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The Unruh effect and its applications

Luís C. B. Crispino*, Atsushi Higuchi†, and George E. A. Matsas‡

Luís C. B. Crispino*

  • Faculdade de Física, Universidade Federal do Pará, Campus Universitário do Guamá, 66075-900 Belém, Pará, Brazil

Atsushi Higuchi†

  • Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom

George E. A. Matsas‡

  • Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SP, Brazil

  • *crispino@ufpa.br
  • †ah28@york.ac.uk
  • ‡matsas@ift.unesp.br
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Rev. Mod. Phys. 80, 787 – Published 1 July, 2008

DOI: https://doi.org/10.1103/RevModPhys.80.787

Abstract

It has been 30years since the discovery of the Unruh effect. It has played a crucial role in our understanding that the particle content of a field theory is observer dependent. This effect is important in its own right and as a way to understand the phenomenon of particle emission from black holes and cosmological horizons. The Unruh effect is reviewed here with particular emphasis on its applications. A number of recent developments are also commented on and some controversies are discussed. Effort is also made to clarify what seem to be common misconceptions.

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References (274)

  1. Abe, O., 1990, “Response function of accelerated monopole detector in R×T3 space-time,” Phys. Rev. D 41, 1897–1900.
  2. Abramowitz, M., and I. A. Stegun, 1965, Handbook of Mathematical Functions (Dover, New York).
  3. Alsing, P. M., J. P. Dowling, and G. J. Milburn, 2005, “Ion trap simulations of quantum fields in an expanding universe,” Phys. Rev. Lett. 94, 220401.
  4. Alsing, P. M., I. Fuentes-Schuller, R. B. Mann, and T. E. Tessier, 2006, “Entanglement of Dirac fields in non-inertial frames,” Phys. Rev. A 74, 032326.
  5. Alsing, P. M., D. McMahon, and G. J. Milburn, 2004, “Teleportation in a non-inertial frame,” J. Opt. B: Quantum Semiclassical Opt. 6, S834–S843.
  6. Alsing, P. M., and G. J. Milburn, 2003, “Teleportation with a uniformly accelerated partner,” Phys. Rev. Lett. 91, 180404.
  7. Alves, D. T., and L. C. B. Crispino, 2004, “Response rate of a uniformly accelerated source in the presence of boundaries,” Phys. Rev. D 70, 107703.
  8. Arnowitt, R., S. Deser, and C. W. Misner, 1962, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York), pp. 227–265.
  9. Ashtekar, A., and A. Magnon, 1975, “Quantum fields in curved space-times,” Proc. R. Soc. London, Ser. A 346, 375–394.
  10. Assmann, R., et al., 1995, in High-Energy Spin Physics (SPIN 94), edited by K. J. Heller and S. L. Smith, AIP Conf. Proc. No. 343 (AIP, Woodbury, NY), pp. 219–229.
  11. Audretsch, J., M. Mensky, and R. Müller, 1995, “Continuous measurement and localization in the Unruh effect,” Phys. Rev. D 51, 1716–1727.
  12. Audretsch, J., and R. Müller, 1994a, “Radiation from a uniformly accelerated particle detector: Energy, particles, and the quantum measurement process,” Phys. Rev. D 49, 6566–6575.
  13. Audretsch, J., and R. Müller, 1994b, “Spontaneous excitation of an accelerated atom: The contributions of vacuum fluctuations and radiation reaction,” Phys. Rev. A 50, 1755–1763.
  14. Baier, V. N., and V. M. Katkov, 1967, “Radiative polarization of electrons in a magnetic field,” Zh. Eksp. Teor. Fiz. 52, 1422–1426 [Sov. Phys. JETP 25, 944–947 (1967)].
  15. Barber, D. P., 1999, in Proceedings of the 13th International Symposium on High-energy Spin Physics (SPIN 98), edited by N. E. Tyurin, V. L. Solovianov, S. M. Troshin, and A. G. Ufimtsev (World Scientific, Singapore), pp. 246–254.
  16. Barber, D. P., and S. R. Mane, 1988, “Calculations of Bell and Leinaas and Derbenev and Kondratenko for radiative electron polarization,” Phys. Rev. A 37, 456–463.
  17. Barber, D. P., et al., 1994, “High spin polarization at the HERA electron storage ring,” Nucl. Instrum. Methods Phys. Res. A 338, 166–184.
  18. Barshay, S., H. Braun, J. P. Gerber, and G. Maurer, 1980, “Possible evidence for fluctuations in the hadronic temperature,” Phys. Rev. D 21, 1849–1853.
  19. Barshay, S., and W. Troost, 1978, “A possible origin for temperature in strong interactions,” Phys. Lett. 73B, 437–439.
  20. Barut, A. O., 1980, Electrodynamics and Classical Theory of Fields and Particles (Dover, New York).
  21. Barut, A. O., and J. P. Dowling, 1990, “Quantum electrodynamics based on self-fields: On the origin of thermal radiation detected by an accelerating observer,” Phys. Rev. A 41, 2277–2283.
  22. Bautista, E., 1993, “Acceleration through the Dirac-Pauli vacuum and effects of an external field,” Phys. Rev. D 48, 783–789.
  23. Bekenstein, J. D., 1973, “Black holes and entropy,” Phys. Rev. D 7, 2333–2346.
  24. Bekenstein, J. D., 1983, “Entropy bounds and the second law for black holes,” Phys. Rev. D 27, 2262–2270.
  25. Belinskii, V. A., B. M. Karnakov, V. D. Mur, and N. B. Narozhnyi, 1997, “Does the Unruh effect exist?,” Pis'ma Zh. Eksp. Teor. Fiz. 65, 861–866 [JETP Lett. 65, 902–908 (1997)].
  26. Bell, J. S., and J. M. Leinaas, 1983, “Electrons as accelerated thermometers,” Nucl. Phys. B 212, 131–150.
  27. Bell, J. S., and J. M. Leinaas, 1987, “The Unruh effect and quantum fluctuations of electrons in storage rings,” Nucl. Phys. B 284, 488–508.
  28. Belyanin, A., V. V. Kocharovsky, F. Capasso, E. Fry, M. S. Zubairy, and M. O. Scully, 2006, “Quantum electrodynamics of accelerated atoms in free space and in cavities,” Phys. Rev. A 74, 023807.
  29. Benatti, F., and R. Floreanini, 2004, “Entangled generation in uniformly accelerating atoms: Reexamination of the Unruh effect,” Phys. Rev. A 70, 012112.
  30. Bernard, C., 1974, “Feynman rules for gauge theories at finite temperature,” Phys. Rev. D 9, 3312–3320.
  31. Birrell, N. D., and P. C. W. Davies, 1982, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England).
  32. Bisognano, J. J., and E. H. Wichmann, 1975, “On the duality condition for a Hermitian scalar field,” J. Math. Phys. 16, 985–1007.
  33. Bisognano, J. J., and E. H. Wichmann, 1976, “On the duality condition for quantum fields,” J. Math. Phys. 17, 303–321.
  34. Boulware, D. G., 1975a, “Quantum field theory in Schwarzschild and Rindler spaces,” Phys. Rev. D 11, 1404–1423.
  35. Boulware, D. G., 1975b, “Spin-1∕2 quantum field theory in Schwarzschild space,” Phys. Rev. D 12, 350–367.
  36. Boulware, D. G., 1980, “Radiation from a uniformly accelerated charge,” Ann. Phys. (N.Y.) 124, 169–188.
  37. Bousso, R., 2002, “The holographic principle,” Rev. Mod. Phys. 74, 825–874.
  38. Boyer, R. H., 1969, “Geodesic Killing orbits and bifurcate Killing horizons,” Proc. R. Soc. London, Ser. A 311, 245–252.
  39. Boyer, T. H., 1980, “Thermal effects of acceleration through random classical radiation,” Phys. Rev. D 21, 2137–2148.
  40. Boyer, T. H., 1984, “Thermal effects of acceleration for a classical dipole oscillator in classical electromagnetic zero-point radiation,” Phys. Rev. D 29, 1089–1095.
  41. Brádler, K., 2007, “Eavesdropping of quantum communication from a noninertial frame,” Phys. Rev. A 75, 022311.
  42. Brout, B., S. Massar, R. Parentani, and P. Spindel, 1995, “A primer for black hole quantum physics,” Phys. Rep. 260, 329–446.
  43. Brown, L. S., and G. Gabrielse, 1986, “Geonium theory, Physics of a single electron or ion in a Penning trap,” Rev. Mod. Phys. 58, 233–311.
  44. Buchholz, D., and J. Schlemmer, 2007, “Local temperature in curved spacetime,” Class. Quantum Grav. 24, F25–F31.
  45. Calogeracos, A., 2002a, “Radiation from accelerated mirrors following prescribed relativistic asymptotically inertial trajectories,” J. Phys. A 35, 3415–3434.
  46. Calogeracos, A., 2002b, “Radiation from perfect mirrors starting from rest and accelerating forever and the black body spectrum,” J. Phys. A 35, 3435–3445.
  47. Calogeracos, A., 2004, “Recalculation of the spectrum of the radiation emitted during gravitational collapse,” Phys. Lett. A 329, 1–7.
  48. Camerini, U., D. Cline, J. Learned, A. K. Mann, and L. K. Resvanis, 1975, “Measurement of the radiative electron polarization in a 2.4−GeV storage ring,” Phys. Rev. D 12, 1855–1858.
  49. Candelas, P., and D. Deutsch, 1977, “On the vacuum stress induced by uniform acceleration or supporting the ether,” Proc. R. Soc. London, Ser. A 354, 79–99.
  50. Candelas, P., and D. Deutsch, 1978, “Fermion fields in accelerated states,” Proc. R. Soc. London, Ser. A 362, 251–262.
  51. Candelas, P., and J. S. Dowker, 1979, “Field theories on conformally related space-times: Some global considerations,” Phys. Rev. D 19, 2902–2907.
  52. Castiñeiras, J., L. C. B. Crispino, G. E. A. Matsas, and D. A. T. Vanzella, 2002, “Free massive particles with total energy E<mc2 in curved spacetimes,” Phys. Rev. D 65, 104019.
  53. Castiñeiras, J., and G. E. A. Matsas, 2000, “Low-energy sector quantization of a massless scalar field outside a Reissner-Nordström black hole and static sources,” Phys. Rev. D 62, 064001.
  54. Castiñeiras, J., I. P. C. e Silva, and G. E. A. Matsas, 2003, “Do static sources respond to massive scalar particles from the Hawking radiation as uniformly accelerated ones do in the inertial vacuum?,” Phys. Rev. D 67, 067502.
  55. Chen, P., and T. Tajima, 1999, “Testing Unruh radiation with ultraintense lasers,” Phys. Rev. Lett. 83, 256–259.
  56. Chmielowski, P., 1994, “States of scalar field on spacetimes with two isometries with timelike orbits,” Class. Quantum Grav. 11, 41–56.
  57. Christensen, S. M., and S. A. Fulling, 1977, “Trace anomalies and the Hawking effect,” Phys. Rev. D 15, 2088–2104.
  58. Cognola, G., and P. Lecca, 1998, “Electromagnetic fields in Schwarzschild and Reissner-Nordström geometry: Quantum corrections to the black hole entropy,” Phys. Rev. D 57, 1108–1111.
  59. Cole, D. C., 1985, “Properties of a classical charged harmonic oscillator accelerated through classical electromagnetic zero-point radiation,” Phys. Rev. D 31, 1972–1981.
  60. Coleman, S. R., 1973, “There are no Goldstone bosons in two dimensions,” Commun. Math. Phys. 31, 259–264.
  61. Copeland, E. J., P. C. W. Davies, and K. Hinton, 1984, “Acceleration radiation in a compact space,” Class. Quantum Grav. 1, 179–187.
  62. Costa, S. S., and G. E. A. Matsas, 1995, “Background thermal contributions in testing the Unruh effect,” Phys. Rev. D 52, 3466–3471.
  63. Crispino, L. C. B., A. Higuchi, and G. E. A. Matsas, 1998, “Interaction of Hawking radiation and a static electric charge,” Phys. Rev. D 58, 084027.
  64. Crispino, L. C. B., A. Higuchi, and G. E. A. Matsas, 2001, “Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena,” Phys. Rev. D 63, 124008.
  65. Crispino, L. C. B., A. Higuchi, and G. E. A. Matsas, 2004, “Is the equivalence for the response of static scalar sources in the Schwarzschild and Rindler spacetimes valid only in four dimensions?,” Phys. Rev. D 70, 127504.
  66. Davies, P. C. W., 1975, “Scalar particle production in Schwarzschild and Rindler metrics,” J. Phys. A 8, 609–616.
  67. Davies, P. C. W., 1976, “On the origin of black hole evaporation radiation,” Proc. R. Soc. London, Ser. A 351, 129–139.
  68. Davies, P. C. W., T. Dray, and C. A. Manogue, 1996, “Detecting the rotating quantum vacuum,” Phys. Rev. D 53, 4382–4387.
  69. Davies, P. C. W., and S. A. Fulling, 1977a, “Quantum vacuum energy in two dimensional space-times,” Proc. R. Soc. London, Ser. A 354, 59–77.
  70. Davies, P. C. W., and S. A. Fulling, 1977b, “Radiation from moving mirrors and from black holes,” Proc. R. Soc. London, Ser. A 356, 237–257.
  71. Davies, P. C. W., S. A. Fulling, and W. G. Unruh, 1976, “Energy-momentum tensor near an evaporating black hole,” Phys. Rev. D 13, 2720–2723.
  72. Davies, P. C. W., Z. X. Liu, and A. C. Ottewill, 1989, “Particle detectors in the presence of boundaries,” Class. Quantum Grav. 6, 1041–1051.
  73. De Bièvre, S., and M. Merkli, 2006, “The Unruh effect revisited,” Class. Quantum Grav. 23, 6525–6541.
  74. Derbenev, Y. S., and A. M. Kondratenko, 1973, “Polarization kinetics of particles in storage rings,” Zh. Eksp. Teor. Fiz. 64, 1918–1929 [Sov. Phys. JETP 37, 968–973 (1973)].
  75. Deser, S., and O. Levin, 1997, “Accelerated detectors and temperature in (anti-)de Sitter spaces,” Class. Quantum Grav. 14, L163–L168.
  76. DeWitt, B. S., 1975, “Quantum field theory in curved spacetime,” Phys. Lett., C 19, 295–357.
  77. DeWitt, B. S., 1979, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking, and W. Israel (Cambridge University Press, Cambridge, England), pp. 680–745.
  78. Díaz, D. E., and J. Stephany, 2002, “Rindler particles and classical radiation,” Class. Quantum Grav. 19, 3753–3759.
  79. Ebert, D., and V. C. Zhukovsky, 2007, “Restoration of dynamically broken chiral and color symmetries for an accelerated observer,” Phys. Lett. B 645, 267–274.
  80. Eriksen, E., and Ø. Grøn, 2000a, “Electrodynamics of hyperbolically accelerated charges I. The electromagnetic field of a charged particle with hyperbolic motion,” Ann. Phys. (N.Y.) 286, 320–342.
  81. Eriksen, E., and Ø. Grøn, 2000b, “Electrodynamics of hyperbolically accelerated charges II. Does a charged particle with hyperbolic motion radiate?,” Ann. Phys. (N.Y.) 286, 343–372.
  82. Eriksen, E., and Ø. Grøn, 2000c, “Electrodynamics of hyperbolically accelerated charges III. Energy-momentum of the field of a hyperbolically moving charge,” Ann. Phys. (N.Y.) 286, 373–399.
  83. Eriksen, E., and Ø. Grøn, 2002, “Electrodynamics of hyperbolically accelerated charges IV. Energy-momentum conservation of radiating charged particles,” Ann. Phys. (N.Y.) 297, 243–294.
  84. Eriksen, E., and Ø. Grøn, 2004, “Electrodynamics of hyperbolically accelerated charges V. The field of a charge in the Rindler space and the Milne space,” Ann. Phys. (N.Y.) 313, 147–196.
  85. Fedotov, A. M., V. D. Mur, N. B. Narozhny, V. A. Belinskii, and B. M. Karnakov, 1999, “Quantum field aspect of the Unruh problem,” Phys. Lett. A 254, 126–132.
  86. Ford, G. W., and R. F. O’Connell, 2006, “Is there Unruh radiation?,” Phys. Lett. A 350, 17–26.
  87. Fregolente, D., G. E. A. Matsas, and D. Vanzella, 2006, “Semiclassical approach to the decay of protons in circular motion under the influence of gravitational fields,” Phys. Rev. D 74, 045032.
  88. Friedman, J. L., 1978, “Generic instability of rotating relativistic stars,” Commun. Math. Phys. 62, 247–278.
  89. Frolov, V. P., and V. L. Ginzburg, 1986, “Excitation and radiation of an accelerated detector and anomalous Doppler effect,” Phys. Lett. A 116, 423–426.
  90. Fuentes-Schuller, I., and R. B. Mann, 2005, “Alice falls into a black hole: Entanglement in noninertial frames,” Phys. Rev. Lett. 95, 120404.
  91. Fulling, S. A., 1973, “Nonuniqueness of canonical field quantization in Riemannian space-time,” Phys. Rev. D 7, 2850–2862.
  92. Fulling, S. A., 1977, “Alternative vacuum states in static space-times with horizons,” J. Phys. A 10, 917–951.
  93. Fulling, S. A., 1989, Aspects of Quantum Field Theory in Curved Space-Time (Cambridge University Press, Cambridge, England).
  94. Fulling, S. A., 2005, “Review of some recent work on acceleration radiation,” J. Mod. Opt. 52, 2207–2213.
  95. Fulling, S. A., and P. C. W. Davies, 1976, “Radiation from a moving mirror in two dimensional space-time: Conformal anomaly,” Proc. R. Soc. London, Ser. A 348, 393–414.
  96. Fulling, S. A., L. Parker, and B. L. Hu, 1974, “Conformal energy-momentum tensor in curved spacetime: Adiabatic regularization and renormalization,” Phys. Rev. D 10, 3905–3924; 11, 1714(E) (1975).
  97. Fulling, S. A., and S. N. M. Ruijsenaars, 1987, “Temperature, periodicity and horizons,” Phys. Rep. 152, 135–176.
  98. Fulling, S. A., M. Sweeny, and R. M. Wald, 1978, “Singularity structure of the two-point function in quantum field theory in curved spacetime,” Commun. Math. Phys. 63, 257–264.
  99. Fulling, S. A., and W. G. Unruh, 2004, “Comment on ‘Boundary conditions in the Unruh problem,' ” Phys. Rev. D 70, 048701.
  100. Fulton, T., and F. Rohrlich, 1960, “Classical radiation from a uniformly accelerated charge,” Ann. Phys. (N.Y.) 9, 499–517.
  101. Gabriel, C., P. Spindel, S. Massar, and R. Parentani, 1998, “Interacting charged particles in an electric field and the Unruh effect,” Phys. Rev. D 57, 6496–6510.
  102. Garbrecht, B., and T. Prokopec, 2004a, “Energy density in expanding universes as seen by an Unruh detector,” Phys. Rev. D 70, 083529.
  103. Garbrecht, B., and T. Prokopec, 2004b, “Unruh response functions for scalar fields in de Sitter space,” Class. Quantum Grav. 21, 4993–5004.
  104. Gerlach, U. H., 1983, “Absolute nature of the thermal ambiance of accelerated observers,” Phys. Rev. D 27, 2310–2315.
  105. Gerlach, U. H., 1988, “Minkowski Bessel modes,” Phys. Rev. D 38, 514–521.
  106. Gibbons, G. W., and S. W. Hawking, 1977, “Cosmological event horizons, thermodynamics, and particle creation,” Phys. Rev. D 15, 2738–2751.
  107. Gibbons, G. W., and M. J. Perry, 1976, “Black holes and thermal Green’s functions,” Proc. R. Soc. London, Ser. A 358, 467–494.
  108. Gingrich, R. M., and C. Adami, 2002, “Quantum entanglement of moving bodies,” Phys. Rev. Lett. 89, 270402.
  109. Gingrich, R. M., A. J. Bergou, and C. Adami, 2003, “Entangled light in moving frames,” Phys. Rev. A 68, 042102.
  110. Ginzburg, V. L., 1969, “Radiation and radiation friction force in uniformly accelerated motion of a charge,” Usp. Fiz. Nauk 98, 569–585 [Sov. Phys. Usp. 12, 565–674 (1970)].
  111. Ginzburg, V. L., and V. P. Frolov, 1987, “Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector,” Usp. Fiz. Nauk 153, 633–674 [Sov. Phys. Usp. 30, 1073–1095 (1987)].
  112. Ginzburg, V. L., and G. F. Zharkov, 1964, “Pion and beta-ray emission by protons moving in a magnetic field,” Zh. Eksp. Teor. Fiz. 47, 2279–2284 [Sov. Phys. JETP 20, 1525–1528 (1965)].
  113. Glauber, R. J., 1963, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539.
  114. Gradshteyn, I. S., and I. M. Ryzhik, 1980, Table of Integrals, Series and Products (Academic, New York).
  115. Grishchuk, L. P., Y. B. Zel’dovich, and L. V. Rozhanskii, 1987, “Equivalence principle and the zero-point field fluctuation,” Zh. Eksp. Teor. Fiz. 92, 20–27 Grishchuk, L. P., Y. B. Zel"dovich, and L. V. Rozhanskii[Sov. Phys. JETP 65, 11–14 (1987)].
  116. Grove, P. G., 1986, “On an inertial observer’s interpretation of the detection of radiation by linearly accelerated particle detectors,” Class. Quantum Grav. 3, 801–809.
  117. Grove, P. G., and A. C. Ottewill, 1983, “Notes on ‘particle detectors,’ ” J. Phys. A 16, 3905–3920.
  118. Grove, P. G., and A. C. Ottewill, 1985, “Is acceleration radiation isotropic?,” Class. Quantum Grav. 2, 373–380.
  119. Guimarães, A. C. C., G. E. A. Matsas, and D. A. T. Vanzella, 1998, “Background thermal depolarization of electrons in storage rings,” Phys. Rev. D 57, 4461–4466.
  120. Haag, R., N. M. Hugenholtz, and M. Winnink, 1967, “On the equilibrium states in quantum statistical mechanics,” Commun. Math. Phys. 5, 215–236.
  121. Hartle, J. B., and S. W. Hawking, 1976, “Path-integral derivation of black-hole radiance,” Phys. Rev. D 13, 2188–2203.
  122. Hawking, S. W., 1974, “Black-hole explosions,” Nature (London) 248, 30–31.
  123. Hawking, S. W., 1975, “Particle creation by black-holes,” Commun. Math. Phys. 43, 199–220.
  124. Higuchi, A., 1987, “Quantisation of scalar and vector fields inside the cosmological event horizon and its application to the Hawking effect,” Class. Quantum Grav. 4, 721–740.
  125. Higuchi, A., 1989, “Massive symmetric tensor field in spacetimes with a positive cosmological constant,” Nucl. Phys. B 325, 745–765.
  126. Higuchi, A., 2002, “Radiation reaction in quantum field theory,” Phys. Rev. D 66, 105004; 69, 129903(E) (2004).
  127. Higuchi, A., and G. D. R. Martin, 2004, “Lorentz-Dirac force from QED for linear acceleration,” Phys. Rev. D 70, 081701(R).
  128. Higuchi, A., and G. D. R. Martin, 2005, “Classical and quantum radiation reaction for linear acceleration,” Found. Phys. 35, 1149–1179.
  129. Higuchi, A., and G. E. A. Matsas, 1993, “Fulling-Davies-Unruh effect in classical field theory,” Phys. Rev. D 48, 689–697.
  130. Higuchi, A., G. E. A. Matsas, and C. B. Peres, 1993, “Uniformly accelerated finite-time detectors,” Phys. Rev. D 48, 3731–3734.
  131. Higuchi, A., G. E. A. Matsas, and D. Sudarsky, 1992a, “Bremsstrahlung and Fulling-Davies-Unruh thermal bath,” Phys. Rev. D 46, 3450–3457.
  132. Higuchi, A., G. E. A. Matsas, and D. Sudarsky, 1992b, “Bremsstrahlung and zero-energy Rindler photons,” Phys. Rev. D 45, R3308–R3311.
  133. Higuchi, A., G. E. A. Matsas, and D. Sudarsky, 1997, “Do static sources outside a Schwarzschild black hole radiate?,” Phys. Rev. D 56, R6071–R6075.
  134. Higuchi, A., G. E. A. Matsas, and D. Sudarsky, 1998, “Interaction of Hawking radiation with static sources outside a Schwarzschild black hole,” Phys. Rev. D 58, 104021.
  135. Hill, C. T., 1985, “Can the Hawking effect thaw a broken symmetry?,” Phys. Lett. 155B, 343–346.
  136. Hinterleitner, F., 1993, “Inertial and accelerated particle detectors with back-reaction in flat space-time,” Ann. Phys. (N.Y.) 226, 165–204.
  137. Hinton, K. J., 1983, “Particle detectors in Rindler and Schwarzschild space-times,” J. Phys. A 16, 1937–1946.
  138. Hinton, K. J., P. C. W. Davies, and J. Pfautsch, 1983, “Accelerated observers do not detect isotropic thermal bath,” Phys. Lett. 120B, 88–90.
  139. Hu, B. L., and A. Roura, 2004, “Comment on ‘Enhancing acceleration radiation from ground-state atoms via cavity quantum electrodynamics,’ ” Phys. Rev. Lett. 93, 129301.
  140. Hu, B. L., A. Roura, and S. Shesta, 2004, “Vacuum fluctuations and moving atoms/detectors: from the Casimir Polder to the Unruh-Davies-DeWitt-Fulling effect,” J. Opt. B: Quantum Semiclassical Opt. 6, S698–S705.
  141. Israel, W., and J. M. Nester, 1983, “Is acceleration radiation isotropic,” Phys. Lett. 98A, 329–331.
  142. Itzykson, C., and J.-B. Zuber, 1980, Quantum Field Theory (McGraw-Hill, New York).
  143. Iyer, B. R., and A. Kumar, 1980, “Detection of Dirac quanta in Rindler and black hole space-times and the ξ quantization scheme,” J. Phys. A 13, 469–478.
  144. Jackson, J. D., 1976, “On understanding spin-flip synchrotron radiation and the transverse polarization of electrons in storage rings,” Rev. Mod. Phys. 48, 417–433.
  145. Jackson, J. D., 1999, Classical Electrodynamics, 3rd ed. (Wiley, New York).
  146. Jacobson, T., 1995, “Thermodynamics of spacetime: The Einstein equation of state,” Phys. Rev. Lett. 75, 1260–1263.
  147. Jacobson, T., 1998, “Comment on accelerated detectors and temperature in (anti-)de Sitter spaces,” Class. Quantum Grav. 15, 251–253.
  148. Jacobson, T., and R. Parentani, 2003, “Horizon entropy,” Found. Phys. 33, 323–348.
  149. Járegui, R., M. Torres, and S. Hacyan, 1991, “Dirac vacuum: Acceleration and external-field effects,” Phys. Rev. D 43, 3979–3989.
  150. Johnson, J. R., R. Prepost, D. E. Wiser, J. J. Murray, R. F. Schwitters, and C. K. Sinclair, 1983, “Beam polarization measurements at the spear storage ring,” Nucl. Instrum. Methods Phys. Res. 204, 261–268.
  151. Johnston, H., and S. Sarkar, 1995, “Moving mirrors and time-varying dielectrics,” Phys. Rev. A 51, 4109–4115.
  152. Jost, R., 1965, The General Theory of Quantized Fields (American Mathematical Society, Providence, RI).
  153. Kay, B. S., 1978, “Linear spin-zero quantum fields in external gravitational and scalar fields,” Commun. Math. Phys. 62, 55–70.
  154. Kay, B. S., 1985, “The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes,” Commun. Math. Phys. 100, 57–81.
  155. Kay, B. S., 1993, “Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space-times with horizons,” J. Math. Phys. 34, 4519–4539.
  156. Kay, B. S., 2001, in Proceedings Journée Équations aux Derivée Partielles, GDR 1151 (CNRS), Nantes 2000, IX-1-19.
  157. Kay, B. S., and R. M. Wald, 1991, “Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,” Phys. Rep. 207, 49–136.
  158. Kharzeev, D., 2006, “Quantum black holes and thermalization in relativistic heavy ion collisions,” Nucl. Phys. A 774, 315–324.
  159. Kharzeev, D., and K. Tuchin, 2005, “From color glass condensate to quark-gluon plasma through the event horizon,” Nucl. Phys. A 753, 316–334.
  160. Kim, S. K., K. S. Soh, and J. H. Yee, 1987, “Zero-point field in a circular-motion frame,” Phys. Rev. D 35, 557–561.
  161. Kim, W.-J., J. H. Brownell, and R. Onofrio, 2006, “Detectability of dissipative motion in quantum vacuum via superradiance,” Phys. Rev. Lett. 96, 200402; 97, 089902(E) (2006).
  162. Knudsen, L., J. P. Koutchouk, M. Placidi, R. Schmidt, M. Crozon, J. Badier, A. Blondel, and B. Dehning, 1991, “First observation of transverse beam polarization in LEP,” Phys. Lett. B 270, 97–104.
  163. Kok, P., and U. Yurtsever, 2003, “Gravitational decoherence,” Phys. Rev. D 68, 085006.
  164. Kolbenstvedt, H., 1987, “Anisotropy of thermal radiation by accelerated detectors; an aberration effect,” Phys. Lett. A 122, 292–294.
  165. Kolbenstvedt, H., 1988, “Inertial interpretation of the Unruh effect,” Phys. Rev. D 38, 1118–1121.
  166. Korsbakken, J. I., and J. M. Leinaas, 2004, “Fulling-Unruh effect in general stationary accelerated frames,” Phys. Rev. D 70, 084016.
  167. Krivitskii, V. S., and V. N. Tsytovich, 1991, “Average radiation-reaction force in quantum electrodynamics,” Usp. Fiz. Nauk 161, 125–141 [Sov. Phys. Usp. 34, 250–258 (1991)].
  168. Kruskal, M. D., 1960, “Maximal extension of Schwarzschild metric,” Phys. Rev. 119, 1743–1745.
  169. Kubo, R., 1957, “Statistical-mechanics theory of irreversible processes. I. General theory and simple application to magnetic and conduction problems,” J. Phys. Soc. Jpn. 12, 570–586.
  170. Langlois, P., 2005, “Imprints of spacetime topology in the Hawking-Unruh effect,” Ph.D. thesis (University of Nottingham, Nottingham).
  171. Langlois, P., 2006, “Causal particle detectors and topology,” Ann. Phys. (N.Y.) 321, 2027–2070.
  172. Leinaas, J. M., 1999, in Proceedings of the 15th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics, edited by P. Chen (World Scientific, Singapore), pp. 577–593.
  173. Leinaas, J. M., 2002, in Proceedings of the 18th Advanced ICFA Beam Dynamics Workshop on Quantum Aspects of Beam Physics, edited by P. Chen (World Scientific, Singapore), pp. 336–352.
  174. Letaw, J. R., 1981, “Stationary world lines and the vacuum excitation of noninertial detectors,” Phys. Rev. D 23, 1709–1714.
  175. Letaw, J. R., and J. D. Pfautsch, 1980, “Quantized scalar field in rotating coordinates,” Phys. Rev. D 22, 1345–1351.
  176. Letaw, J. R., and J. D. Pfatsch, 1982, “The stationary coordinate systems in flat spacetime,” J. Math. Phys. 23, 425–431.
  177. Levin, O., Y. Peleg, and A. Peres, 1992, “Quantum detector in an accelerated cavity,” J. Phys. A 25, 6471–6481.
  178. Levin, O., Y. Peleg, and A. Peres, 1993, “Unruh effect for circular motion in a cavity,” J. Phys. A 26, 3001–3011.
  179. Lin, S.-Y., and B. L. Hu, 2006, “Accelerated detector-quantum field correlations: From vacuum fluctuations to radiation flux,” Phys. Rev. D 73, 124018.
  180. Louko, J., and A. Satz, 2006, “How often does the Unruh-DeWitt detector click? Regularization by a spatial profile,” Class. Quantum Grav. 23, 6321–6343.
  181. Marolf, D., D. Minic, and S. F. Ross, 2004, “Notes on spacetime thermodynamics and the observer dependence of entropy,” Phys. Rev. D 69, 064006.
  182. Marolf, D., and R. D. Sorkin, 2002, “Perfect mirrors and the self-accelerating box paradox,” Phys. Rev. D 66, 104004.
  183. Marolf, D., and R. D. Sorkin, 2004, “On the status of highly entropic objects,” Phys. Rev. D 69, 024014.
  184. Martin, P. C., and J. Schwinger, 1959, “Theory of many-particle systems. I,” Phys. Rev. 115, 1342–1373.
  185. Martinetti, P., and C. Rovelli, 2003, “Diamond’s temperature: Unruh effect for bounded trajectories and thermal time hypothesis,” Class. Quantum Grav. 20, 4919–4931.
  186. Massar, S., and R. Parentani, 1996, “From vacuum fluctuation to radiation. I. Accelerated detectors,” Phys. Rev. D 54, 7426–7443.
  187. Massar, S., R. Parentani, and R. Brout, 1993, “On the problem of the uniformly accelerated oscillator,” Class. Quantum Grav. 10, 385–395.
  188. Massar, S., and P. Spindel, 2006, “Einstein-Podolsky-Rosen correlations between two uniformly accelerated oscillators,” Phys. Rev. D 74, 085031.
  189. Matsas, G. E. A., 1996, “Rindler and Minkowski particles relationship revisited,” Phys. Lett. B 380, 24–28.
  190. Matsas, G. E. A., and A. R. R. da Silva, 2005, “New thought experiment to test the generalized second law of thermodynamics,” Phys. Rev. D 71, 107501.
  191. Matsas, G. E. A., and D. A. T. Vanzella, 1999, “Decay of protons and neutrons induced by acceleration,” Phys. Rev. D 59, 094004.
  192. Montague, B. W., 1984, “Polarized beams in high energy storage rings,” Phys. Rep. 113, 1–96.
  193. Moore, G. T., 1970, “Quantum theory of the electromagnetic field in a variable-length one-dimensional cavity,” J. Math. Phys. 11, 2679–2691.
  194. Mourou, G. A., T. Tajima, and S. V. Bulanov, 2006, “Optics in the relativistic regime,” Rev. Mod. Phys. 78, 309–371.
  195. Müller, R., 1997, “Decay of accelerated particles,” Phys. Rev. D 56, 953–960.
  196. Myhrvold, N. P., 1985, “Thermal radiation from accelerated electrons,” Ann. Phys. (N.Y.) 160, 102–113.
  197. Narnhofer, H., I. Peter, and W. Thirring, 1996, “How hot is the de Sitter space?,” Int. J. Mod. Phys. B 10, 1507–1520.
  198. Narozhny, N. B., A. M. Fedotov, B. M. Karnakov, V. D. Mur, and V. A. Belinskii, 2002, “Boundary conditions in the Unruh problem,” Phys. Rev. D 65, 025004.
  199. Narozhny, N. B., A. M. Fedotov, B. M. Karnakov, V. D. Mur, and V. A. Belinskii, 2004, “Reply to ‘Comment on ‘Boundary conditions in the Unruh problem,’ ’ ” Phys. Rev. D 70, 048702.
  200. Nikishov, A. I., 1970, “Quantum processes in a constant electric field,” Zh. Eksp. Teor. Fiz. 59, 1262–1272 [Sov. Phys. JETP 32, 690–694 (1971)].
  201. Nikishov, A. I., and V. I. Ritus, 1964a, “Quantum processes in the field of a plane electromagnetic wave and in a constant field,” Zh. Eksp. Teor. Fiz. 46, 1768–1781 [Sov. Phys. JETP 19, 1191–1199 (1964)].
  202. Nikishov, A. I., and V. I. Ritus, 1964b, “Quantum processes in the field of a plane electromagnetic wave and in a constant field. I,” Zh. Eksp. Teor. Fiz. 46, 776–796 [Sov. Phys. JETP 19, 529–541 (1964)].
  203. Nikishov, A. I., and V. I. Ritus, 1988, “Processes induced by a charged particle in an electric field and the Unruh heat-bath concept,” Zh. Eksp. Teor. Fiz. 94, 31–47 [Sov. Phys. JETP 68, 1313–1321 (1988)].
  204. Obadia, N., 2007, “Moving detectors in cavities,” Phys. Rev. D 76, 045013.
  205. Obadia, N., and M. Milgrom, 2007, “Unruh effect for general trajectories,” Phys. Rev. D 75, 065006.
  206. Ohsaku, T., 2004, “Dynamical chiral symmetry breaking and its restoration for an accelerated observer,” Phys. Lett. B 599, 102–110.
  207. Oriti, D., 2000, “The spinor field in Rindler spacetime: An analysis of the Unruh effect,” Nuovo Cimento Soc. Ital. Fis., B 115, 1005–1024.
  208. Padmanabhan, T., 1985, “Why does an accelerated detector click?,” Class. Quantum Grav. 2, 117–126.
  209. Padmanabhan, T., 2005, “Gravity and the thermodynamics of horizons,” Phys. Rep. 406, 49–125.
  210. Parentani, R., 1995, “The recoils of the accelerated detector and the decoherence of its fluxes,” Nucl. Phys. B 454, 227–249.
  211. Parentani, R., and S. Massar, 1997, “Schwinger mechanism, Unruh effect, and production of accelerated black holes,” Phys. Rev. D 55, 3603–3613.
  212. Parentani, R., and R. Potting, 1989, “Accelerating observer and the Hagedorn temperature,” Phys. Rev. Lett. 63, 945–948.
  213. Parker, L., 1968, “Particle creation in expanding universes,” Phys. Rev. Lett. 21, 562–564.
  214. Peña, I., C. Chryssomalakos, A. Corichi, and D. Sudarsky, 2005, “On a puzzle about bremsstrahlung as described by coaccelerated observers,” Phys. Rev. D 72, 084018.
  215. Peres, A., P. F. Scudo, and D. R. Terno, 2002, “Quantum entropy and Special Relativity,” Phys. Rev. Lett. 88, 230402.
  216. Peres, A., and D. R. Terno, 2004, “Quantum information and relativity theory,” Rev. Mod. Phys. 76, 93–123.
  217. Pringle, L. N., 1989, “Rindler observers, correlated states, boundary conditions, and the meaning of the thermal spectrum,” Phys. Rev. D 39, 2178–2186.
  218. Raine, D. J., D. W. Sciama, and P. G. Grove, 1991, “Does a uniformly accelerated quantum oscillator radiate?,” Proc. R. Soc. London, Ser. A 435, 205–215.
  219. Reeh, H., and Schlieder, 1961, “Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern,” Nuovo Cimento 22, 1051–1068.
  220. Ren, H., and E. J. Weinberg, 1994, “Radiation from a moving scalar source,” Phys. Rev. D 49, 6526–6533.
  221. Reznik, B., 1998, “Unruh effect with back reaction—A first quantized system,” Phys. Rev. D 57, 2403–2409.
  222. Reznik, B., A. Retzker, and J. Silman, 2005, “Violating Bell’s inequality in vacuum,” Phys. Rev. A 71, 042104.
  223. Rindler, W., 1966, “Kruskal space and the uniformly accelerated frame,” Am. J. Phys. 34, 1174–1178.
  224. Ritus, V. I., 1969, “Effect of an electromagnetic field on decays of elementary particles,” Zh. Eksp. Teor. Fiz. 56, 986–1005 [Sov. Phys. JETP 29, 532–541 (1969)].
  225. Rogers, J., 1988, “Detector for the temperaturelike effect of acceleration,” Phys. Rev. Lett. 61, 2113–2116.
  226. Rohrlich, F., 1961, “The definition of electromagnetic radiation,” Nuovo Cimento 21, 811–822.
  227. Rosu, H. C., 2001, “Hawking-like and Unruh-like effects: Toward experiments?,” Gravitation Cosmol. 7, 1–17.
  228. Sanchez, N., 1981, “Quantum detection on the vacuum by non-uniformly accelerated observers,” Phys. Lett. 105B, 375–380.
  229. Sanchez, N., 1985, “Comments on quantum detection and the anisotropy of thermal radiation by accelerated observers,” Phys. Lett. 112A, 133–137.
  230. Satz, A., 2007, “Then again, how often does the Unruh-DeWitt detector click if we switch it carefully?,” Class. Quantum Grav. 24, 1719–1731.
  231. Schlicht, S., 2004, “Considerations on the Unruh effect: Causality and regularization,” Class. Quantum Grav. 21, 4647–4660.
  232. Schützhold, R., G. Schaller, and D. Habs, 2006, “Signatures of the Unruh effect from electrons accelerated by ultrastrong laser fields,” Phys. Rev. Lett. 97, 121302.
  233. Schützhold, R., and M. Uhlmann, 2007, “Analogue of cosmological particle creation in an ion trap,” Phys. Rev. Lett. 99, 201301.
  234. Schützhold, R., and W. G. Unruh, 2005, “Comment on ‘Teleportation with a uniformly accelerated partner,’ ” e-print arXiv:quant-ph/0506028.
  235. Sciama, D. W., P. Candelas, and D. Deutsch, 1981, “Quantum field theory, horizon and thermodynamics,” Adv. Phys. 30, 327–366.
  236. Scully, M. O., V. Kocharovsky, A. Belyanin, E. Fry, and F. Capasso, 2004, “Scully et al. Reply to Comment on ‘Enhancing acceleration radiation from ground-state atoms via cavity quantum electrodynamics,’ ” Phys. Rev. Lett. 93, 129302.
  237. Scully, M. O., V. V. Kocharovsky, A. Belyanin, E. Fry, and F. Capasso, 2003, “Enhancing acceleration radiation from ground-state atoms via cavity quantum electrodynamics,” Phys. Rev. Lett. 91, 243004.
  238. Sewell, G. L., 1982, “Quantum fields on manifolds: PCT and gravitationally induced thermal states,” Ann. Phys. (N.Y.) 141, 201–224.
  239. Sexl, R. U., and H. K. Urbantke, 1969, “Production of particles by gravitational fields,” Phys. Rev. 179, 1247–1250.
  240. Soffel, M., B. Muller, and W. Greiner, 1980, “Dirac particles in Rindler space,” Phys. Rev. D 22, 1935–1937.
  241. Sokolov, A. A., and I. M. Ternov, 1963, “On polarization and spin effects in the theory of synchrotron radiation,” Dokl. Akad. Nauk SSSR153, 1052–1054 [Sov. Phys. Dokl. 7, 1203–1205 (1964)].
  242. Sriramkumar, L., and T. Padmanabhan, 1996, “Finite-time response of inertial and uniformly accelerated Unruh-DeWitt detectors,” Class. Quantum Grav. 13, 2061–2079.
  243. Streater, R. F., and A. S. Wightman, 1964, PCT, Spin and Statistics, and All That (Benjamin, New York).
  244. Susskind, L., and J. Uglum, 1994, “Black hole entropy in canonical quantum gravity and superstring theory,” Phys. Rev. D 50, 2700–2711.
  245. Suzuki, H., and K. Yamada, 2003, “Analytic evaluation of the decay rate for an accelerated proton,” Phys. Rev. D 67, 065002.
  246. Svaiter, B. F., and N. F. Svaiter, 1992, “Inertial and noninertial particle detectors and vacuum fluctuations,” Phys. Rev. D 46, 5267–5277.
  247. Takagi, S., 1984, “On the response of a particle detector in a circular motion,” Prog. Theor. Phys. 72, 1270–1272.
  248. Takagi, S., 1986, “Vacuum noise and stress induced by uniform acceleration—Hawking-Unruh effect in Rindler manifold of arbitrary dimension,” Prog. Theor. Phys. Suppl. 88, 1–142.
  249. Tolman, R. C., 1934, Relativity, Thermodynamics and Cosmology (Oxford University Press, Oxford).
  250. Uhlmann, M., G. Plunien, R. Schützhold, and G. Soff, 2004, “Resonant cavity photon creation via the dynamical Casimir effect,” Phys. Rev. Lett. 93, 193601.
  251. Unruh, W. G., 1976, “Notes on black-hole evaporation,” Phys. Rev. D 14, 870–892.
  252. Unruh, W. G., 1977, in Proceedings of the 1st Marcel Grossmann Meeting on General Relativity, edited by R. Ruffini (North-Holland, Amsterdam), pp. 527–536.
  253. Unruh, W. G., 1981, “Experimental black-hole evaporation?,” Phys. Rev. Lett. 46, 1351–1353.
  254. Unruh, W. G., 1992, “Thermal bath and decoherence of Rindler spacetimes,” Phys. Rev. D 46, 3271–3277.
  255. Unruh, W. G., 1998, “Acceleration radiation for orbiting electrons,” Phys. Rep. 307, 163–171.
  256. Unruh, W. G., 1999, in Proceedings of the Quantum Aspects of Beam Physics Conference, edited by P. Chen (World Scientific, Singapore).
  257. Unruh, W. G., and R. M. Wald, 1982, “Acceleration radiation and the generalized second law of thermodynamics,” Phys. Rev. D 25, 942–958.
  258. Unruh, W. G., and R. M. Wald, 1983, “Entropy bounds, acceleration radiation, and the generalized second law,” Phys. Rev. D 27, 2271–2276.
  259. Unruh, W. G., and R. M. Wald, 1984, “What happens when an accelerating observer detects a Rindler particle,” Phys. Rev. D 29, 1047–1056.
  260. Unruh, W. G., and N. Weiss, 1984, “Acceleration radiation in interacting field theories,” Phys. Rev. D 29, 1656–1662.
  261. Vanzella, D. A. T., and G. E. A. Matsas, 2000, “Weak decay of uniformly accelerated protons and related processes,” Phys. Rev. D 63, 014010.
  262. Vanzella, D. A. T., and G. E. A. Matsas, 2001, “Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect,” Phys. Rev. Lett. 87, 151301.
  263. Volovik, G. E., 1992, Exotic Properties of Superfluid He3 (World Scientific, Singapore).
  264. Wald, R. M., 1978, “Trace anomaly of a conformally invariant quantum field in curved spacetime,” Phys. Rev. D 17, 1477–1484.
  265. Wald, R. M., 1984, General Relativity (University of Chicago Press, Chicago).
  266. Wald, R. M., 1994, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, Chicago Lectures in Physics (University of Chicago Press, Chicago).
  267. Wald, R. M., 2001, “The thermodynamics of black holes,” Living Rev. Relativ. 4, Irr-2001-6.
  268. Wightman, A. S., 1956, “Quantum field theory in terms of vacuum expectation values,” Phys. Rev. 101, 860–866.
  269. Yablonovitch, E., 1989, “Accelerating reference frame for electromagnetic waves in a rapidly growing plasma: Unruh-Davies-Fulling-DeWitt radiation and the nonadiabatic Casimir effect,” Phys. Rev. Lett. 62, 1742–1745.
  270. Yablonovitch, E., J. P. Heritage, D. E. Aspnes, and Y. Yafet, 1989, “Virtual photoconductivity,” Phys. Rev. Lett. 63, 976–979.
  271. Yao, W.-M., et al., 2006, “Review of particle physics,” J. Phys. G 33, 1–1232.
  272. Zharkov, G. F., 1965, “Pion emission and beta decay of a proton moving in a magnetic field,” Yad. Fiz. 1, 173–182 [Sov. J. Nucl. Phys. 1, 120–126 (1965)].
  273. Zhu, Z., and H. Yu, 2007, “Fulling-Davies-Unruh effect and spontaneous excitation of an accelerated atom interacting with a quantum scalar field,” Phys. Lett. B 645, 459–465.
  274. Zurek, W. H., 1991, “Decoherence and the transition from quantum to classical,” Phys. Today 44 (10), 36–44.

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Rev. Mod. Phys. 80, 787– Published 1 July, 2008

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