- Access by Xinjiang University
Sub-Poissonian processes in quantum optics
Rev. Mod. Phys. 68, 127 – Published 1 January, 1996
DOI: https://doi.org/10.1103/RevModPhys.68.127
Abstract
The author reviews methods for generating sub-Poissonian light and related concepts. This light has energy fluctuations reduced below the level which corresponds to a classical Poissonian process (shot-noise level). After an introduction to the concept of nonclassical light, an overview is given of the main methods of quantum-noise reduction. Sub-Poissonian processes are exemplified in different areas of optics, ranging from single-atom resonance fluorescence to nonlinear optics, laser physics, and cavity quantum electrodynamics. Emphasis is placed on the conceptual foundations, and on developments in laser theory that lead to the possibility, already demonstrated experimentally, of linewidth narrowing and sub-Poissonian light generation in lasers and masers. The sources of quantum noise in these devices are analyzed, and four noise-suppression methods are discussed in detail: regularization of the pumping, suppression of spontaneous-emission noise, nonadiabatic evolution of the atomic variables, and twin-beam generation.
References (234)
- Abraham, N. A., P. Mandel, and L. M. Narducci, 1988, in Dynamic Instabilities and Pulsations in Lasers, edited by E. Wolf, Progress in Optics XXV (Elsevier, Amsterdam)
- Agarwal, G. S., J. A. Bergou, C. Benkert, and M. O. Scully, 1991, Phys. Rev. A 43, 6451
- An, K., J. J. Childs, R. R. Dasari, and M. S. Feld, 1994, Phys. Rev. Lett. 73, 3375
- Arecchi, F. T., 1965, Phys. Rev. Lett. 15, 912
- Barnett, S. M., and D. T. Pegg, 1989, J. Mod. Optics 36, 7
- Benkert, C., M. O. Scully, J. Bergou, L. Davidovich, M. Hillery, and M. Orszag, 1990, Phys. Rev. A 41, 2756
- Benkert, C., M. O. Scully, and M. Orszag, 1990, Phys. Rev. A 42, 1487
- Benkert, C., M. O. Scully, A. A. Rangwala, and W. Schleich, 1990, Phys. Rev. A 42, 1503
- Benkert, C., M. O. Scully, and G. Süssmann, 1990, Phys. Rev. A 41, 6119
- Bergou, J., C. Benkert, L. Davidovich, M. O. Scully, S.-Y. Zhu, and M. S. Zubairy, 1990, Phys. Rev. A 42, 5544
- Bergou, J., L. Davidovich, M. Orszag, C. Benkert, M. Hillery, and M. O. Scully, 1989a, Opt. Commun. 72, 82
- Bergou, J., L. Davidovich, M. Orszag, C. Benkert, M. Hillery, and M. O. Scully, 1989b, Phys. Rev. A 40, 5073
- Bergou, J., and M. Hillery, 1994, Phys. Rev. A 49, 1214
- Björk, G., H. Heitmann, and Y. Yamamoto, 1993, Phys. Rev. A 47, 4451
- Björk, G., and Y. Yamamoto, 1988, Phys. Rev. A 37, 125
- Bohr, N., 1928, Nature 121, 580
- Bondurant, R. S., and J. H. Shapiro, 1984, Phys. Rev. D 30, 2548
- Braginsky, V. B., and Yu. I. Vorontsov, 1974, Usp. Fiz. Nauk 114, 41 [Sov. Phys. Usp. 12, 644 (1975)]
- Braginsky, V. B., Yu. I. Vorontsov, and F. Ya. Khalili, 1977, Zh. Eksp. Teor. Fiz. 73, 1340 [Sov. Phys. JETP 46, 705 (1977)]
- Brune, M., S. Haroche, V. Lefèvre, J. M. Raimond, and N. Zagury, 1990, Phys. Rev. Lett. 65, 976
- Brune, M., S. Haroche, J. M. Raimond, L. Davidovich, and N. Zagury, 1992, Phys. Rev. A 45, 5193
- Brune, M., J. M. Raimond, P. Goy, L. Davidovich, and S. Haroche, 1987, Phys. Rev. Lett. 59, 1899
- Burnham, D. C., and D. L. Weinberg, 1970, Phys. Rev. Lett. 58, 2539
- Carmichael, H. J., 1986, Phys. Rev. A 33, 3262
- Carmichael, H. J., and D. Walls, 1976a, J. Phys. B 9, L43
- Carmichael, H. J., and D. Walls, 1976b, J. Phys. B 9, 1199
- Carvalho, C. R., L. Davidovich, and N. Zagury, 1989, Opt. Commun. 72, 306
- Castelli, F., L. A. Lugiato, and M. Vadacchino, 1988, Nuovo Cimento 10, 183
- Caves, C. M., 1980, Phys. Rev. Lett. 45, 75
- Caves, C. M., 1981, Phys. Rev. D 23, 1693
- Caves, C. M., 1987, Opt. Lett. 12, 971
- Caves, C. M., and B. L. Schumaker, 1985, Phys. Rev. A 31, 3068
- Caves, C. M., K. S. Thorne, R. W. D. Drever, V. D. Sandberg, and M. Zimmermann, 1980, Rev. Mod. Phys. 52, 431
- Chow, W. W., J. Gea-Banacloche, L. M. Pedrotti, V. E. Sanders, W. Schleich, and M. O. Scully, 1985, Rev. Mod. Phys. 57, 61
- Cohen-Tannoudji, C., 1977, in Frontiers in Laser Spectroscopy, Les Houches, Session XXVII (1975), edited by R. Balian, S. Haroche, and S. Liberman (North-Holland, Amsterdam), p. 4
- Cohen-Tannoudji, C., J. Dupont-Roc, and G. Grynberg, 1988, Processus d'Interaction entre Photons et Atomes (InterEditions/Editions du CNRS, Paris) Cohen-Tannoudji, C.J. Dupont-RocG. Grynberg[Atom-Photon Interactions: Basic Processes and Applications, Wiley, New York, 1992]
- Collett, M. J., and C. W. Gardiner, 1984, Phys. Rev. A 30, 1386
- Collett, M. J., and D. F. Walls, 1985, Phys. Rev. A 32, 2887
- Compton, A. H., 1923, Phys. Rev. 21, 483 (1923)
- Dagenais, M., and L. Mandel, 1978, Phys. Rev. A 18, 2217
- Davidovich, L., J. M. Raimond, M. Brune, and S. Haroche, 1987, Phys. Rev. A 36, 3771
- Davidovich, L., S.-Y. Zhu, A. Z. Khoury, and C. Su, 1992, Phys. Rev. A 46, 1630
- Debuisschert, T., S. Reynaud, A. Heidmann, E. Giacobino, and C. Fabre, 1989, Quantum Opt. 1, 3
- Diedrich, F., and H. Walther, 1987, Phys. Rev. Lett. 58, 203
- Dirac, P. A. M., 1927, Proc. Roy. Soc. A 114, 243
- Dorschner, T. A., H. A. Haus, M. Holz, I. W. Smith, and H. Statz, 1980, IEEE J. Quantum Electron. 16, 1376
- Drummond, P. D., and C. W. Gardiner, 1980, J. Phys. A 13, 2353
- Dutra, S. M., and L. Davidovich, 1994, Phys. Rev. A 49, 2986
- Einstein, A., 1905, Ann. Phys. 17, 132
- Einstein, A., 1906, Ann. Phys. 20, 199
- Einstein, A., 1909a, Phys. Z. 10, 185
- Einstein, A., 1909b, Phys. Z. 10, 817
- Einstein, A., 1917, Phys. Z. 18, 121
- Ezekiel, S., J. A. Cole, J. Harrison, and G. Sanders, 1978, in Laser Inertial Rotation Sensors, edited by S. Ezekiel and G. E. Knausenberger (Society of Photo-Optical Instrumentation Engineers, Bellingham, Washington), p. 68
- Fabre, C., 1992, Phys. Rep. 219, 215
- Fabre, C., E. Giacobino, A. Heidmann, and S. Reynaud, 1989, J. Phys. (Paris) 50, 1209
- Filipowicz, P., J. Javanainen, and P. Meystre, 1986a, Phys. Rev. A 34, 3077
- Filipowicz, P., J. Javanainen, and P. Meystre, 1986b, J. Opt. Soc. Am. B 14, 906
- Fontenelle, Márcia T., and L. Davidovich, 1995, Phys. Rev. A 51, 2560
- Freeman, M. J., H. Wang, D. G. Steel, R. Craig, and D. R. Scifres, 1993, Opt. Lett. 18, 379
- Friberg, S., C. K. Hong, and L. Mandel, 1984, Phys. Rev. Lett. 54, 2011
- Gardiner, C. W., 1986, Phys. Rev. Lett. 56, 1917
- Gardiner, C. W., 1991, Quantum Noise (Springer, Berlin)
- Gardiner, C. W., and M. J. Collett, 1985, Phys. Rev. A 31, 3761
- Gardiner, C. W., A. S. Parkins, and M. J. Collett, 1987, J. Opt. Soc. Am. B 4, 1683
- Gauthier, D. J., Q. Wu, S. E. Morin, and T. W. Mossberg, 1992, Phys. Rev. Lett. 68, 464
- Glauber, R. J., 1963a, Phys. Rev. 130, 2529
- Glauber, R. J., 1963b, Phys. Rev. 131, 2766
- Glauber, R. J., 1963c, Phys. Rev. Lett. 10, 84
- Glauber, R. J., 1965, in Quantum Optics and Electronics, edited by C. de Witt, A. Blandin, and C. Cohen-Tannoudji (Gordon and Breach, New York)
- Golubev, Yu. M., and I. V. Sokolov, 1984, Zh. Eksp. Teor. Fiz. 87, 408 [Sov. Phys. JETP 60, 234 (1984)]
- Gordon, J. P., 1967, Phys. Rev. 161, 367
- Graham, R., 1984, Phys. Rev. Lett. 52, 117
- Grangier, P., R. E. Slusher, B. Yurke, and A. La Porta, 1987, Phys. Rev. Lett. 59, 2153
- Guerra, E. S., A. Z. Khoury, L. Davidovich, and N. Zagury, 1991, Phys. Rev. A 44, 7785
- Haake, F., S. M. Tan, and D. F. Walls, 1989, Phys. Rev. A 40, 7121
- Haake, F., S. M. Tan, and D. F. Walls, 1990, Phys. Rev. A 41, 2808
- Haken, H., 1970, in Handbuch der Physik, Vol. XXV/2C, edited by L. Genzel (Springer, Berlin) in Laser Theory, by H. Haken (Springer, Berlin, 1984)
- Haken, H., 1975, Phys. Lett. A 53, 77
- Hanbury-Brown, R., and R. W. Twiss, 1956, Nature 177, 27
- Haroche, S., 1992, in Fundamental Systems in Quantum Optics, Lectures delivered at the Les Houches Summer School, Session LIII, 1990, edited by J. Dalibard, J. M. Raimond, and J. Zinn-Justin (North-Holland, New York), p. 767
- Haus, H. A., and Y. Yamamoto, 1986, Phys. Rev. A 34, 270
- Heidmann, A., R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and C. Camy, 1987, Phys. Rev. Lett. 59, 2555
- Hillery, M., R. F. O'Connell, M. O. Scully, and E. P. Wigner, 1984, Phys. Rep. 106, 121
- Hulet, R. G., and D. Kleppner, 1983, Phys. Rev. Lett. 51, 1430
- Imoto, N., H. A. Haus, and Y. Yamamoto, 1985, Phys. Rev. A 32, 2287
- Inoue, S., S. Machida, Y. Yamamoto, and H. Ohzu, 1993, Phys. Rev. A 48, 2230
- Jaekel, M. T., and S. Reynaud, 1990, Europhys. Lett. 13, 301
- Jakeman, E. T., and J. H. Jefferson, 1986, Opt. Acta 33, 557
- Jaynes, E. T., and F. W. Cummings, 1963, Proc. IEEE 51, 89
- Katanaev, I. I., and A. S. Troshin, 1987, Zh. Eksp. Teor. Fiz. 92, 475 [Sov. Phys. JETP 65, 268 (1987)]
- Kennedy, T. A. B., and D. F. Walls, 1989, Phys. Rev. A 40, 6366
- Kim, C., and P. Kumar, 1991, Opt. Lett. 16, 755
- Kim, C., and P. Kumar, 1992, J. Opt. Soc. Am. B 9, 1379
- Kim, C., and P. Kumar, 1994, Phys. Rev. Lett. 73, 1605
- Kimble, H. J., 1992, in Fundamental Systems in Quantum Optics, edited by J. Dalibard, J. M. Raimond, and J. Zinn-Justin (Elsevier, Amsterdam)
- Kimble, H. J., M. Dagenais, and L. Mandel, 1977, Phys. Rev. Lett. 39, 691
- Kimble, H. J., M. Dagenais, and L. Mandel, 1978, Phys. Rev. A 18, 201
- Kimble, H. J., and L. Mandel, 1976, Phys. Rev. A 13, 2123
- Kitching, J., R. Boyd, A. Yariv, and Y. Shevy, 1994, Opt. Lett. 19, 1331
- Klauder, J. R., J. McKenna, and D. G. Currie, 1965, J. Math. Phys. 6, 733
- Klauder, J. R., and B. S. Skagerstam, 1987, Coherent States: Applications in Physics and Mathematical Physics (World Scientific, Singapore)
- Kolobov, M. I., L. Davidovich, E. Giacobino, and C. Fabre, 1993, Phys. Rev. A 46, 1630
- Kolobov, M. I., and I. V. Sokolov, 1986, Zh. Eksp. Teor. Fiz. 90, 1889 [Sov. Phys. JETP 63, 1105 (1986)]
- Krause, J., M. O. Scully, and H. Walther, 1987, Phys. Rev. A 36, 4547
- Kuppens, S. J. M., M. P. van Exter, and J. P. Woerdman, 1994, Phys. Rev. Lett. 72, 3815
- Lai, Y., H. Haus, and Y. Yamamoto, 1991, Opt. Lett. 19, 1517
- Lane, A. S., M. D. Reid, and D. F. Walls, 1988, Phys. Rev. A 38, 788
- LaPorta, A., R. E. Slusher, and B. Yurke, 1989, Phys. Rev. Lett. 62, 28
- Lax, M., 1966a, Phys. Rev. 145, 110
- Lax, M., 1966b, in Physics of Quantum Electronics, edited by P. L. Kelley, B. Lax, and P. E. Tannenwald (McGraw-Hill, New York), p. 735
- Lax, M., 1967, Phys. Rev. 157, 213
- Lax, M., 1968a, Phys. Rev. 172, 350
- Lax, M., 1968b, in Statistical Physics, Phase Transitions and Superconductivity, edited by M. Chrétien, E. P. Gross, and S. Dreser (Gordon and Breach, New York), Vol. 2, p. 425
- Lax, M., and W. H. Louisell, 1969, Phys. Rev. 185, 568
- Lehman, H., K. Symanzik, and W. Zimmerman, 1955, Nuovo Cimento 1, 1425
- Levenson, M. B., R. M. Shelby, M. Reid, and D. F. Walls, 1986, Phys. Rev. Lett. 57, 2473
- Levine, D. F., and C. G. Bethea, 1984, Appl. Phys. Lett. 44, 649
- Lorenz, E. N., 1963, J. Atmos. Sci. 20, 130
- Loudon, R., 1980, Rep. Prog. Phys. 43, 913
- Loudon, R., 1983, The Quantum Theory of Light, 2nd ed. (Clarendon Press, London)
- Loudon, R., and P. Knight, 1987, J. Mod. Opt. 34, 709
- Louisell, W. H., 1973, Quantum Statistical Properties of Radiation (Wiley, New York)
- Lugiato, L. A., 1984, in Progress in Optics, Vol. 21, edited by E. Wolf (North-Holland, Amsterdam), p. 69
- Lugiato, L. A., and G. Strini, 1982, Opt. Commun. 41, 447
- Machida, S., and Y. Yamamoto, 1986, Opt. Commun. 57, 290
- Machida, S., and Y. Yamamoto, 1988, Phys. Rev. Lett. 60, 792
- Machida, S., and Y. Yamamoto, 1989, Opt. Lett. 60, 1045
- Machida, S., Y. Yamamoto, and Y. Itaya, 1987, Phys. Rev. Lett. 58, 1000
- Maeda, M. W., P. Kumar, and J. H. Shapiro, 1986, Opt. Lett. 12, 161
- Maia Neto, P. A., and L. Davidovich, 1992, Phys. Rev. A 45, 3139
- Maiman, T. H., 1960, Nature 187, 493
- Mandel, L., 1979, Opt. Lett. 4, 205
- Mandel, L., 1982, Phys. Rev. Lett. 49, 136
- Mandel, L., 1986, Phys. Scr. T 12, 34
- Mandel, L., and E. Wolf, 1965, Rev. Mod. Phys. 37, 231
- Marte, M. and P. Zoller, 1990, Quantum Opt. 2, 229
- Mehta, C. L., and E. C. G. Sudarshan, 1965, Phys. Rev. 138, B274
- Mertz, J., T. Debuisschert, A. Heidmann, C. Fabre, and E. Giacobino, 1991, Opt. Lett. 16, 1234
- Mertz, J., A. Heidmann, C. Fabre, E. Giacobino, and S. Reynaud, 1990, Phys. Rev. Lett. 64, 2897
- Meschede, D., H. Walther, and G. Mueller, 1985, Phys. Rev. Lett. 54, 551
- Meystre, P., G. Rempe, and H. Walther, 1988, Opt. Lett. B 13, 1078
- Milonni, P., M.-L. Shi, and J. R. Ackerhalt, 1987, Chaos in Laser-Matter Interactions (World Scientific, Singapore)
- Nabors, C. D., and R. M. Shelby, 1990, Phys. Rev. A 42, 556
- Nussenzveig, A., J. Hare, A. M. Steinberg, L. Moi, M. Gross, and S. Haroche, 1991, Europhys. Lett. 14, 755
- Nussenzveig, H. M., 1974, Introduction to Quantum Optics (Gordon and Breach, New York)
- Orozco, L. A., M. G. Raizen, M. Xiao, R. J. Brecha, and H. J. Kimble, 1987, J. Opt. Soc. Am. B 4, 1490
- Orszag, M., R. Ramírez, J. C. Retamal, and C. Saavedra, 1994, Phys. Rev. A 49, 2933
- Pace, A. F., M. J. Collett, and D. F. Walls, 1993, Phys. Rev. A 47, 3173
- Pais, A., 1982, Subtle is the Lord... The Science and the Life of Albert Einstein (Oxford University, New York)
- Parkins, A. S., and C. W. Gardiner, 1988, Phys. Rev. A 37, 3867
- Pegg, D. T., and S. M. Barnett, 1988, Europhys. Lett. 6, 483
- Pegg, D. T., and S. M. Barnett, 1989, Phys. Rev. A 39, 1665
- Pereira, S. F., M. Xiao, H. J. Kimble, and J. L. Hall, 1989, Phys. Rev. A 38, 4931
- Planck, M., 1900a, Verh. Deutsch. Phys. Ges. 2, 202
- Planck, M., 1900b, Verh. Deutsch. Phys. Ges. 2, 237
- Polzik, E. S., J. Carri, and H. J. Kimble, 1992, Phys. Rev. Lett. 68, 3020
- Prokhorov, A. M., 1965, Science 149, 828
- Quang, T., 1992, Phys. Rev. A 46, 682
- Raizen, M. G., L. A. Orosco, M. Xiao, T. L. Boyd, and H. J. Kimble, 1987, Phys. Rev. Lett. 29, 198
- Ralph, T. C., and C. M. Savage, 1991, Opt. Lett. 16, 1113
- Rarity, J. G., P. R. Tapster, and E. Jakeman, 1987, Opt. Commun. 62, 201
- Reid, M. D., 1988, Phys. Rev. A 37, 4792
- Reid, M. D., and D. Walls, 1983, Phys. Rev. A 28, 332
- Reid, M. D., and D. Walls, 1986, Phys. Rev. A 34, 4929
- Rempe, G., F. Schmidt-Kaler, and H. Walther, 1990, Phys. Rev. Lett. 64, 2783
- Rempe, G., and H. Walther, 1990, Phys. Rev. A 42, 1650
- Rempe, G., H. Walther, and N. Klein, 1987, Phys. Rev. Lett. 58, 353
- Reynaud, S., 1987, Europhys. Lett. 4, 427
- Reynaud, S., 1990, Ann. Phys. (Paris) 15, 63 (1990)
- Reynaud, S., C. Fabre, and E. Giacobino, 1987, J. Opt. Soc. Am. B 4, 1520
- Reynaud, S., A. Heidmann, E. Giacobino, and C. Fabre, 1992, in Progress in Optics, Vol. 30, edited by E. Wolf (Elsevier, Amsterdam)
- Richardson, W. H., S. Machida, and Y. Yamamoto, 1991, Phys. Rev. Lett. 66, 2867
- Richardson, W. H., and R. E. Shelby, 1990, Phys. Rev. Lett. 64, 400
- Risken, H., 1984, The Fokker-Planck Equation (Springer, Berlin)
- Ritsch, H., M. Marte, and P. Zoller, 1992, Europhys. Lett. 19, 7
- Ritsch, H., P. Zoller, C. W. Gardiner, and D. F. Walls, 1991, Phys. Rev. A 44, 3361
- Sargent, M., III, M. O. Scully, and W. E. Lamb, Jr., 1974, Laser Physics (Addison-Wesley, Reading, MA)
- Schawlow, A. L., and C. H. Townes, 1958, Phys. Rev. 112, 1940
- Schleich, W., and M. O. Scully, 1988, Phys. Rev. A 37, 1261
- Schumaker, B. L., 1984, Opt. Lett. 9, 189
- Schumaker, B. L., and C. M. Caves, 1985, Phys. Rev. A 31, 3093
- Scully, M. O., 1985, Phys. Rev. Lett. 55, 2802
- Scully, M. O., and W. E. Lamb, Jr., 1967, Phys. Rev. 159, 208
- Scully, M. O., G. Süssman, and C. Benkert, 1988, Phys. Rev. Lett. 60, 1014
- Scully, M. O., K. Wódkiewicz, M. S. Zubairy, J. Bergou, N. Lu, and J. Meyer ter Vehn, 1988, Phys. Rev. Lett. 60, 1832
- Scully, M. O., and M. S. Zubairy, 1987, Phys. Rev. A 35, 752
- Scully, M. O., M. S. Zubairy, and K. Wódkiewicz, 1988, Opt. Commun. 65, 440
- Shapiro, J. H., G. Saplakoglu, S. T. Ho, P. Kumar, B. E. A. Saleh, and M. C. Teich, 1987, J. Opt. Soc. Am. B 4, 1604
- Shelby, R. M., M. D. Levenson, and P. W. Byer, 1985, Phys. Rev. Lett. 54, 939
- Shelby, R. M., M. D. Levenson, S. H. Perlmutter, R. G. DeVoe, and D. F. Walls, 1986, Phys. Rev. Lett. 57, 691
- Short, R., and L. Mandel, 1983, Phys. Rev. Lett. 51, 384
- Sizman, A., R. J. Horowicz, G. Wagner, and G. Leuchs, 1990, Opt. Commun. 80, 138
- Slusher, R. E., L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, 1985, Phys. Rev. Lett. 55, 2409
- Snyder, J. J., E. Giacobino, C. Fabre, A. Heidmann, and M. Ducloy, 1990, J. Opt. Soc. Am. B 7, 2132
- Sorokin, P. P., and N. Braslau, 1964, IBM J. Res. Dev. 8, 177
- Stoler, D., 1970, Phys. Rev. D 1, 3217
- Stoler, D., 1971, Phys. Rev. D 4, 1925
- Stoler, D., and Yurke, B., 1986, Phys. Rev. A 34, 3143
- Sudarshan, E. C. G., 1963, Phys. Rev. Lett. 10, 277
- Susskind, L., and J. Glogower, 1964, Physics 1, 49
- Takahashi, H., 1965, in Advances in Communication Systems, Vol. 1, edited by A. V. Balakrishnan (Academic, New York)
- Tapster, P. R., J. G. Rarity, and J. S. Satchell, 1987, Europhys. Lett. 4, 293
- Tapster, P. R., S. F. Seward, and J. G. Rarity, 1991, Phys. Rev. A 44, 3266
- Teich, M. C., and B. E. A. Saleh, 1985, J. Opt. Soc. Am. B 2, 275
- Teich, M. C., and B. E. A. Saleh, 1988, in Progress in Optics, Vol. 26, edited by E. Wolf (North-Holland, Amsterdam), p. 104
- Teich, M. C., and B. E. A. Saleh, 1989, Quantum Opt. 1, 153
- Unruh, W. G., 1978, Phys. Rev. D 18, 1764
- Unruh, W. G., 1983, in Quantum Optics, Experimental Gravity, and Measurement Theory, edited by P. Meystre and M. O. Scully (Plenum, New York), p. 647
- Van Kampen, N. G., 1981, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam)
- Walker, J. G., and E. Jakeman, 1985, Opt. Acta 32, 1303
- Walls, D. F., 1983, Nature 306, 141
- Walls, D. F., and G. J. Milburn, 1994, Quantum Optics (Springer, Berlin)
- Wang, H., M. Freeman, D. G. Steel, 1993, Phys. Rev. Lett. 71, 3951
- Wehner, E., R. Seno, N. Sterpi, B.-G. Englert, and H. Walther, 1994, Opt. Commun. 110, 655
- Wigner, E. P., 1932, Phys. Rev. 40, 769
- Winters, M., J. Hall, and P. Toschek, 1990, Phys. Rev. Lett. 65, 3116
- Wu, L.-A., H. J. Kimble, J. L. Hall, and H. Wu, 1986, Phys. Rev. Lett. 57, 2520
- Wu, L.-A., M. Xiao, and H. J. Kimble, 1988, J. Opt. Soc. Am. B 4, 1465
- Xiao, M., L. A. Wu, and H. J. Kimble, 1987, Phys. Rev. Lett. 59, 278
- Yamamoto, Y., N. Imoto, and S. Machida, 1986, Phys. Rev. A 33, 3243
- Yamamoto, Y., and S. Machida, 1987, Phys. Rev. A 35, 5114
- Yamamoto, Y., S. Machida, N. Imoto, M. Kitagawa, and G. Björk, 1987, J. Opt. Soc. Am. B 4, 1645
- Yamamoto, Y., S. Machida, and O. Nilsson, 1986, Phys. Rev. A 34, 4025
- Yamamoto, Y., S. Machida, S. Saito, N. Imoto, T. Yanagawa, M. Kitagawa, and G. Bjork, 1990, in Progress in Optics, Vol. 28, edited E. Wolf (North-Holland, Amsterdam), p. 89
- Yuen, H. P., 1975, Phys. Lett. A 51, 1
- Yuen, H. P., 1976, Phys. Rev. A 13, 2226
- Yuen, H. P., 1986, Phys. Rev. Lett. 56, 2176
- Yuen, H. P., and V. W. S. Chan, 1983, Opt. Lett. 8, 177
- Yuen, H. P., and J. H. Shapiro, 1980, IEEE Trans. Inf. Theory 26, 78
- Yurke, B., 1984, Phys. Rev. A 29, 408
- Zhu, S.-Y., C. Su, and L. Z. Wang, 1991, Opt. Commun. 85, 350
- Zhu, S.-Y., M. S. Zubairy, C. Su, and J. Bergou, 1992, Phys. Rev. A 45, 499
- Zou, X. T., and L. Mandel, 1990, Phys. Rev. A 41, 475