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Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
Phys. Rev. D 80, 016002 – Published 6 July, 2009
DOI: https://doi.org/10.1103/PhysRevD.80.016002
Abstract
We present atom-interferometer tests of the local Lorentz invariance of post-Newtonian gravity. An experiment probing for anomalous vertical gravity on Earth, which has already been performed, uses the highest-resolution atomic gravimeter so far. The influence of Lorentz violation in electrodynamics is also taken into account, resulting in combined bounds on Lorentz violation in gravity and electrodynamics. Expressed within the standard model extension or Nordtvedt’s anisotropic universe model, we limit 12 linear combinations of seven coefficients for Lorentz violation at the part per billion level, from which we derive limits on six coefficients (and seven when taking into account additional data from lunar laser ranging). We also discuss the use of horizontal interferometers, including atom-chip or guided-atom devices, which potentially allow the use of longer coherence times in order to achieve higher sensitivity.
Viewpoint
Catching relativity violations with atoms
Measuring quantum interference of atomic matter waves may help detect experimental signatures of a fundamental theory of physics.
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References (64)
- C. M. Will, Astrophys. J. 169, 141 (1971); Living Rev. Relativity 4, 4 (2001).
- G. Amelino-Camelia, C. Lämmerzahl, A. Macias, and H. Müller, AIP Conf. Proc. 758, 30 (2005).
- V. A. Kostelecký and M. Mewes, Phys. Rev. Lett. 97, 140401 (2006); 99, 011601 (2007).
- V. A. Kostelecký and M. Mewes, Phys. Rev. D 66, 056005 (2002).
- S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990); R. Bluhm, V. A. Kostelecký, and C. D. Lane, Phys. Rev. Lett. 84, 1098 (2000); V. W. Hughes et al., ibid. 87, 111804 (2001); J. A. Lipa, J. A. Nissen, S. Wang, D. A. Stricker, and D. Avaloff, ibid. 90, 060403 (2003); H. Müller, S. Herrmann, C. Braxmaier, S. Schiller, and A. Peters, ibid. 91, 020401 (2003); P. Wolf, S. Bize, A. Clairon, G. Santarelli, M. E. Tobar, and A. N. Luiten, Phys. Rev. D 70, 051902(R) (2004); P. L. Stanwix et al., Phys. Rev. Lett. 95, 040404 (2005); S. Herrmann, A. Senger, E. Kovalchuk, H. Müller, and A. Peters, ibid. 95, 150401 (2005); M. E. Tobar, P. Wolf, A. Fowler, and J. G. Hartnett, Phys. Rev. D 71, 025004 (2005); P. Antonini, M. Okhapkin, E. Göklü, and S. Schiller, Phys. Rev. A 72, 066102 (2005); P. L. Stanwix, M. E. Tobar, P. Wolf, C. R. Locke, and E. N. Ivanov, Phys. Rev. D 74, 081101(R) (2006); C. D. Carone, M. Sher, and M. Vanderhaeghen, 74, 077901 (2006); B. Feng, M. Li, J. Q. Xia, X. Chen, and X. Zhang, Phys. Rev. Lett. 96, 221302 (2006); S. Reinhardt et al., Nature Phys. 3, 861 (2007); M. Hohensee, A. Glenday, C.-H. Li, M. E. Tobar, and P. Wolf, Phys. Rev. D 75, 049902(E) (2007); F. R. Klinkhamer and M. Risse, ibid. 77, 016002 (2008).
- H. Müller et al., Phys. Rev. Lett. 99, 050401 (2007).
- R. K. Mittleman, I. I. Ioannou, H. G. Dehmelt, N. Russelland , Phys. Rev. Lett. 83, 2116 (1999); H. Dehmelt, R. Mittleman, R. S. VanDyck, and P. Schwinberg, 83, 4694 (1999); L.-S. Hou, W. T. Ni, and Y.-C. M. Li, 90, 201101 (2003); B. R. Heckel et al., 97, 021603 (2006); B. Altschul, Phys. Rev. D 74, 083003 (2006); 75, 041301(R) (2007).
- T. W. Kornack, G. Vasilakis, and M. V. Romalis, in CPT and Lorentz Symmetry IV, edited by V. A. Kostelecký (World Scientific, Singapore, 2008).
- L. Hunter et al., in CPT and Lorentz Symmetry I, edited by V. A. Kostelecký (World Scientific, Singapore, 1999).
- V. A. Kostelecky and C. D. Lane, Phys. Rev. D 60, 116010 (1999).
- H. Müller, S. Herrmann, A. Saenz, A. Peters, and C. Lämmerzahl, Phys. Rev. D 68, 116006 (2003).
- C. D. Lane, Phys. Rev. D 72, 016005 (2005).
- G. Gabrielse et al., Phys. Rev. Lett. 82, 3198 (1999); D. F. Phillips, M. A. Humphrey, E. M. Mattison, R. E. Stoner, R. F. C. Vessot, and R. L. Walsworth, Phys. Rev. D 63, 111101 (2001); M. A. Humphrey et al., Phys. Rev. A 68, 063807 (2003); P. Wolf, F. Chapelet, S. Bize, and A. Clairon, Phys. Rev. Lett. 96, 060801 (2006).
- D. Bear, R. E. Stoner, R. L. Walsworth, V. A. Kostelecky, and C. D. Lane, Phys. Rev. Lett. 85, 5038 (2000); F. Cané et al., ibid. 93, 230801 (2004); B. Altschul, Phys. Rev. D 75, 023001 (2007).
- D. Mattingly, Living Rev. Relativity 8, 5 (2005).
- C. M. Will, Living Rev. Relativity 9, 3 (2006)
- C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).
- V. A. Kostelecky and N. Russell, arXiv:0801.0287.
- K. Nordvedt, Phys. Rev. D14, 1511 (1976).
- D. Colladay and V. A. Kostelecky, Phys. Rev. D 55, 6760 (1997); 58, 116002 (1998).
- V. A. Kostelecky, Phys. Rev. D 69, 105009 (2004).
- Q. G. Bailey and V. A. Kostelecky, Phys. Rev. D 74, 045001 (2006).
- J. C. Harrison, N. F. Ness, I. M. Longman, R. F. S. Forbes, E. A. Kraut, and L. B. Slichter, J. Geophys. Res. 68, 1497 (1963).
- K. Nordtvedt and C. M. Will, Astrophys. J. 177, 775 (1972).
- J. B. R. Battat, J. F. Chandler, and C. W. Stubbs, Phys. Rev. Lett. 99, 241103 (2007).
- H. Müller, S. Herrmann, A. Saenz, A. Peters, and C. Lämmerzahl, Phys. Rev. D 68, 116006 (2003).
- H. Müller, Phys. Rev. D 71, 045004 (2005).
- H. Müller, S. Herrmann, A. Saenz, A. Peters, and C. Lämmerzahl, Phys. Rev. D 70, 076004 (2004).
- A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, arXiv:0712.3703v1 [Rev. Mod. Phys. (to be published)].
- M. Kasevich and S. Chu, Phys. Rev. Lett. 67, 181 (1991).
- S. Chu, Nature (London) 416, 206 (2002).
- J. Le Gouët, T. Mehlstäubler, J. Kim, Sébastien Merlet, A. Clairon, A. Landragin, and F. P. Dos Santos, arXiv:0801.1270v1.
- H. Müller, S.-w. Chiow, S. Herrmann, S. Chu, and K.-Y. Chung, Phys. Rev. Lett. 100, 031101 (2008).
- D. S. Weiss, B. C. Young, and S. Chu, Phys. Rev. Lett. 70, 2706 (1993); M. Weitz, B. C. Young, and S. Chu, ibid. 73, 2563 (1994).
- A. Wicht et al., Phys. Scr. T102, 82 (2002).
- P. Cladé et al., Phys. Rev. Lett. 96, 033001 (2006); Phys. Rev. A 74, 052109 (2006).
- H. Müller et al., Appl. Phys. B 84, 633 (2006).
- H. Müller, S.-w. Chiow, Q. Long, S. Herrmann, and S. Chu, Phys. Rev. Lett. 100, 180405 (2008).
- A. Peters, K. Y. Chung, and S. Chu, Nature (London) 400, 849 (1999); Metrologia 38, 25 (2001).
- M. J. Snadden, J. M. McGuirk, P. Bouyer, K. G. Haritos, and M. A. Kasevich, Phys. Rev. Lett. 81, 971 (1998).
- T. L. Gustavson, A. Landragin, and M. A. Kasevich, Classical Quantum Gravity 17, 2385 (2000).
- D. S. Durfee, Y. K. Shaham, and M. A. Kasevich, Phys. Rev. Lett. 97, 240801 (2006).
- B. Canuel, F. Leduc, D. Holleville, A. Gauguet, J. Fils, A. Virdis, A. Clairon, N. Dimarcq, Ch. J. Borde, A. Landragin, and P. Bouyer, Phys. Rev. Lett. 97, 010402 (2006).
- J. B. Fixler et al., Science 315, 74 (2007).
- G. Lamporesi, A. Bertoldi, L. Cacciapuoti, M. Prevedelli, and G. M. Tino, Phys. Rev. Lett. 100, 050801 (2008).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, and M. A. Kasevich, Phys. Rev. Lett. 98, 111102 (2007); Phys. Rev. D 78, 042003 (2008).
- S. Dimopoulos, P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Phys. Rev. D 78, 122002 (2008).
- J. M. Hensley, A. Peters, and S. Chu, Rev. Sci. Instrum. 70, 2735 (1999).
- P. Treutlein, K. Y. Chung, and S. Chu, Phys. Rev. A 63, 051401(R) (2001).
- K. Chung, Ph.D. thesis, Stanford University, 2001.
- S. Hofferberth, I. Lesanovsky, B. Fischer, J. Verdu, and J. Schmiedmayer, Nature Phys. 2, 710 (2006).
- Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, Phys. Rev. Lett. 94, 090405 (2005).
- Y. Shin, C. Sanner, G.-B. Jo, T. A. Pasquini, M. Saba, W. Ketterle, D. E. Pritchard, M. Vengalattore, and M. Prentiss, Phys. Rev. A 72, 021604(R) (2005).
- S. Wu, E. J. Su, and M. Prentiss, Phys. Rev. Lett. 99, 173201 (2007).
- S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy, and D. M. Stamper-Kurn, Phys. Rev. Lett. 95, 143201 (2005).
- M. Li, Y. Pang, and Y. Wang, arXiv:0903.0227v2 [Phys. Rev. D (to be published)].
- H. Müller, S. Herrmann, A. Senger, E. Kovalchuk, A. Peters, P. L. Stanwix, M. E. Tobar, E. Ivanov, and P. Wolf, in CPT and Lorentz Symmetry IV, edited by A Kostelecký (World Scientific, Singapore, 2008), p. 302.
- Calculated from the Tamura [64] potentials using the ETGTAB v3.0 solid earth tide data generation software by H. G. Wenzel, Universität Karlsruhe. See, for example, http://www.geo.uni-jena.de/geophysik/etc/etcdat/etgtab/.
- G. D. Egbert, A. Bennett, and M. G. G. Foreman, J. Geophys. Res. 99, 24821 (1994).
- A. Herdegen and J. Wawrzycki, Phys. Rev. D 66, 044007 (2002).
- J. Overduin, in CPT and Lorentz Symmetry IV, edited by A Kostelecký (World Scientific, Singapore, 2008), p. 199.
- S. Herrmann, S.-w. Chiow, S. Chu, and H. Müller, arXiv:0901.1819.
- H. Müller, S.-w. Chiow, S. Herrmann, and S. Chu, arXiv:0903.4192 [Phys. Rev. Lett. (to be published)].
- Y. Tamura, Bulletin d’Information Marées Terrestres, edited by P. Melchior (Observatoire Royal de Belgique, Brussels, 1987), Vol. 99, p. 6813.