Possibility of observing energy decoherence due to quantum gravity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 5 A, 2004, Pages

  Simon, Christoph ^a   Jaksch, Dieter ^b  

^a CNRS   (France)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; GRAVITATION; HIGH ENERGY PHYSICS; INTERFEROMETRY; MATHEMATICAL MODELS; PARTICLE ACCELERATORS; SYSTEMS ANALYSIS;

ENERGY DECOHERENCE; MULTIATOM ENTANGLEMENT; PLANCK ENERGY; QUANTUM GRAVITY;

QUANTUM THEORY;

EID: 37649032340     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.052104     Document Type: Article

References (48)

1. T. Jacobson, S. Liberati, and D. Mattingly, Nature (London) 424, 1019 (2003); G. Amelino-Camelia, J. Ellis, N.B. Mavromatos, D.V. Nanopoulos, and S. Sarkar, ibid. 393, 763 (1998).
2. T. Jacobson, S. Liberati, and D. Mattingly, Nature (London) 424, 1019 (2003); G. Amelino-Camelia, J. Ellis, N.B. Mavromatos, D.V. Nanopoulos, and S. Sarkar, ibid. 393, 763 (1998).
3. J. Ellis, J.S. Hagelin, D.V. Nanopoulos, and M. Srednicki, Nucl. Phys. B 241, 381 (1984); S. Hawking, Commun. Math. Phys. 87, 395 (1982).
4. J. Ellis, J.S. Hagelin, D.V. Nanopoulos, and M. Srednicki, Nucl. Phys. B 241, 381 (1984); S. Hawking, Commun. Math. Phys. 87, 395 (1982).
5. R. Penrose, in Mathematical Physics 2000, edited by A. Fokas et al. (Imperial College, London, 2000). The most promising approach for testing this type of predicted decoherence is the creation of superposition states of massive objects in distinct locations, see W. Marshall, C. Simon, R. Penrose, and D. Bouwmeester, Phys. Rev. Lett. 91, 130401 (2003). The decoher ence rates predicted by the Penrose model for energy superpositions of the kind discussed in the present paper are vanishingly small.
6. R. Penrose, in Mathematical Physics 2000, edited by A. Fokas et al. (Imperial College, London, 2000). The most promising approach for testing this type of predicted decoherence is the creation of superposition states of massive objects in distinct locations, see W. Marshall, C. Simon, R. Penrose, and D. Bouwmeester, Phys. Rev. Lett. 91, 130401 (2003). The decoher ence rates predicted by the Penrose model for energy superpositions of the kind discussed in the present paper are vanishingly small.
7. R. Gambini, R.A. Porto, and J. Pullin, Class. Quantum Grav. 21, L51 (2004).
8. G.J. Milburn, Phys. Rev. A 44, 5401 (1991).
9. M. Yasuda and H. Katori, Phys. Rev. Lett. 92, 153004 (2004).
10. J. McKeever, J.R. Buck, A.D. Boozer, and H.J. Kimble, e-print quant-ph/0403121.
11. J. Finkelstein, comment on Ref. [5], Phys. Rev. A 47, 2412 (1993); see also the reply by G.J. Milburn, ibid. 47, 2415 (1993).
12. J. Finkelstein, comment on Ref. [5], Phys. Rev. A 47, 2412 (1993); see also the reply by G.J. Milburn, ibid. 47, 2415 (1993).
13. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
14. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
15. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
16. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
17. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
18. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
19. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
20. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
21. D. Bedford and D. Wang, Nuovo Cimento Soc. Ital. Fis., B 26, 313 (1975); 37, 55 (1977); I.C. Percival, Proc. R. Soc. London, Ser. A 451, 503 (1995); L.P. Hughston, ibid. 452, 953 (1996); S.L. Adler and L.P. Horwitz, J. Math. Phys. 41, 2485 (2000); S.L. Adler, D.C. Brody, T.A. Brun, and L.P. Hughston, J. Phys. A 34, 8795 (2001); S.L. Adler and T.A. Brun, ibid. 34, 4797 (2001); S.L. Adler, ibid. 35, 841 (2002); Phys. Rev. D 67, 025007 (2003).
22. R. Bonifacio, Nuovo Cimento Soc. Ital. Fis., B 114, 473 (1999); R. Bonifacio, S. Olivares, P. Tombesi, and D. Vitali, Phys. Rev. A 61, 053802 (2000).
23. R. Bonifacio, Nuovo Cimento Soc. Ital. Fis., B 114, 473 (1999); R. Bonifacio, S. Olivares, P. Tombesi, and D. Vitali, Phys. Rev. A 61, 053802 (2000).
24. P. Pearle, Phys. Rev. A 69, 042106 (2004).
25. D.A. Kokorowski, A.D. Cronin, T.D. Roberts, and D.E. Pritchard, Phys. Rev. Lett. 86, 2191 (2001).
26. L. Hackermüller, K. Hornberger, B. Brezger, A. Zeilinger, and M. Arndt, Nature (London) 427, 711 (2004).
27. U. Dorner, P. Fedichev, D. Jaksch, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. 91, 073601 (2003).
28. B.C. Young, F.C. Cruz, W.M. Itano, and J.C. Bergquist, Phys. Rev. Lett. 82, 3799 (1999).
29. See http://www.ligo.caltech.edu, http://www.virgo.infn.it, and http://www.geo600.uni-hannover.de.
30. See http://lisa.jpl.nasa.gov and http://www.srl.caltech.edu/lisa/pubs. html.
31. J.I. Cirac, M. Lewenstein, K. Molmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998); J. Ruostekoski, M.J. Collett, R. Graham, and D.F. Walls, ibid. 57, 511 (1998); D. Gordon and C.M. Savage, ibid. 59, 4623 (1999); K. Molmer and A. Sorensen, Phys. Rev. Lett. 82, 1835 (1999).
32. J.I. Cirac, M. Lewenstein, K. Molmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998); J. Ruostekoski, M.J. Collett, R. Graham, and D.F. Walls, ibid. 57, 511 (1998); D. Gordon and C.M. Savage, ibid. 59, 4623 (1999); K. Molmer and A. Sorensen, Phys. Rev. Lett. 82, 1835 (1999).
33. J.I. Cirac, M. Lewenstein, K. Molmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998); J. Ruostekoski, M.J. Collett, R. Graham, and D.F. Walls, ibid. 57, 511 (1998); D. Gordon and C.M. Savage, ibid. 59, 4623 (1999); K. Molmer and A. Sorensen, Phys. Rev. Lett. 82, 1835 (1999).
34. J.I. Cirac, M. Lewenstein, K. Molmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998); J. Ruostekoski, M.J. Collett, R. Graham, and D.F. Walls, ibid. 57, 511 (1998); D. Gordon and C.M. Savage, ibid. 59, 4623 (1999); K. Molmer and A. Sorensen, Phys. Rev. Lett. 82, 1835 (1999).
35. A. Micheli, D. Jaksch, J.I. Cirac, and P. Zoller, Phys. Rev. A 67, 013607 (2003).
36. V. Kokoouline, R. Santra, and C.H. Greene, Phys. Rev. Lett. 90, 253201 (2003).
37. M.D. Barrett, J.A. Sauer, and M.S. Chapman, Phys. Rev. Lett. 87, 010404 (2001).
38. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958); S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); T. Calarco, U. Dorner, P. Julienne, C. Williams, and P. Zoller, quant-ph/0403197. M. Theis, et al., Phys. Rev. Lett. 93, 123001 (2004).
39. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958); S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); T. Calarco, U. Dorner, P. Julienne, C. Williams, and P. Zoller, quant-ph/0403197. M. Theis, et al., Phys. Rev. Lett. 93, 123001 (2004).
40. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958); S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); T. Calarco, U. Dorner, P. Julienne, C. Williams, and P. Zoller, quant-ph/0403197. M. Theis, et al., Phys. Rev. Lett. 93, 123001 (2004).
41. H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958); S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998); T. Calarco, U. Dorner, P. Julienne, C. Williams, and P. Zoller, quant-ph/0403197. M. Theis, et al., Phys. Rev. Lett. 93, 123001 (2004).
42. See M. Takamoto and H. Katori, Phys. Rev. Lett. 91, 223001 (2003); G. Ferrari et al., ibid. 91, 243002 (2003); I. Courtillot et al., Phys. Rev. A 68, 030501 (2003).
43. See M. Takamoto and H. Katori, Phys. Rev. Lett. 91, 223001 (2003); G. Ferrari et al., ibid. 91, 243002 (2003); I. Courtillot et al., Phys. Rev. A 68, 030501 (2003).
44. See M. Takamoto and H. Katori, Phys. Rev. Lett. 91, 223001 (2003); G. Ferrari et al., ibid. 91, 243002 (2003); I. Courtillot et al., Phys. Rev. A 68, 030501 (2003).
45. E.A. Burt, R.W. Ghrist, C.J. Myatt, M.J. Holland, E.A. Cornell, and C.E. Wieman, Phys. Rev. Lett. 79, 337 (1997); A. Görlitz et al., ibid. 90, 090401 (2003).
46. E.A. Burt, R.W. Ghrist, C.J. Myatt, M.J. Holland, E.A. Cornell, and C.E. Wieman, Phys. Rev. Lett. 79, 337 (1997); A. Görlitz et al., ibid. 90, 090401 (2003).
47. E. Tiesinga, S. Kotochigova, and P.S. Julienne, Phys. Rev. A 65, 042722 (2002); B. Bussery-Honvault, J.-M. Launay, and R. Moszynski, ibid. 68, 032718 (2003).
48. E. Tiesinga, S. Kotochigova, and P.S. Julienne, Phys. Rev. A 65, 042722 (2002); B. Bussery-Honvault, J.-M. Launay, and R. Moszynski, ibid. 68, 032718 (2003).