Abstract
We discuss the fundamental loss of unitarity that appears in quantum mechanics when one uses physically realistic devices to measure time and space. The effect is independent of any interaction with the environment and appears in addition to any usual environmental decoherence. We discuss the conceptual and potential experimental implications of this process of decoherence.
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References
R. Gambini, R. Porto, J. Pullin, Class. Quant. Grav. 21, L51 (2004) [arXiv:gr-qc/0305098]
R. Gambini, R. Porto, J. Pullin, New J. Phys. 6, 45 (2004) [arXiv:gr-qc/0402118]
R. Gambini, R. Porto, J. Pullin, Braz. J. Phys. 35, 266 (2005) [arXiv:gr-qc/0501027]
R. Gambini, R. Porto, J. Pullin, Gen. Rel. Grav. 39, 1143 (2007) [arXiv:gr-qc/0603090]
See for instance, J. Ellis, J. Hagelin, D.V. Nanopoulos, M. Srednicki, Nucl. Phys. B241, 381 (1984); T. Banks, M.E. Peskin, L. Susskind, Nucl. Phys. B244, 125 (1984)
G.J. Milburn, Phys. Rev. A44, 5401 (1991)
I. Egusquiza, L. Garay, J. Raya, Phys. Rev. A59, 3236 (1999) [arXiv:quant-ph/9811009]
C. Kiefer, T. Singh, Phys. Rev. D44, 1061 (1991)
D.M. Meekhof, C. Monroe, B.E. King, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 76, 1796 (1996); M. Brune, F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 76, 1800 (1996); R. Bonifacio, S. Olivares, P. Tombesi, D. Vitali, Phys. Rev. A61, 053802 (2000)
E. Wigner, Rev. Mod. Phys. 29, 255 (1957)
Y.J. Ng, H. van Dam, Ann. N. Y. Acad. Sci. 755, 579 (1995) [arXiv:hep-th/9406110]; Mod. Phys. Lett. A 9, 335 (1994)
Y.J. Ng, H. van Dam, Class. Quant. Grav. 20, 393 (2003) [arXiv:gr-qc/0209021]
J.C. Baez, S.J. Olson, Class. Quant. Grav. 19, L121 (2002) [arXiv:gr-qc/0201030]
R. Gambini, R.A. Porto, J. Pullin, Phys. Rev. Lett. 93, 240401 (2004) [arXiv:hep-th/0406260]
See for instance, A. Andre, A. Sorensen, M. Lukin, Phys. Rev. Lett 92, 230801 (2004) [arXiv:quant-ph/0401130]
R. Gambini, R.A. Porto, J. Pullin, Int. J. Mod. Phys. D 15, 2181 (2006) [arXiv:gr-qc/0611148]
S. Hawking, Commun. Math. Phys. 43, 199 (1975)
See for instance, S. Giddings, L. Thorlacius, in Particle and Nuclear Astrophysics and Cosmology in the Next Millennium, ed. by E. Kolb (World Scientific, Singapore, 1996) [arXiv:astro-ph/9412046]; for more recent references see S.B. Giddings, M. Lippert, [arXiv:hep-th/0402073]; D. Gottesman, and J. Preskill, J. High Energ. Phys. 0403, 026 (2004) [arXiv:hep-th/0311269]
N. Iizuka, J. Polchinski, JHEP 0810, 028 (2008) [arXiv:0801.3657 [hep-th]]
M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2004) [arXiv:quant-ph/0312059]
R. Omnès, The interpretation of quantum mechanics, Princeton Series in Physics (Princeton, NJ, 1994)
R. Gambini and J. Pullin, Found. Phys. 37, 1074 (2007)
R. Gambini, J. Pullin, in Minkowski spacetime, a hundred years later, V. Petkov (ed.), Springer, New York (2010) [arXiv:0801.2564 [gr-qc]]
S. Lloyd, Nature. 406, 1047 (2000)
N. Margolus, L. Levitin, Physica. D120, 188 (1998)
R. Gambini, R. Porto, J. Pullin, in Gravity, Astrophysics and Strings at the Black Sea, ed. by P. Fiziev, M. Todorov (St. Kliment Ohridski Press, Sofia, 2006) [arXiv:quant-ph/0507262]
R. Bonifacio, Nuo. Cim. D114, 473 (1999)
Acknowledgements
This work was supported in part by grants NSF-PHY0650715, and by funds of the Horace C. Hearne Jr. Institute for Theoretical Physics, PEDECIBA (Uruguay), FQXi, the University of California and CCT-LSU.
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Gambini, R., Porto, R.A., Pullin, J. (2012). Fundamental Loss of Quantum Coherence from Quantum Gravity. In: Mersini-Houghton, L., Vaas, R. (eds) The Arrows of Time. Fundamental Theories of Physics, vol 172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23259-6_3
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DOI: https://doi.org/10.1007/978-3-642-23259-6_3
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