A local-time-induced unique pointer basis

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 470, Issue 2171, 2014, Pages

  Jeknic Dugic J ^a   Arsenijevic M ^b   Dugic M ^b  

^a Department of Physics Faculty of Sciences and Mathematics   (Serbia)

^b Faculty of Science   (Serbia)

Author keywords

Local time; Many body scattering; Quantum correlations; Quantum decoherence

Indexed keywords

FORMAL LOGIC; HYBRID SYSTEMS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

ENVIRONMENTAL INFLUENCES; LOCAL TIME; MANY BODY; MANY-PARTICLE SYSTEMS; OPEN QUANTUM SYSTEMS; QUANTUM COHERENCE; QUANTUM CORRELATIONS; QUANTUM DECOHERENCE;

QUANTUM THEORY;

EID: 84924767511     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2014.0283     Document Type: Article

References (48)

1. Enss V. 1978 Asymptotic completeness for quantum mechanical potential scattering I. Short-range potentials. Commun. Math. Phys. 61, 285-291. (doi:10.1007/BF01940771)
2. Enss V. 1986 Introduction to asymptotic observables for multiparticle quantum scattering. In Schrödinger Operators, Aarhus 1985, vol. 1218 (ed. E Balslev). Lecture Notes in Mathematics, pp. 61-92. Berlin, Germany: Springer.
3. Kitada H. 1991 Asymptotic completeness of N-body wave operators I. Short-range quantum systems. Rev. Math. Phys. 3, 101. (doi:10.1142/S0129055X91000047)
4. Kitada H. 1993 Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for long-range systems. In Functional analysis and related topics, 1991, vol. 1540 (ed. H Komatsu). Lecture Notes in Mathematics, pp. 149-189. Berlin, Germany: Springer.
5. Kitada H. 1994 Theory of local times. Il Nuovo Cimento 109 B, 281.
6. Kitada H, Fletcher L. 1996 Local time and the unification of physics, Part I: local time. Apeiron 3, 38.
7. Kitada H, Fletcher L. 1997 Comments on the problem of time. Preprint (http://arxiv.org/abs/gr-qc/9708055).
8. Petrat S, Tumulka R. 2014 Multi-time Schrödinger equations cannot contain interaction potentials. J. Math. Phys. 55, 032302. (doi:10.1063/1.4867524)
9. Petrat S, Tumulka R. 2014 Multi-time equations, classical and quantum. Proc. R. Soc. A 470, 20130632. (doi:10.1098/rspa.2013.0632)
10. Hartle JB. 1991 Time and prediction in quantum cosmology. In Conceptual problems of quantum gravity (eds A Ashtekar, J Stachel), pp. 172-203. Boston, MA: Birkhauser.
11. Petrat S, Tumulka R. 2014 Multi-time wave functions for quantum field theory. Ann. Phys. 345, 17-54. (doi:10.1016/j.aop.2014.03.004)
12. Wheeler JA, Zurek WH (eds). 1984 Quantum theory and measurement. Princeton NJ: Princeton University Press.
13. Schlosshauer M. 2004 Decoherence, the measurement problem, and interpretations of quantum mechanics. Rev. Mod. Phys. 76, 1267. (doi:10.1103/RevModPhys.76.1267)
14. Zurek WH. 2003 Decoherence, einselection, and the quantum origins of the classical. Rev. Mod. Phys. 75, 715. (doi:10.1103/RevModPhys.75.715)
15. Zurek WH. 1981 Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? Phys. Rev. D 24, 1516. (doi:10.1103/PhysRevD.24.1516)
16. Zurek WH. 1982 Environment-induced superselection rules. Phys. Rev. D 26, 1862.(doi:10.1103/PhysRevD.26.1862)
17. Joos E, Zeh HD, Kiefer C, Giulini DJW, Kupsch J, Stamatescu I-O. 2003 Decoherence and the appearance of a classical world in quantum theory, 2nd edn. Berlin, Germany: Springer.
18. Riedel CJ, Zurek WH, Zwolak M. 2013 The objective past of a quantum universe-Part 1: redundant records of consistent histories. Preprint (http://arxiv.org/abs/1312.0331v1).
19. Breuer H-P, Petruccione F. 2002 The theory of open quantum systems. Oxford, UK: Oxford University Press.
20. Rivas Á, Huelga SF. 2011 Open quantum systems: an introduction. Briefs in Physics. Berlin, Germany: Springer.
21. Sigal IM. 1996 Asymptotic completeness. AMS Transl. 175, 183.
22. Jekníc-Dugíc J, Arsenijevíc M, Dugíc M. 2013 Quantum structures: a view of the quantum world. Saarbrücken: LAP Lambert Academic Publishing.
23. Dugíc M, Arsenijevíc M, Jekníc-Dugíc J. 2013 Quantum correlations relativity for continuous variable systems. Sci. Chi. Phys. Mech. Astron. 56, 732.
24. Wootters WK, Zurek WH. 1982 A single quantum cannot be cloned. Nature 299, 802-803. (doi:10.1038/299802a0)
25. Nielsen MA, Chuang IL. 2000 Quantum computation and quantum information. Cambridge, UK: Cambridge University Press.
26. Margolus N, Levitin LB. 1999 The maximum speed of dynamical evolution. Physica D 120, 188-195. (doi:10.1016/S0167-2789(98)00054-2)
27. Dugić M, Ćirković MM. 2002 Quantum information processing: the case of vanishing interaction energy. Phys. Lett. A 302, 291.
28. Leggett AJ. 1980 Macroscopic quantum systems and the quantum theory of measurement. Prog. Theor. Phys. Suppl. 69, 80-100. (doi:10.1143/PTPS.69.80)
29. Audenaert KMR, Scheel S. 2007 On random unitary channels. New J. Phys. 10, 023011. (doi:10.1088/1367-2630/10/2/023011)
30. Dugíc M. 1997 On diagonalization of a composite-system observable. Separability. Phys. Scr. 56, 560.
31. Besicovitch AS. 1963 Almost periodic functions. Dover: Cambridge University Press.
32. Kac M. 1943 On the distribution of values of trigonometric sums with linearly independent frequencies. Am. J. Math. 65, 609-615. (doi:10.2307/2371869)
33. Modi K, Brodutch A, Cable H, Paterek T, Vedral V. 2012 The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655. (doi:10.1103/RevModPhys.84.1655)
34. Zwolak M, Quan HT, Zurek WH. 2009 Quantum Darwinism in a hazy environment. Phys. Rev. Lett. 103, 110402. (doi:10.1103/PhysRevLett.103.110402)
35. Zwolak M, Riedel CJ, Zurek WH. 2014 Amplification, redundancy, and the quantum chernoff information. Phys. Rev. Lett. 112, 140406. (doi:10.1103/PhysRevLett.112.140406)
36. Von Neumann J. 1955 Mathematical foundations of quantum mechanics. Princeton, NJ: Princeton University Press.
37. Dugíc M. 1998 On the investigation of separability of a bipartite system observable. J. Res. Phys. 27, 141.
38. Omnés R. 1994 The interpretation of quantum mechanics. Princeton, NJ: Princeton University Press.
39. Walls DF, Collet MJ, Milburn GJ. 1985 Analysis of a quantum measurement. Phys. Rev. D 32, 3208. (doi:10.1103/PhysRevD.32.3208)
40. Agarwal GS. 1971 Brownian motion of a quantum oscillator. Phys. Rev. A 4, 739. (doi:10.1103/PhysRevA.4.739)
41. Kofler J, Brukner Č. 2007 Classical world arising out of quantum physics under the restriction of coarse-grained measurements. Phys. Rev. Lett. 99, 180403. (doi:10.1103/PhysRevLett.99.180403)
42. Wang T, Ghobadi R, Raeisi S, Simon C. 2013 Precision requirements for observing macroscopic quantum effects. Phys. Rev. A 88, 062114. (doi:10.1103/PhysRevA.88.062114)
43. Jeong H, Lim Y, Kim MS. 2014 Coarsening measurement references and the quantum-to-classical transition. Phys. Rev. Lett. 112, 010402. (doi:10.1103/PhysRevLett.112.010402)
44. Sekatski P, Gisin N, Sangouard N. 2014 How difficult it is to prove the quantumness of macroscropic states? Preprint (http://arxiv.org/abs/1402.2542v1).
45. Gambini R, Porto RA, Pullin J. 2014 A relational solution to the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence. New J. Phys. 6, 45. (doi:10.1088/1367-2630/6/1/045)
46. Diósi L. 2014 Hybrid quantum-classical master equations. Preprint (http://arxiv.org/ abs/1401.0476).
47. Kafri D, Taylor JM, Milburn GJ. 2014 A classical channel model for gravitational decoherence. New J. Phys. 16, 065020. (doi:10.1063/1.4867524)
48. Figari R, Teta A. 2014 Quantum dynamics of a particle in a tracking chamber. Briefs in Physics. Berlin, Germany: Springer.