Quantum nonequilibrium equalities with absolute irreversibility

New Journal of Physics

Volumn 17, Issue 7, 2015, Pages

  Funo, Ken ^a   Murashita, Yûto ^a   Ueda, Masahito ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b RIKEN Center for Emergent Matter Science   (Japan)

Author keywords

feedback control; fluctuation theorems; free expansion; information thermodynamics

Indexed keywords

ENTROPY; FEEDBACK CONTROL; QUANTUM COMPUTERS; QUANTUM THEORY; STATISTICAL MECHANICS; THERMODYNAMICS;

DENSITY MATRIX; ENTROPY REDUCTION; FLUCTUATION THEOREMS; INITIAL DENSITY; IRREVERSIBLE PROCESS; MEASUREMENT AND FEEDBACKS; NON EQUILIBRIUM; POST-MEASUREMENT;

FEEDBACK;

EID: 84939177488     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/17/7/075005     Document Type: Article

References (58)

1. Evans D J, Cohen E G D and Morriss G P 1993 Phys. Rev. Lett. 71 2401-4
2. Gallavotti G and Cohen E G D 1995 Phys. Rev. Lett. 74 2694-7
3. Crooks G E 1999 Phys. Rev. E 60 2721-6
4. Jarzynski C 1997 Phys. Rev. Lett. 78 2690
5. Jarzynski C 1997 Phys. Rev. E 56 5018
6. Seifert U 2005 Phys. Rev. Lett. 95 040602
7. Evans D J and Searles D J 2002 Adv. Phys. 51 1529
8. Seifert U 2012 Rep. Prog. Phys. 75 126001
9. Schuler S, Speck T, Tietz C, Wrachtrup J and Seifert U 2012 Phys. Rev. Lett. 94 180602
10. Tietz C, Schuler S, Speck T, Seifert U and Wrachtrup J 2006 Phys. Rev. Lett. 97 050602
11. Hatano T and Sasa S 2001 Phys. Rev. Lett. 86 3463
12. Trepagnier E H, Jarzynski C, Ritort F, Crooks G E, Bustamante C J and Liphardt J 2004 Proc. Natl Acad. Sci. USA 101 15038
13. Tasaki H 1999 arXiv: cond-mat/0009244
14. Kurchan J 2000 arXiv: cond-mat/0007360
15. Esposito M, Harbola U and Mukamel S 2009 Rev. Mod. Phys. 81 1665
16. Monnai T 2005 Phys. Rev. E 72 027102
17. Talkner P, Lutz E and Hänggi P 2007 Phys. Rev. E 75 050102
18. Talkner P and Hänggi P 2007 J. Phys. A: Math. Theor. 40 F569
19. Campisi M, Talkner P and Hänggi P 2009 Phys. Rev. Lett. 102 210401
20. Campisi M, Talkner P and Hänggi P 2010 Phys. Rev. Lett. 105 140601
21. Campisi M, Hänggi P and Talkner P 2011 Rev. Mod. Phys. 83 771
22. Horowitz J M 2012 Phys. Rev. E 85 031110
23. Horowitz J M and Parrondo J M 2013 New J. Phys. 15 085028
24. Chetrite R and Malick K 2012 J. Stat. Phys. 148 480-501
25. Subasi Y and Hu B L 2012 Phys. Rev. E 85 011112
26. Talkner P, Campisi M and Hänggi P 2009 J. Stat. Mech. 2009 P02025
27. Crooks G E 2008 J. Stat. Mech. 2008 P10023
28. Sagawa T and Ueda M 2010 Phys. Rev. Lett. 104 090602
29. Sagawa T and Ueda M 2012 Phys. Rev. Lett. 109 180602
30. Sagawa T 2013 Thermodynamics of Information Processing in Small Systems (Berlin: Springer)
31. Morikuni M and Tasaki H 2011 J. Stat. Phys. 143 1
32. Funo K, Watanabe Y and Ueda M 2013 Phys. Rev. E 88 052121
33. Collin D, Ritort F, Jarzynski C, Smith S B, Tinoco I Jr. and Bustamante C 2005 Nature 437 231-4
34. Liphardt J, Dumont S, Smith S B, Tinoco I Jr. and Bustamante C 2002 Science 296 1832
35. An S, Zhang J, Um M, Lv D, Lu Y, Zhang J, Yin Z, Quan H T and Kim K 2015 Nat. Phys. 11 193
36. Maxwell J C 1871 Theory of Heat (London: Appleton)
37. Toyabe S, Sagawa T, Ueda M, Muneyuki E and Sano M 2010 Nat. Phys. 6 988
38. Sung J 2005 arXiv: cond-mat/0506214
39. Lua R C and Grosberg A Y 2005 J. Phys. Chem. B 109 6805
40. Gross D H E 2005 arXiv: cond-mat/0508721
41. Jarzynski C 2005 arXiv: cond-mat/0509344
42. Gross D H E 2005 arXiv: cond-mat/0509648
43. Quan H T and Jarzynski C 2012 Phys. Rev. E 85 031102
44. Dodonov V V, Klimov A B and Nikonov D E 1993 J. Math. Phys. 34 3391
45. Ashida Y, Funo K, Murashita Y and Ueda M 2014 Phys. Rev. E 90 052125
46. Murashita Y, Funo K and Ueda M 2014 Phys. Rev. E 90 042110
47. Sagawa T and Ueda M 2008 Phys. Rev. Lett. 100 080403
48. Sagawa T and Ueda M 2009 Phys. Rev. Lett. 102 250602
49. Sagawa T 2012 Lectures on Quantum Computing, Thermodynamics, and Statistical Physics ed M Nakahara and S Tanaka (Singapore: World Scientific)
50. Santos M F and Carvalho A R R 2011 Europhys. Lett. 94 64003
51. Groenewold H J 1971 Int. J. Theor. Phys. 4 327
52. Ozawa M 1986 J. Math. Phys. 27 759
53. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
54. Halmos P R 1974 Measure Theory (Berlin: Springer) 134, 182 p
55. Bartle R G 1995 The Elements of Integration and Lebesgue Measure (New York: Wiley) 88 p
56. Skrzypczyk P, Short A J and Popescu S 2013 arXiv: 1302.2811
57. Horowitz J M and Parrondo J M R 2011 Europhys. Lett. 95 10005
58. Szilard L 1929 Z. Phys. 53 840