Nonequilibrium work equalities in isolated quantum systems

Chinese Physics B

Volumn 23, Issue 7, 2014, Pages

  Liu, Fei ^a   Ouyang, Zhong Can ^b  

^a BEIHANG UNIVERSITY   (China)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

nonequilibrium isolated quantum systems; probability density function of quantum work; quantum Feynman Kac formula; work equality

Indexed keywords

PROBABILITY DENSITY FUNCTION; QUANTUM ELECTRONICS; QUANTUM OPTICS;

CHARACTERISTIC FUNCTIONS; CLASSICAL COUNTERPART; COMPLEX QUANTUM SYSTEMS; EXPERIMENTAL VERIFICATION; FEYNMAN-KAC FORMULA; FLUCTUATION RELATIONS; QUANTUM SYSTEM; WORK EQUALITY;

HAMILTONIANS;

EID: 84903700925     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/23/7/070512     Document Type: Review

References (119)

1. Callen H B 1985 Thermodynamics and an Introduction to Thermo-statistics (2nd edn.) (New York: John Wiley & Sons, Inc.)
2. Jarzynski C 1997 Phys. Rev. Lett. 78 2690
3. Jarzynski C 1997 Phys. Rev. E 56 5018
4. Liphardt L, Dumont S, Smith S B, Jr Tinoco I and Bustamante C 2002 Science 296 1832 (Pubitemid 34596263)
5. Collin D, Ritort F, Jarzynski C, Smith S B, Jr Tinoco I and Bustamante C 2005 Nature 437 231 (Pubitemid 41294482)
6. Douarche F, Ciliberto S and Petrosyan A 2005 J. Stat. Mech.: Theory Exp. P09011
7. Bochkov G N and Kuzovlev Yu E 1977 Sov. Phys. JETP 45 125
8. Bochkov G N and Kuzovlev Yu E 1977 Zh. Eksp. Teor. Fiz. 72 238
9. Bochkov G N and Kuzovlev Yu E 1981 Physica A 106 443
10. Bochkov G N and Kuzovlev Yu E 1981 Physica A 106 480
11. Callen H B and Welton T A 1951 Phys. Rev. 83 34
12. Green M S 1952 J. Chem. Phys. 20 1281
13. Kubo R 1966 Rep. Prog. Phys. 29 255
14. Jarzynski C 2007 C. R. Phys. 8 495
15. Horowitz J and Jazynski C 2007 J. Stat. Mech.: Theory Exp. P11002
16. Evans D J, Cohen E G D and Morriss G P 1993 Phys. Rev. Lett. 71 2401
17. Evans D J and Searles D J 1994 Phys. Rev. E 50 1645
18. Gallavotti G and Cohen E G D 1995 Phys. Rev. Lett. 74 2694
19. Gallavotti G and Cohen E G D 1995 J. Stat. Phys. 80 931
20. Kurchan J 1998 J. Phys. A: Math. Gen. 31 3719
21. Lebowitz J L and Spohn H 1999 J. Stat. Phys. 95 333
22. Crooks G E 1999 Phys. Rev. E 60 2721
23. Crooks G E 2000 Phys. Rev. E 61 2361
24. Hummer G and Szabo A 2001 Proc. Natl. Acad. Sci. USA 98 3658 (Pubitemid 32249826)
25. Hatano T and Sasa S I 2001 Phys. Rev. Lett. 86 3463 (Pubitemid 32416153)
26. Maes C 1999 J. Stat. Phys. 95 367
27. Jarzynski C 2004 J. Stat. Mech.: Theory Exp. P09005
28. Seifert U 2005 Phys. Rev. Lett. 95 040602 (Pubitemid 41506195)
29. Speck T and Seifert U 2005 J. Phys. A: Math. Gen. 38 L581
30. Kawai R, Parrondo J M R and van den Broeck C 2007 Phys. Rev. Lett. 98 080602 (Pubitemid 46326134)
31. Esposito M and van den Broeck C 2010 Phys. Rev. Lett. 104 090601
32. Sagawa T and Ueda M 2010 Phys. Rev. Lett. 104 090602
33. Ritort F 2008 Adv. Chem. Phys. 137 31
34. Hänggi P and Marchesoni F 2009 Rev. Mod. Phys. 81 387
35. Bustamante C, Liphardt J and Ritort F 2005 Phys. Today 58 43
36. Liu Q, Tang C and Ouyang Q 2010 Chin. Phys. B 19 040202
37. Piechocinska B 2000 Phys. Rev. A 61 062314
38. Kurchan J 2000 arXiv:cond-mat/0007360
39. Tasaki H 2000 arXiv:cond-mat/0009244
40. Yukawa S 2000 J. Phys. Soc. Jpn. 69 2367
41. Mukamel S 2003 Phys. Rev. Lett. 90 170604
42. Jarzynski C and Wojcik D K 2004 Phys. Rev. Lett. 92 230602
43. De Roeck W and Maes C 2004 Phys. Rev. E 69 026115
44. De Roeck W 2007 C. R. Phys. 8 674
45. De Roeck W and Maes C 2006 Rev. Math. Phys. 18 619 (Pubitemid 44412740)
46. Derezinski J, De Roeck W and Maes C 2008 J. Stat. Phys. 131 341
47. Talkner P, Lutz E and Hänggi P 2007 Phys. Rev. E 75 050102 (Pubitemid 47000998)
48. Talkner P and Hänggi P 2007 J. Phys. A: Math. Gen. 40 F569
49. Talkner P, Häggi P and Morillo M 2008 Phys. Rev. E 77 051131
50. Talkner P, Campisi M and Häggi P 2009 J. Stat. Mech: Theory Exp. P02025
51. Campisi M, Talkner P and Hänggi P 2009 Phys. Rev. Lett. 102 210401
52. Campisi M, Talkner P and Hänggi P 2010 Phys. Rev. Lett. 105 140601
53. Campisi M, Talkner P and Hänggi P 2011 Phil. Trans. R. Soc. A 369 291
54. Allahverdyan A E and Nieuwenhuizen T M 2005 Phys. Rev. E 71 066102 (Pubitemid 41663817)
55. Saito K and Dhar A 2007 Phys. Rev. Lett. 99 180601 (Pubitemid 350074470)
56. Saito K and Utsumi Y 2008 Phys. Rev. B 78 115429
57. Andrieux D and Gaspard P 2008 Phys. Rev. Lett. 100 230404
58. Andrieux D, Gaspard P, Monnai T and Tasaki S 2009 New J. Phys. 11 043014
59. Crooks G E 2008 Phys. Rev. A 77 034101
60. Crooks G E 2008 J. Stat. Mech: Theory Exp. P10023
61. Esposito M and Mukamel S 2006 Phys. Rev. E 73 046129 (Pubitemid 43672790)
62. Esposito M, Harbola U and Mukamel S 2009 Rev. Mod. Phys. 81 1665
63. Bunin G, D'Alessio L, Kafri Y and Polkovnikov A 2011 Nat. Phys. 7 913
64. Deffner S and Lutz E 2011 Phys. Rev. Lett. 107 140404
65. Horowitz J M 2012 Phys. Rev. E 85 031110
66. Chetrite R and Mallick K 2012 J. Stat. Phys. 148 480
67. Liu F 2012 Phys. Rev. E 86 010103(R)
68. Liu F 2012 arXiv:1210.5798 [cond-mat.stat-mech]
69. Liu F 2014 Phys. Rev. E 89 042122
70. Hekking F W J and Pekola J P 2013 Phys. Rev. Lett. 111 093602
71. Horowitz J M and Parrondo J M R 2013 New J. Phys. 15 085028
72. Albash T, Lidar D A, Marvian M and Zanardi P 2013 Phys. Rev. E 88 032146
73. Leggio B, Napoli A, Messina A and Breuer H P 2013 Phys. Rev. A 88 042111
74. Rastegin A E 2013 J. Stat. Mech.: Theory Exp. P06016
75. Venkatesh B P, Watanabe G and Talkner P 2014 New J. Phys. 16 015032
76. Evans D J and Searles D J 2002 Adv. Phys. 51 1529 (Pubitemid 35458027)
77. Sevick E M, Prabhakar R, Williams S R and Searles D J 2008 Annu. Rev. Phys. Chem. 59 603 (Pubitemid 351703399)
78. Jarzynski C 2011 Annu. Rev. Condens. Matter Phys. 2 329
79. Seifert U 2012 Rep. Prog. Phys. 75 126001
80. Marconi U M B, Puglisi A, Rondoni L and Vulpiani A 2008 Phys. Rep. 461 111
81. Campisi M, Hänggi P and Talkner P 2011 Rev. Mod. Phys. 83 771
82. Polkovnikov A, Sengupta K, Silva A and Vengalattore M 2011 Rev. Mod. Phys. 83 863
83. Batalhao T, Souza A M, Mazzola L, Auccaise R, Sarthour R S, Oliveira I S, Goold J, De Chiara G, Paternostro M and Serra R M 2013 arXiv:1212.5808 [cond-mat.stat-mech]
84. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
85. Mazzola L, De Chiara G and Paternostro M 2013 Phys. Rev. Lett. 110 230602
86. Dorner R, Clark S R, Heaney L, Fazio R, Goold J and Vedral V 2013 Phys. Rev. Lett. 110 230601
87. Campisi M, Blattmann R, Kohler S, Zueco D and Hänggi P 2013 New J. Phys. 15 105028
88. Mazzola L, De Chiara G and Paternostro M 2014 arXiv:1401.0566 [quant-ph]
89. Parrondo J M R, van den Broeck C and Kawai R 2009 New J. Phys. 11 073008
90. Chetrite R and Gawedzki K 2008 Commun. Math. Phys. 282 469
91. Vaikuntanathan S and Jarzynski C 2009 EPL 87 60005
92. Liu F and Ou-Yang Z C 2009 Phys. Rev. E 79 060107(R)
93. Liu F, Luo Y P, Huang M C and Ou-Yang Z C 2009 J. Phys. A: Math. Gen. 42 332003
94. Liu F, Tong H, Ma R and Ou-Yang Z C 2010 J. Phys. A: Math. Theor. 43 495003
95. Liu F and Hong L 2012 J. Phys. A: Math. Gen. 45 125004
96. Sakurai J I 1967 Advanced Quantum Mechanics (Reading, Mass.: Addison-Wesly Pub. Co.)
97. Feynman R P 1948 Rev. Mod. Phys. 20 367
98. Kac M 1949 Trans. Amer. Math. Soc. 65 1
99. Hummer G and Szabo A 2001 Proc. Natl. Acad. Sci. USA 98 3658 (Pubitemid 32249826)
100. Ge H and Jiang D Q 2008 J. Stat. Phys. 131 675
101. Stroock D W and Varadhan S R S 1979 Multidimensinal Diffusion Processes (New York: Springer)
102. Chaichian M and Demichev A 2001 Path Integrals in Physics: Volume I Stochastic Processes and Quantum Mechanics (Bristol: Institute of Physics Pub.)
103. Van Kampen N G 1992 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland Physics)
104. Engel A and Nolte R 2007 EPL 79 10003
105. Deffner S and Lutz E 2008 Phys. Rev. E 77 021128 (Pubitemid 351393470)
106. Talkner P, Burada P S and Hänggi P 2008 Phys. Rev. E 78 011115
107. Wineland D and Dehmelt H 2010 Eur. Phys. J. B 75 275
108. Quan H T and Jarzynski C 2012 Phys. Rev. E 85 031102
109. Imparato A and Peliti L 2005 Phys. Rev. E 72 046114 (Pubitemid 43273142)
110. Imparato A and Peliti L 2005 EPL 69 643 (Pubitemid 40306249)
111. Imparato A and Peliti L 2007 C. R. Phys. 8 556
112. Huber G, Schmidt-Kaler F, Deffner S D and Lutz E 2008 Phys. Rev. Lett. 101 070403
113. Paul W 1990 Rev. Mod. Phys. 62 531
114. Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys. 75 281 (Pubitemid 36539842)
115. Huber G, Deuschle T, Schnitzler W, Reichle R, Singer K and Schmidt-Kaler F 2008 New J. Phys. 10 013004
116. Meekhof D M, Monroe C, King B E, Itano W M and Wineland D J 1996 Phys. Rev. Lett. 76 1796
117. Dehmelt H G 1975 Bull. Am. Phys. Soc. 20 60
118. Heyl M and Kehrein S 2012 Phys. Rev. Lett. 108 190601
119. Pekola J P, Solinas P, Shnirman A and Averin D V 2013 New J. Phys. 15 115006