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Volumn 89, Issue 4, 2014, Pages

Equivalence of two Bochkov-Kuzovlev equalities in quantum two-level systems

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[No Author keywords available]

Indexed keywords

QUANTUM CHEMISTRY;

EID: 84899745581     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.042122     Document Type: Article
Times cited : (31)

References (57)
  • 3
    • 4244208748 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.74.2694
    • G. Gallavotti and E. G. D. Cohen, Phys. Rev. Lett. 74, 2694 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.2694
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2694
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 4
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • DOI 10.1088/0305-4470/31/16/003
    • J. Kurchan, J. Phys. A 31, 3719 (1998). JPHAC5 0305-4470 10.1088/0305-4470/31/16/003 (Pubitemid 128059972)
    • (1998) Journal of Physics A: Mathematical and General , vol.31 , Issue.16 , pp. 3719-3730
    • Kurchan, J.1
  • 5
    • 0033246864 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1004589714161
    • J. L. Lebowitz and H. Spohn, J. Stat. Phys. 95, 333 (1999). JSTPBS 0022-4715 10.1023/A:1004589714161
    • (1999) J. Stat. Phys. , vol.95 , pp. 333
    • Lebowitz, J.L.1    Spohn, H.2
  • 6
    • 4243754128 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.78.2690;
    • C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997) PRLTAO 0031-9007 10.1103/PhysRevLett.78.2690;
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2690
    • Jarzynski, C.1
  • 7
    • 4244116139 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.56.5018
    • C. Jarzynski, Phys. Rev. E 56, 5018 (1997). 1063-651X 10.1103/PhysRevE.56.5018
    • (1997) Phys. Rev. e , vol.56 , pp. 5018
    • Jarzynski, C.1
  • 8
    • 0000765761 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.60.2721;
    • G. E. Crooks, Phys. Rev. E 60, 2721 (1999) 1063-651X 10.1103/PhysRevE.60. 2721;
    • (1999) Phys. Rev. e , vol.60 , pp. 2721
    • Crooks, G.E.1
  • 9
    • 0000186593 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.61.2361
    • G. E. Crooks, Phys. Rev. E 61, 2361 (2000). 1063-651X 10.1103/PhysRevE.61.2361
    • (2000) Phys. Rev. e , vol.61 , pp. 2361
    • Crooks, G.E.1
  • 10
    • 18344406027 scopus 로고    scopus 로고
    • Steady-state thermodynamics of Langevin systems
    • DOI 10.1103/PhysRevLett.86.3463
    • T. Hatano and S. I. Sasa, Phys. Rev. Lett. 86, 3463 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.3463 (Pubitemid 32416153)
    • (2001) Physical Review Letters , vol.86 , Issue.16 , pp. 3463-3466
    • Hatano, T.1    Sasa, S.2
  • 12
    • 27144483816 scopus 로고    scopus 로고
    • Entropy production along a stochastic trajectory and an integral fluctuation theorem
    • DOI 10.1103/PhysRevLett.95.040602, 040602
    • U. Seifert, Phys. Rev. Lett. 95, 040602 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.040602 (Pubitemid 41506195)
    • (2005) Physical Review Letters , vol.95 , Issue.4 , pp. 1-4
    • Seifert, U.1
  • 13
    • 23844443839 scopus 로고    scopus 로고
    • Integral fluctuation theorem for the housekeeping heat
    • DOI 10.1088/0305-4470/38/34/L03, PII S0305447005022560
    • T. Speck and U. Seifert, J. Phys. A 38, L581 (2005). JPHAC5 0305-4470 10.1088/0305-4470/38/34/L03 (Pubitemid 41168980)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.34
    • Speck, T.1    Seifert, U.2
  • 14
    • 33847255930 scopus 로고    scopus 로고
    • Dissipation: The phase-space perspective
    • DOI 10.1103/PhysRevLett.98.080602
    • R. Kawai, J. M. R. Parrondo, and C. Van den Broeck, Phys. Rev. Lett. 98, 080602 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.080602 (Pubitemid 46326134)
    • (2007) Physical Review Letters , vol.98 , Issue.8 , pp. 080602
    • Kawai, R.1    Parrondo, J.M.R.2    Van Den Broeck, C.3
  • 15
    • 77649211352 scopus 로고    scopus 로고
    • den Broeck,. PRLTAO 0031-9007 10.1103/PhysRevLett.104.090601
    • M. Esposito and C. Van den Broeck, Phys. Rev. Lett. 104, 090601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.090601
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 090601
    • Esposito, M.1    Van, C.2
  • 16
    • 0033702559 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.61.062314
    • B. Piechocinska, Phys. Rev. A 61, 062314 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.61.062314
    • (2000) Phys. Rev. A , vol.61 , pp. 062314
    • Piechocinska, B.1
  • 17
    • 84899750292 scopus 로고    scopus 로고
    • J. Kurchan, arXiv:cond-mat/0007360.
    • J. Kurchan, arXiv:cond-mat/0007360.
  • 18
    • 0034408305 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.69.2367
    • S. Yukawa, J. Phys. Soc. Jpn. 69, 2367 (2000). JUPSAU 0031-9015 10.1143/JPSJ.69.2367
    • (2000) J. Phys. Soc. Jpn. , vol.69 , pp. 2367
    • Yukawa, S.1
  • 19
    • 84899748169 scopus 로고    scopus 로고
    • H. Tasaki, arXiv:cond-mat/0009244.
    • H. Tasaki, arXiv:cond-mat/0009244.
  • 20
    • 4344714435 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.90.170604
    • S. Mukamel, Phys. Rev. Lett. 90, 170604 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.170604
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 170604
    • Mukamel, S.1
  • 21
    • 37649030819 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.69.026115
    • W. De Roeck and C. Maes, Phys. Rev. E 69, 026115 (2004). PLEEE8 1539-3755 10.1103/PhysRevE.69.026115
    • (2004) Phys. Rev. e , vol.69 , pp. 026115
    • De Roeck, W.1    Maes, C.2
  • 23
    • 34250689562 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/40/26/F08
    • P. Talkner and P. Hänggi, J. Phys. A 40, F569 (2007). 1751-8113 10.1088/1751-8113/40/26/F08
    • (2007) J. Phys. A , vol.40
    • Talkner, P.1    Hänggi, P.2
  • 24
    • 45249098944 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.100.230404
    • D. Andrieux and P. Gaspard, Phys. Rev. Lett. 100, 230404 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.230404
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 230404
    • Andrieux, D.1    Gaspard, P.2
  • 25
    • 72449167951 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.77.034101
    • G. E. Crooks, Phys. Rev. A 77, 034101 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.034101
    • (2008) Phys. Rev. A , vol.77 , pp. 034101
    • Crooks, G.E.1
  • 26
    • 72449206663 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.81.1665
    • M. Esposito, U. Harbola, and S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.1665
    • (2009) Rev. Mod. Phys. , vol.81 , pp. 1665
    • Esposito, M.1    Harbola, U.2    Mukamel, S.3
  • 27
    • 80053498127 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.107.140404
    • S. Deffner and E. Lutz, Phys. Rev. Lett. 107, 140404 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.140404
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 140404
    • Deffner, S.1    Lutz, E.2
  • 29
    • 79961124476 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.83.771
    • M. Campisi, P. Hänggi, and P. Talkner, Rev. Mod. Phys. 83, 771 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.771
    • (2011) Rev. Mod. Phys. , vol.83 , pp. 771
    • Campisi, M.1    Hänggi, P.2    Talkner, P.3
  • 30
    • 84858164703 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.85.031110
    • J. M. Horowitz, Phys. Rev. E 85, 031110 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.031110
    • (2012) Phys. Rev. e , vol.85 , pp. 031110
    • Horowitz, J.M.1
  • 32
    • 84884246311 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.111.093602
    • F. W. J. Hekking and J. P. Pekola, Phys. Rev. Lett. 111, 093602 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.093602
    • (2013) Phys. Rev. Lett. , vol.111 , pp. 093602
    • Hekking, F.W.J.1    Pekola, J.P.2
  • 33
    • 84878821698 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.110.230602
    • L. Mazzola, G. De Chiara, and M. Paternostro, Phys. Rev. Lett. 110, 230602 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.230602
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 230602
    • Mazzola, L.1    De Chiara, G.2    Paternostro, M.3
  • 37
    • 0032340582 scopus 로고    scopus 로고
    • The quantum-jump approach to dissipative dynamics in quantum optics
    • DOI 10.1103/RevModPhys.70.101
    • M. B. Plenio and P. L. Knight, Rev. Mod. Phys. 70, 101 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.101 (Pubitemid 128022010)
    • (1998) Reviews of Modern Physics , vol.70 , Issue.1 , pp. 101-144
    • Plenio, M.B.1    Knight, P.L.2
  • 39
    • 84865413121 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-012-0557-z
    • R. Chetrite and K. Mallick, J. Stat. Phys. 148, 480 (2012). JSTPBS 0022-4715 10.1007/s10955-012-0557-z
    • (2012) J. Stat. Phys. , vol.148 , pp. 480
    • Chetrite, R.1    Mallick, K.2
  • 40
    • 84863919527 scopus 로고    scopus 로고
    • (R). PLEEE8 1539-3755 10.1103/PhysRevE.86.010103
    • F. Liu, Phys. Rev. E 86, 010103 (R) (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.010103
    • (2012) Phys. Rev. e , vol.86 , pp. 010103
    • Liu, F.1
  • 42
    • 0000034571 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.102.104
    • F. Bloch, Phys. Rev. 102, 104 (1956). PHRVAO 0031-899X 10.1103/PhysRev.102.104
    • (1956) Phys. Rev. , vol.102 , pp. 104
    • Bloch, F.1
  • 46
    • 0031122857 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.55.3101
    • H. P. Breuer and F. Petruccione, Phys. Rev. A 55, 3101 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.3101
    • (1997) Phys. Rev. A , vol.55 , pp. 3101
    • Breuer, H.P.1    Petruccione, F.2
  • 47
    • 69649107910 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.70.012106
    • H. P. Breuer, Phys. Rev. A 70, 012106 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.70.012106
    • (2004) Phys. Rev. A , vol.70 , pp. 012106
    • Breuer, H.P.1
  • 50
    • 47749087787 scopus 로고    scopus 로고
    • CMPHAY 0010-3616 10.1007/s00220-008-0502-9
    • R. Chetrite and K. Gawedzki, Commun. Math. Phys. 282, 469 (2008). CMPHAY 0010-3616 10.1007/s00220-008-0502-9
    • (2008) Commun. Math. Phys. , vol.282 , pp. 469
    • Chetrite, R.1    Gawedzki, K.2
  • 51
    • 67650128156 scopus 로고    scopus 로고
    • (R). PLEEE8 1539-3755 10.1103/PhysRevE.79.060107
    • F. Liu and Z. C. Ou-Yang, Phys. Rev. E 79, 060107 (R) (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.060107
    • (2009) Phys. Rev. e , vol.79 , pp. 060107
    • Liu, F.1    Ou-Yang, Z.C.2
  • 53
    • 84899745848 scopus 로고    scopus 로고
    • F. Liu, arXiv:1210.5798v1.
    • F. Liu, arXiv:1210.5798v1.
  • 54
    • 34447545743 scopus 로고    scopus 로고
    • 10.1016/j.crhy.2007.04.010
    • C. Jarzynski, C. R. Phys. 8, 495 (2007). 10.1016/j.crhy.2007.04.010
    • (2007) C. R. Phys. , vol.8 , pp. 495
    • Jarzynski, C.1
  • 56
    • 84899768658 scopus 로고    scopus 로고
    • Hekking and Pekola should have first presented the (Equation presented)-number BKE [30]. However, they claimed that they verified the quantum Jarzynski equality. Compared with what we did in this work, they used a different and relatively complex method.
    • Hekking and Pekola should have first presented the (Equation presented)-number BKE [30]. However, they claimed that they verified the quantum Jarzynski equality. Compared with what we did in this work, they used a different and relatively complex method.
  • 57
    • 84899732002 scopus 로고    scopus 로고
    • See Supplemental Material at for the proof of Eqs. (19) and (23), the details of calculating (Equation presented) for the TSL model in Ref. [30], and the general structure of the QMMEs about which we are concerned here.
    • See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.89.042122 for the proof of Eqs. (19) and (23), the details of calculating (Equation presented) for the TSL model in Ref. [30], and the general structure of the QMMEs about which we are concerned here.


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