Erratum: General non-markovian dynamics of open quantum systems (Physical Review Letters (2012) 109 (170402) DOI: 10.1103/PhysRevLett.109.170402);General non-Markovian dynamics of open quantum systems

Physical Review Letters

Volumn 109, Issue 17, 2012, Pages

  Zhang, Wei Min ^a,b   Lo, Ping Yuan ^a   Xiong, Heng Na ^a   Tu, Matisse Wei Yuan ^a,b   Nori, Franco ^b,c  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b RIKEN   (Japan)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84868028788     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.118.059902     Document Type: Erratum

References (45)

1. H.P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
2. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2008), 3rd ed.
3. I. Buluta, S. Ashhab, and F. Nori, Rep. Prog. Phys. 74, 104401 (2011). RPPHAG 0034-4885 10.1088/0034-4885/74/10/104401
4. J.Q. You and F. Nori, Phys. Today 58, No. 11, 42 (2005); PHTOAD 0031-9228 10.1063/1.2155757
5. J.Q. You F. Nori Nature (London) 474, 589 (2011). NATUAS 0028-0836 10.1038/nature10122
6. J.H. An and W.M. Zhang, Phys. Rev. A 76, 042127 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.042127 (Pubitemid 350049857)
7. J.P. Paz and A.J. Roncaglia, Phys. Rev. Lett. 100, 220401 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.220401
8. J.P. Paz A.J. Roncaglia Phys. Rev. A 79, 032102 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.032102
9. M.M. Wolf, J. Eisert, T.S. Cubitt, and J.I. Cirac, Phys. Rev. Lett. 101, 150402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.150402
10. M.W.Y. Tu and W.M. Zhang, Phys. Rev. B 78, 235311 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.235311
11. H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401
12. E.-M. Laine, J. Piilo, and H.-P. Breuer, Phys. Rev. A 81, 062115 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.062115
13. D. Chruciński and A. Kossakowski, Phys. Rev. Lett. 104, 070406 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.070406
14. D. Chruciński, A. Kossakowski, and A. Rivas, Phys. Rev. A 83, 052128 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.052128
15. H.N. Xiong, W.M. Zhang, X. Wang, and M.H. Wu, Phys. Rev. A 82, 012105 (2010); PLRAAN 1050-2947 10.1103/PhysRevA.82.012105
16. C.U. Lei and W.M. Zhang, Phys. Rev. A 84, 052116 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.052116
17. A. Rivas, S.F. Huelga, and M.B. Plenio, Phys. Rev. Lett. 105, 050403 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.050403
18. M. Znidaric, C. Pineda, and I. Garcia-Mata, Phys. Rev. Lett. 107, 080404 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.080404
19. B.H. Liu, L. Li, Y.F. Huang, C.-F. Li, G.C. Guo, E.M. Laine, H.-P. Breuer, and J. Piilo, Nat. Phys. 7, 931 (2011). NPAHAX 1745-2473 10.1038/nphys2085
20. K.H. Madsen, S. Ates, T. Lund-Hansen, A. Löffler, S. Reitzenstein, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 106, 233601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.233601
21. J.-S. Tang, C.-F. Li, Y.-L. Li, X.-B. Zou, G.-C. Guo, H.-P. Breuer, E.-M. Laine, and J. Piilo, Europhys. Lett. 97, 10002 (2012). EULEEJ 0295-5075 10.1209/0295-5075/97/10002
22. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958); PTPKAV 0033-068X 10.1143/PTP.20.948
23. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960). JCPSA6 0021-9606 10.1063/1.1731409
24. B.L. Hu, J.P. Paz, and Y.H. Zhang, Phys. Rev. D 45, 2843 (1992). PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843
25. J.S. Jin, M.W.Y. Tu, W.M. Zhang, and Y.J. Yan, New J. Phys. 12, 083013 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/8/083013
26. C.U. Lei and W.M. Zhang, Ann. Phys. (N.Y.) 327, 1408 (2012). APNYA6 0003-4916 10.1016/j.aop.2012.02.005
27. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.170402 for a general discussion of the system-reservoir coupling Hamiltonians, a reduction from nonequilibrium to equilibrium function-dissipation theorem, and a derivation of the spectral Green's function.
28. W.M. Zhang, D.H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990). RMPHAT 0034-6861 10.1103/RevModPhys.62.867
29. R.P. Feynman and F.L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963). APNYA6 0003-4916 10.1016/0003-4916(63)90068-X
30. J. Schwinger, J. Math. Phys. (N.Y.) 2, 407 (1961); JMAPAQ 0022-2488 10.1063/1.1703727
31. L.V. Keldysh, Sov. Phys. JETP 20, 1018 (1965). SPHJAR 0038-5646
32. L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
33. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions (Wiley, New York, 1992).
34. M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, Reading, 1995), p. 214.
35. A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987). RMPHAT 0034-6861 10.1103/RevModPhys.59.1
36. Y. Meir, N.S. Wingreen, and P.A. Lee, Phys. Rev. Lett. 70, 2601 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.2601
37. B. Elattari and S.A. Gurvitz, Phys. Rev. A 62, 032102 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.032102
38. S. Welack, M. Schreiber, and U. Kleinekathoferb, J. Chem. Phys. 124, 044712 (2006). JCPSA6 0021-9606 10.1063/1.2162537 (Pubitemid 43166358)
39. J. Jin, X. Zheng, and Y.J. Yan, J. Chem. Phys.. 128, 234703 (2008). JCPSA6 0021-9606 10.1063/1.2938087
40. S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.64.2418
41. S. John and T. Quang, Phys. Rev. A 50, 1764 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.50.1764
42. A.G. Kofman, G. Kurizki, and B. Sherman, J. Mod. Opt. 41, 353 (1994); JMOPEW 0950-0340 10.1080/09500349414550381
43. A.G. Kofman and G. Kurizki, Phys. Rev. A 54, R3750 (1996). PLRAAN 1050-2947 10.1103/PhysRevA.54.R3750
44. B.M. Garraway, Phys. Rev. A 55, 2290 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.2290
45. P.Y. Lo, H.N. Xiong, and W.M. Zhang (unpublished).