Energy flow in periodic thermodynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 89, Issue 1, 2014, Pages

  Langemeyer, Matthias ^a   Holthaus, Martin ^a  

^a UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894493929     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.012101     Document Type: Article

References (28)

1. 1 W. Kohn, J. Stat. Phys. 103, 417 (2001). JSTPBS 0022-4715 10.1023/A:1010327828445
2. 2 R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.44. 4521
3. 3 H.-P. Breuer and F. Petruccione, Phys. Rev. A 55, 3101 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.3101
4. 4 For a review, see M. Grifoni and P. Hänggi, Phys. Rep. 304, 229 (1998). PRPLCM 0370-1573 10.1016/S0370-1573(98)00022-2
5. 5 D. Vorberg, W. Wustmann, R. Ketzmerick, and A. Eckardt, Phys. Rev. Lett. 111, 240405 (2013). 0031-9007 10.1103/PhysRevLett.111.240405
6. 6 H.-P. Breuer, W. Huber, and F. Petruccione, Phys. Rev. E 61, 4883 (2000). 1063-651X 10.1103/PhysRevE.61.4883
7. 7 R. Ketzmerick and W. Wustmann, Phys. Rev. E 82, 021114 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.021114
8. 8 R. Graham and R. Hübner, Ann. Phys. (NY) 234, 300 (1994). APNYA6 0003-4916 10.1006/aphy.1994.1083
9. 9 S. Kohler, T. Dittrich, and P. Hänggi, Phys. Rev. E 55, 300 (1997). 1063-651X 10.1103/PhysRevE.55.300
10. 10 D. W. Hone, R. Ketzmerick, and W. Kohn, Phys. Rev. E 79, 051129 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.051129
11. 11 H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
12. 12 Note that master equations can be derived even when the assumptions of Lindblad theory do not hold: See C. H. Fleming and B. L. Hu, Ann. Phys. (NY) 327, 1238 (2012). APNYA6 0003-4916 10.1016/j.aop.2011.12.006
13. 13 J. H. Shirley, Phys. Rev. 138, B979 (1965). PHRVAO 0031-899X 10.1103/PhysRev.138.B979
14. 14a Ya. B. Zel'dovich, Zh. Eksp. Teor. Fiz. 51, 1492 (1966) 14b Ya. B. Zel'dovich [Sov. Phys. JETP 24, 1006 (1967)].
15. 15 H. Sambe, Phys. Rev. A 7, 2203 (1973). 0556-2791 10.1103/PhysRevA.7. 2203
16. 16 L. Bunimovich, H. R. Jauslin, J. L. Lebowitz, A. Pellegrinotti, and P. Nielaba, J. Stat. Phys. 62, 793 (1991). JSTPBS 0022-4715 10.1007/BF01017984
17. 17 M. Combescure, Ann. Phys. (NY) 185, 86 (1988). APNYA6 0003-4916 10.1016/0003-4916(88)90259-X
18. 18 J. S. Howland, in Schrödinger Operators: The Quantum Mechanical Many-Body Problem, Lecture Notes in Physics Vol. 403 (Springer, New York, 1992), p. 100.
19. 19a J. S. Howland, Ann. Inst. Henri Poincaré 49, 309 (1989); 19b J. S. Howland, Ann. Inst. Henri Poincaré 49, 325 (1989).
20. 20 A. Joye, J. Stat. Phys. 75, 929 (1994). JSTPBS 0022-4715 10.1007/BF02186751
21. 21 J. S. Howland, J. Phys. A 25, 5177 (1992). JPHAC5 0305-4470 10.1088/0305-4470/25/19/025
22. 22 See, e.g., G. Baym, Lectures on Quantum Mechanics (Benjamin/Cummings, Menlo Park, CA, 1969).
23. 23 G. Arfken, Mathematical Methods for Physicists (Academic, Orlando, FL, 1985).
24. 24 K. Husimi, Prog. Theor. Phys. 9, 381 (1953). PTPKAV 0033-068X 10.1143/ptp/9.4.381
25. 25 Edited by D. ter Haar, Problems in Quantum Mechanics (Pion, London, 1975), problem 3.19.
26. 26 H.-P. Breuer and M. Holthaus, Z. Phys. D 11, 1 (1989). ZDACE2 0178-7683 10.1007/BF01436579
27. 27 I. I. Rabi, Phys. Rev. 51, 652 (1937). PHRVAO 0031-899X 10.1103/PhysRev.51.652
28. 28 M. Holthaus and B. Just, Phys. Rev. A 49, 1950 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.49.1950