Exact master equations for the non-Markovian decay of a qubit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Vacchini, Bassano ^a,b   Breuer, Heinz Peter ^c  

^a UNIVERSITY OF MILAN   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

^c UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; CONVERGENCE BEHAVIORS; EXACT SOLUTION; MASTER EQUATIONS; MEMORY KERNELS; MICROSCOPIC ANALYSIS; MICROSCOPIC MODELS; NON-MARKOVIAN; NONPERTURBATIVE TREATMENT; PERTURBATION EXPANSIONS; PHENOMENOLOGICAL MODELING; QUANTUM DYNAMICS; TWO-STATE SYSTEMS;

MODELS; OPEN SYSTEMS; QUANTUM THEORY;

SYSTEMS ANALYSIS;

EID: 77950480247     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.042103     Document Type: Article

References (33)

1. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, Vol. 717, 2nd ed. (Springer, Berlin, 2007).
2. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University, Oxford, 2007).
3. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific, Singapore, 2008).
4. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
5. G. Lindblad, Comm. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
6. H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022103 75, 022103 (2007).
7. H.-P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E PLRAAN 1539-3755 10.1103/PhysRevE.73.016139 73, 016139 (2006). (Pubitemid 43254425)
8. H.-P. Breuer and B. Vacchini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140402 101, 140402 (2008).
9. H.-P. Breuer and B. Vacchini, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.041147 79, 041147 (2009).
10. A. A. Budini, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.72.056106 72, 056106 (2005). (Pubitemid 41777758)
11. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053815 74, 053815 (2006). (Pubitemid 44800090)
12. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042107 69, 042107 (2004).
13. A. A. Budini and H. Schomerus, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/42/006 38, 9251 (2005). (Pubitemid 41428571)
14. D. Chruscinski and A. Kossakowski, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.104.070406 104, 070406 (2010).
15. D. Chruscinski, A. Kossakowski, and S. Pascazio, Phys. Rev. A 1050-2947 10.1103/PhysRevA.81.032101 81, 032101 (2010).
16. E. Ferraro, H.-P. Breuer, A. Napoli, M. A. Jivulescu, and A. Messina, Phys. Rev. B JPHAC5 1098-0121 10.1103/PhysRevB.78.064309 78, 064309 (2008).
17. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. JPHAC5 1230-1612 10.1142/S1230161208000122 15, 135 (2008).
18. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. JPHAC5 1230-1612 10.1142/S1230161209000190 16, 259 (2009).
19. H. Krovi, O. Oreshkov, M. Ryazanov, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052117 76, 052117 (2007). (Pubitemid 350191540)
20. J. Piilo, S. Maniscalco, K. Harkonen, and K.-A. Suominen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402 100, 180402 (2008). (Pubitemid 351654659)
21. B. Vacchini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.022112 78, 022112 (2008).
22. H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401 103, 210401 (2009).
23. A. Rivas, S. F. Huelga, and M. B. Plenio (2009), e-print arXiv: 0911.4270v1.
24. S. M. Barnett and S. Stenholm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.033808 64, 033808 (2001).
25. S. Maniscalco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062103 75, 062103 (2007). (Pubitemid 47014726)
26. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012111 73, 012111 (2006). (Pubitemid 43270069)
27. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020101 71, 020101 (R) (2005). (Pubitemid 43286575)
28. J. Wilkie and Y. M. Wong, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/42/1/015006 42, 015006 (2009).
29. S. Daffer, K. Wódkiewicz, J. D. Cresser, and J. K. McIver, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.010304 70, 010304 (R) (2004).
30. V. Weisskopf and E. Wigner, Z. Physik EPJAFV 1434-6001 10.1007/BF01336768 63, 54 (1930).
31. J. Fischer and H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052119 76, 052119 (2007). (Pubitemid 350198399)
32. S. Nakajima, Progr. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.20.948 20, 948 (1958).
33. R. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731409 33, 1338 (1960).