Generalized Schrieffer-Wolff formalism for dissipative systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 1, 2012, Pages

  Kessler, E M ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC ELIMINATION; ARBITRARY ORDER; DIFFERENT ORDER; DISSIPATIVE SYSTEMS; EXCITATION SPECTRUM; LIOUVILLE OPERATOR; MARKOVIAN MASTER EQUATION; PERTURBATION THEORY; PERTURBATIVE EXPANSION; STEADY STATE;

MATHEMATICAL MODELS; PHYSICS;

MECHANICS;

EID: 84864482160     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.012126     Document Type: Article

References (36)

1. J. Schrieffer and P. Wolff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.149.491 149, 491 (1966).
2. D. J. Klein, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1682018 61, 786 (1974).
3. I. Shavitt and L. T. Redmon, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.440050 73, 5711 (1980).
4. S. Bravyi, D. P. DiVincenzo, and D. Loss, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2011.06.004 326, 2793 (2011).
5. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
6. A. H. MacDonald, S. M. Girvin, and D. Yoshioka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.9753 37, 9753 (1988).
7. J. Paaske and K. Flensberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.176801 94, 176801 (2005). (Pubitemid 41492286)
8. M. Issler, E. M. Kessler, G. Giedke, S. Yelin, I. Cirac, M. D. Lukin, and A. Imamoglu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.267202 105, 267202 (2010).
9. B. Uchoa, T. G. Rappoport, and A. H. Castro Neto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.016801 106, 016801 (2011).
10. H. v. Löhneysen and P. Wölfle, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.1015 79, 1015 (2007). (Pubitemid 47364614)
11. B. M. Escher, R. L. de Matos Filho, and L. Davidovich, Nat. Phys. 1745-2473 10.1038/nphys1958 7, 406 (2011).
12. S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3865 79, 3865 (1997).
13. K. Baumann, C. Guerlin, F. Brennecke, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/nature09009 464, 1301 (2010).
14. F. Dimer, B. Estienne, A. S. Parkins, and H. J. Carmichael, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.013804 75, 013804 (2007). (Pubitemid 46130338)
15. B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.042307 78, 042307 (2008).
16. F. Verstraete, M. M. Wolf, and J. Ignacio Cirac, Nat. Phys. 1745-2473 10.1038/nphys1342 5, 633 (2009).
17. P. W. Shor, in 37th Annual Symposium on Foundations of Computer Science (IEEE Comput. Soc. Press, 1996), pp. 56-65.
18. E. M. Kessler, G. Giedke, S. F. Yelin, A. Imamoglu, M. D. Lukin, and J. I. Cirac, Phys. Rev. A 1050-2947 10.1103/PhysRevA.86.012116 86, 012116 (2012).
19. S. Morrison and A. S. Parkins, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/19/195502 41, 195502 (2008).
20. H. J. Carmichael, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/13/18/009 13, 3551 (1980).
21. N. G. van Kampen, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(85)90002- X 124, 69 (1985).
22. J. I. Cirac, R. Blatt, P. Zoller, and W. D. Phillips, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.2668 46, 2668 (1992).
23. F. Reiter and A. S. Sørensen, Phys. Rev. A 1050-2947 10.1103/PhysRevA.85.032111 85, 032111 (2012).
24. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
25. S. Bravyi, D. P. DiVincenzo, D. Loss, and B. M. Terhal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.070503 101, 070503 (2008).
26. S. P. Jordan and E. Farhi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.062329 77, 062329 (2008).
27. J. Kempe, A. Kitaev, and O. Regev, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539704445226 35, 1070 (2006). (Pubitemid 44599919)
28. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
29. F. Pastawski, L. Clemente, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.012304 83, 012304 (2011).
30. A. Rivas and S. F. Huelga, Open Quantum Systems: An Introduction (Springer, Berlin, 1999).
31. E. M. Kessler, S. Yelin, M. D. Lukin, J. I. Cirac, and G. Giedke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.143601 104, 143601 (2010).
32. P. Zoller and C. W. Gardiner, Quantum Noise (Springer, Berlin, 2004).
33. M. Lax, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.129.2342 129, 2342 (1963).
34. P. Tamarat, N. B. Manson, J. P. Harrison, R. L. McMurtrie, A. Nizovtsev, C. Santori, R. G. Beausoleil, P. Neumann, T. Gaebel, F. Jelezko, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/4/045004 10, 045004 (2008).
35. M. Atatüre, J. Dreiser, A. Badolato, A. Högele, K. Karrai, and A. Imamoglu, Science (New York, NY) SCIEAS 0036-8075 10.1126/science.1126074 312, 551 (2006).
36. S. K. Kehrein and A. Mielke, Ann. Phys. APNYA6 0003-4916 10.1006/aphy.1996.0123 252, 1 (1996). (Pubitemid 126161156)