Landau-Zener tunnelling in dissipative circuit QED

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Zueco, David ^a   Hänggi, Peter ^a   Kohler, Sigmund ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; PHASE SPACE METHODS;

ANALYTICAL SOLUTIONS; DENSITY OPERATORS; DISSIPATIVE CIRCUITS; HARMONIC OSCILLATORS; LOW TEMPERATURES; MASTER EQUATIONS; NUMERICAL IMPLEMENTATIONS; NUMERICAL RESULTS; REDFIELD THEORIES; TRANSITION PROBABILITIES; TRANSMISSION LINES; ZERO TEMPERATURES;

PROBABILITY;

EID: 57249084581     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/11/115012     Document Type: Article

References (65)

1. Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786
2. Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D and Devoret M H 2002 Science 296 886
3. Chiorescu I, Nakamura Y, Harmans C J P and Mooij J E 2003 Science 299 1869
4. Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M and Schoelkopf R J 2004 Nature 431 162
5. Biais A, Huang R S, Wallraff A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320
6. Grajcar M et al 2004 Phys. Rev. B 69 060501
7. Sillanpää M A, Lehtinen T, Paila A, Makhlin Y, Roschier L and Hakonen P J 2005 Phys. Rev. Lett. 95 206806
8. Chiorescu I, Bertet P, Semba K, Nakamura Y, Harmans C J P M and Mooij J E 2004 Nature 431 159
9. Raimond J M, Brune M and Haroche S 2001 Rev. Mod. Phys. 73 565
10. Walther H, Varcoe B T H, Englert B G and Becker T 2006 Rep. Prog. Phys. 69 1325
11. Sillanpää M, Lehtinen T, Paila A, Makhlin Y and Hakonen P 2006 Phys. Rev. Lett. 96 187002
12. Duty T, Johansson G, Bladh K, Gunnarsson D, Wilson C and Delsing P 2005 Phys. Rev. Lett. 95 206807
13. Sillanpää M A, Park J I and Simmonds R W 2007 Nature 449 438
14. Majer J et al 2007 Nature 449 443
15. Saito K, Wubs M, Kohler S, Hänggi P and Kayanuma Y 2006 Europhys. Lett. 76 22
16. Wubs M, Kohler S and Hänggi P 2007 Physica E 40 187
17. Farhi E, Goldstone J, Gutmann S, Lapan J, Lundgren A and Preda D 2001 Science 292 472
18. Landau L D 1932 Phys. Z. Sowjetunion 2 46
19. Zener C 1932 Proc. R. Soc. A 137 696
20. Stueckelberg E C G 1932 Helv. Phys. Acta 5 369
21. Wubs M, Saito K, Kohler S, Hänggi P and Kayanuma Y 2006 Phys. Rev. Lett. 97 200404
22. Saito K, Wubs M, Kohler S, Kayanuma Y and Hänggi P 2007 Phys. Rev. B 75 214308
23. Wan A T S, Amin M H S and Wang S 2007 arXiv:cond-mat/0703085
24. Gefen Y, Ben-Jacob E and Caldeira A O 1987 Phys. Rev. B 36 2770
25. Shimshoni E and Gefen Y 1991 Ann. Phys., NY 210 16
26. Ao P and Rammer J 1989 Phys. Rev. Lett. 62 3004
27. Ao P and Rammer J 1991 Phys. Rev. B 43 5397
28. Pokrovsky V L and Sun D 2007 Phys. Rev. B 76 024310
29. Kayanuma Y 1984 J. Phys. Soc. Japan 53 108
30. Saito K and Kayanuma Y 2002 Phys. Rev. A 65 033407
31. Vestgarden J I, Bergli J and Galperin Y M 2008 Phys. Rev. B 77 014514
32. Garg A, Onuchi J N and Ambegaokar V 1985 J. Chem. Phys. 83 4491
33. Ford G W, Lewis J T and O'Connell R F 1988 J. Stat. Phys. 53 439
34. Thorwart M, Hartmann L, Goychuk I and Hänggi P 2000 J. Mod. Opt. 47 2905
35. Thorwart M, Paladino E and Grifoni M 2004 Chem. Phys. 296 333
36. Wilhelm F K, Kleff S and von Delft J 2004 Chem. Phys. 296 345
37. van Kampen N G 2004 J. Stat. Phys. 115 1057
38. Ambegaokar V 2006 J. Stat. Phys. 125 1187
39. Ambegaokar V 2007 Ann. Phys. 16 319
40. Nesi F, Grifoni M and Paladino E 2007 New J. Phys. 9 316
41. Yurke B and Denker J S 1984 Phys. Rev. A 29 1419
42. Caldeira A O and Leggett A L 1983 Ann. Phys., NY 149 374
43. Hänggi P, Talkner P and Borkovec M 1990 Rev. Mod. Phys. 62 251
44. Weiss U 1998 Quantum Dissipative Systems 2nd edn (Singapore: World Scientific)
45. Hänggi P and Ingold G L 2005 Chaos 15 026105
46. Leggett A J, Chakravarty S, Dorsey A T, Fisher M P A, Garg A and Zwerger W 1987 Rev Mod. Phys. 59 1
47. Ingold G L and Nazarov Y V 1992 Charge tunneling in ultrasmall junctions NATO ASI Series B vol 294 (New York: Plenum) chapter 2
48. Redfield A G 1957 IBM J. Res. Dev. 1 19
49. Blum K 1996 Density Matrix Theory and Applications (New York: Springer)
50. Kohler S, Dittrich T and Hänggi P 1997 Phys. Rev. E 55 300
51. Hartmann L, Goychuk I, Grifoni M and Hänggi P 2000 Phys. Rev. E 61 R4687
52. Gardiner C W 1991 Quantum Noise (Springer Series in Synergetics vol 56) (Berlin: Springer)
53. Tornberg L and Johansson G 2007 J Low Temp. Phys. 146 227
54. Irish E, Gea-Banacloche J, Martin I and Schwab K C 2005 Phys. Rev. B 72 195410
55. Caldeira A O and Leggett; A J 1983 Physica A 121 587
56. Weiss U 1993 Quantum Dissipative Systems (Series in Modern Condensed Matter Physics vol 2) (Singapore: World Scientific)
57. Hillery M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
58. Risken H 1989 The Fokker-Planck Equation (Springer Series in Synergetics vol 18) 2nd edn (Berlin: Springer)
59. Garcia-Palacios J L and Zueco D 2004 J. Phys. A: Math. Gen. 37 10735
60. Coffey W T, Kalmykov Y P, Titov S V and Mulligan B P 2007 Europhys. Lett. 77 2001
61. Titulaer U M 1978 Physica A 91 321
62. Mullen K, Ben-Jacob E, Gefen Y and Schuss Z 1989 Phys. Rev. Lett. 62 2543
63. Goorden M C, Thorwart M and Grifoni M 2004 Phys. Rev. Lett. 93 267005
64. Wernsdorfer W and Sessoli R 1999 Science 284 133
65. Giraud R, Wernsdorfer W, Tkachuk A M, Mailly D and Barbara B 2001 Phys. Rev. Lett. 87 057203