Dissipative Landau-Zener transitions of a qubit: Bath-specific and universal behavior

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 21, 2007, Pages

  Saito, Keiji ^a,b   Wubs, Martijn ^c   Kohler, Sigmund ^c   Kayanuma, Yosuke ^d   Hänggi, Peter ^c  

^a UNIVERSITY OF TOKYO   (Japan)

^b Japan Science and Technology Agency   (Japan)

^c UNIVERSITY OF AUGSBURG   (Germany)

^d Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347385205     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.214308     Document Type: Article

References (76)

1. L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli, and B. Barbara, Nature (London) NATUAS 0028-0836 10.1038/383145a0 383, 145 (1996).
2. H. De Raedt, S. Miyashita, K. Saito, D. García-Pablos, and N. García, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.11761 56, 11761 (1997).
3. W. Wernsdorfer and R. Sessoli, Science SCIEAS 0036-8075 10.1126/science.284.5411.133 284, 133 (1999).
4. W. Wernsdorfer, M. Murugesu, and G. Christou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.057208 96, 057208 (2006).
5. M. S. Child, Molecular Collision Theory (Academic, London, 1974).
6. R. J. C. Spreeuw, N. J. van Druten, M. W. Beijersbergen, E. R. Eliel, and J. P. Woerdman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.2642 65, 2642 (1990).
7. D. Bouwmeester, N. H. Dekker, F. E. v. Dorsselaer, C. A. Schrama, P. M. Visser, and J. P. Woerdman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51. 646 51, 646 (1995).
8. K. Saito and Y. Kayanuma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.201304 70, 201304 (R) (2004).
9. D. Witthaut, E. M. Graefe, and H. J. Korsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063609 73, 063609 (2006).
10. C. Zhu and H. Nakamura, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.467877 101, 10630 (1994).
11. J. Ankerhold and H. Grabert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.016803 91, 016803 (2003).
12. A. V. Shytov, D. A. Ivanov, and M. V. Feigel'man, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00343-8 36, 263 (2003).
13. A. Izmalkov, M. Grajcar, E. Il'ichev, N. Oukhanski, T. Wagner, H.-G. Meyer, W. Krech, M. H. S. Amin, A. Maassen van den Brink, and A. M. Zagoskin, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10200-6 65, 844 (2004).
14. G. Ithier, E. Collin, P. Joyez, D. Vion, D. Esteve, J. Ankerhold, and H. Grabert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.057004 94, 057004 (2005).
15. M. Wubs, K. Saito, S. Kohler, Y. Kayanuma, and P. Hänggi, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/218 7, 218 (2005).
16. S. N. Shevchenko, A. S. Kiyko, A. N. Omelyanchouk, and W. Krech, Low Temp. Phys. LTPHEG 1063-777X 10.1063/1.2001634 31, 569 (2005).
17. W. D. Oliver, Y. Yu, J. C. Lee, K. K. Berggren, L. S. Levitov, and T. P. Orlando, Science SCIEAS 0036-8075 10.1126/science.1119678 310, 1653 (2005).
18. K. Saito, M. Wubs, S. Kohler, P. Hänggi, and Y. Kayanuma, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10326-y 76, 547 (2006).
19. C. Hicke, L. F. Santos, and M. I. Dykman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012342 73, 012342 (2006).
20. M. Sillanpää, T. Lehtinen, A. Paila, Y. Makhlin, and P. Hakonen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.187002 96, 187002 (2006).
21. L. D. Landau, Phys. Z. Sowjetunion PHZSAL 0369-9811 2, 46 (1932).
22. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1932.0165 137, 696 (1932).
23. E. C. G. Stueckelberg, Helv. Phys. Acta HPACAK 0018-0238 10.1002/hlca.19220050307 5, 369 (1932).
24. E. Mayorana, Nuovo Cimento NUCIAD 0029-6341 9, 43 (1932).
25. L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.144516 65, 144516 (2002).
26. C. H. Van der Wal, F. K. Wilhelm, C. J. P. M. Harmans, and J. E. Mooij, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00261-9 31, 111 (2003).
27. R. W. Simmonds, K. M. Lang, D. A. Hite, S. Nam, D. P. Pappas, and J. M. Martinis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.077003 93, 077003 (2004).
28. K. B. Cooper, M. Steffen, R. McDermott, R. W. Simmonds, S. Oh, D. A. Hite, D. P. Pappas, and J. M. Martinis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.180401 93, 180401 (2004).
29. J. M. Martinis, K. B. Cooper, R. McDermott, M. Steffen, M. Ansmann, K. D. Osborn, K. Cicak, S. Oh, D. P. Pappas, R. W. Simmonds, and C. C. Yu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.210503 95, 210503 (2005).
30. V. B. Magalinskiǐ, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 36, 1942 (1959)
31. V. B. Magalinskiǐ, [Sov. Phys. JETP SPHJAR 0038-5646 9, 1381 (1959)].
32. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1 59, 1 (1987).
33. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.62.251 62, 251 (1990).
34. M. Grifoni and P. Hänggi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00022-2 304, 229 (1998).
35. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1998).
36. J. Shao and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5710 81, 5710 (1998).
37. N. V. Prokof'ev and P. C. E. Stamp, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/63/4/204 63, 669 (2000).
38. A. Hutton and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69. 042312 69, 042312 (2004).
39. M. Wubs, K. Saito, S. Kohler, P. Hänggi, and Y. Kayanuma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200404 97, 200404 (2006).
40. P. Ao and J. Rammer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.3004 62, 3004 (1989).
41. P. Ao and J. Rammer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43. 5397 43, 5397 (1991).
42. Y. Kayanuma and H. Nakayama, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.13099 57, 13099 (1998).
43. H. Kobayashi, N. Hatano, and S. Miyashita, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00475-0 265, 565 (1999).
44. V. L. Pokrovsky and D. Sun, arXiv:quant-ph/0702476 (unpublished).
45. Y. Kayanuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.53.108 53, 108 (1984).
46. K. Saito and Y. Kayanuma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033407 65, 033407 (2002).
47. Y. Kayanuma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.9940 47, 9940 (1993).
48. Y. Kayanuma and Y. Mizumoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.061401 62, 061401 (R) (2000).
49. S. Brundobler and V. Elser, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/5/037 26, 1211 (1993).
50. Y. N. Demkov and V. I. Osherov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 53, 1589 (1968)
51. Y. N. Demkov and V. I. Osherov, [Sov. Phys. JETP SPHJAR 0038-5646 26, 916 (1967)].
52. A. V. Shytov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052708 70, 052708 (2004).
53. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/20/003 37, 4069 (2004).
54. B. E. Dobrescu and N. A. Sinitsyn, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/5/N01 39, 1253 (2006).
55. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/5/N02 39, 1261 (2006).
56. V. N. Ostrovsky and M. V. Volkov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.060405 73, 060405 (R) (2006).
57. T. Kato, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.5.435 5, 435 (1950).
58. N. A. Sinitsyn, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/44/016 37, 10691 (2004).
59. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/7/011 38, 907 (2005).
60. E. Shimshoni and Y. Gefen, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(91)90275-D 210, 16 (1991).
61. A. T. S. Wan, M. H. S. Amin, and S. Wang, arXiv:cond-mat/0703085 (unpublished).
62. A. Lupascu, E. F. C. Driessen, L. Roschier, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.127003 96, 127003 (2006).
63. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
64. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature (London) NATUAS 0028-0836 10.1038/nature02831 431, 159 (2004).
65. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062320 69, 062320 (2004).
66. R. Kleiner, D. Koelle, F. Ludwig, and J. Clarke, Proc. IEEE IEEPAD 0018-9219 10.1109/JPROC.2004.833655 92, 1534 (2004).
67. M. Wubs and A. Lagendijk, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046612 65, 046612 (2002).
68. P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. L. Vanmaeckelberg, and W. L. Vos, Nature (London) NATUAS 0028-0836 10.1038/nature02772 430, 654 (2004).
69. S. Ogawa, M. Imada, S. Yoshimoto, M. Okano, and S. Noda, Science SCIEAS 0036-8075 10.1126/science.1097968 305, 227 (2004).
70. K. Saito, S. Miyashita, and H. De Raedt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.14553 60, 14553 (1999).
71. M. N. Leuenberger and D. Loss, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.12200 61, 12200 (2000).
72. M. Grajcar, A. Izmalkov, S. H. W. van der Ploeg, S. Linzen, T. Plecenik, T. Wagner, U. Hübner, E. Il'ichev, H.-G. Meyer, A. Y. Smirnov, P. J. Love, A. Maassen van den Brink, M. H. S. Amin, S. Uchaikin, and A. M. Zagoskin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.047006 96, 047006 (2006).
73. A. M. Zagoskin, S. Ashhab, J. R. Johansson, and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.077001 97, 077001 (2006).
74. V. M. Akulin and W. P. Schleich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4110 46, 4110 (1992).
75. R. Schilling, M. Vogelsberger, and D. A. Garanin, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/44/008 39, 13727 (2006).
76. M. V. Volkov and V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022105 75, 022105 (2007).