Dissipative two-level system under strong ac driving: A combination of Floquet and Van Vleck perturbation theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 2, 2010, Pages

  Hausinger, Johannes ^a   Grifoni, Milena ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

A-THERMAL; AC-DRIVING; BLOCH-REDFIELD MASTER EQUATION; COHERENT DESTRUCTION OF TUNNELING; DEPHASING RATES; DISSIPATIVE DYNAMICS; DRIVING FREQUENCIES; ENVIRONMENTAL INFLUENCES; FLOQUET; FLOQUET THEORY; HIGH FREQUENCY HF; PERTURBATION THEORY; RABI FREQUENCY; TIME-DEPENDENT HAMILTONIANS; TUNNELING MATRIX ELEMENT; TUNNELING OSCILLATIONS; TWO-LEVEL SYSTEM;

DIFFERENTIAL EQUATIONS; GENE EXPRESSION; PERTURBATION TECHNIQUES; SEEBECK EFFECT; TUNNELING (EXCAVATION); WIND TUNNELS;

SURVEYING INSTRUMENTS;

EID: 77249156877     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.022117     Document Type: Article

References (79)

1. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific, Singapore, 2008).
2. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 2004).
3. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.516 67, 516 (1991).
4. F. Grossmann, P. Jung, T. Dittrich, and P. Hänggi, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01313554 84, 315 (1991).
5. F. Grossmann and P. Hänggi, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/18/7/001 18, 571 (1992).
6. L. Hartmann, M. Grifoni, and P. Hänggi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.476863 109, 2635 (1998). (Pubitemid 128678155)
7. L. Hartmann, I. Goychuk, M. Grifoni, and P. Hänggi, Phys. Rev. E JCPSA6 1539-3755 10.1103/PhysRevE.61.R4687 61, R4687 (2000).
8. I. Goychuk and P. Hänggi, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730500429701 54, 525 (2005). (Pubitemid 43065283)
9. Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.246601 87, 246601 (2001).
10. M. Grifoni and P. Hänggi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00022-2 304, 229 (1998).
11. Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Nature (London) NATUAS 0028-0836 10.1038/19718 398, 786 (1999). (Pubitemid 29205341)
12. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
13. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science SCIEAS 0036-8075 10.1126/science.1069372 296, 886 (2002). (Pubitemid 34464889)
14. E. Collin, G. Ithier, A. Aassime, P. Joyez, D. Vion, and D. Esteve, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.157005 93, 157005 (2004).
15. J. E. Mooij, T. P. Orlando, L. Levitov, L. Tian, C. H. van der Wal, and S. Lloyd, Science SCIEAS 0036-8075 10.1126/science.285.5430.1036 285, 1036 (1999). (Pubitemid 29385947)
16. C. H. van der Wal, A. C. J. ter Haar, F. K. Wilhelm, R. N. Schouten, C. J. P. M. Harmans, T. P. Orlando, S. Lloyd, and J.E. Mooij, Science SCIEAS 0036-8075 10.1126/science.290.5492.773 290, 773 (2000). (Pubitemid 30812169)
17. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Science SCIEAS 0036-8075 10.1126/science.1081045 299, 1869 (2003). (Pubitemid 36356651)
18. 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). (Pubitemid 39243464)
19. 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).
20. L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.65.144516 65, 144516 (2002).
21. 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/e2003-00015-9 31, 111 (2003). (Pubitemid 41213037)
22. S. Kleff, S. Kehrein, and J. von Delft, Physica E 18, 343 (2003).
23. S. Kleff, S. Kehrein, and J. von Delft, Phys. Rev. B EPJBFY 1098-0121 10.1103/PhysRevB.70.014516 70, 014516 (2004).
24. F. K. Wilhelm, S. Kleff, and J. von Delft, Chem. Phys. CMPHC2 0301-0104 10.1016/j.chemphys.2003.10.010 296, 345 (2004).
25. F. Nesi, M. Grifoni, and E. Paladino, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/9/316 9, 316 (2007). (Pubitemid 47416238)
26. F. Brito and A. O. Caldeira, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/11/115014 10, 115014 (2008).
27. J. Hausinger and M. Grifoni, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/11/115015 10, 115015 (2008).
28. P. Huang and H. Zheng, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/39/395233 20, 395233 (2008).
29. S. Saito, M. Thorwart, H. Tanaka, M. Ueda, H. Nakano, K.Semba, and H. Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.037001 93, 037001 (2004).
30. S. Saito, T. Meno, M. Ueda, H. Tanaka, K. Semba, and H.Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.107001 96, 107001 (2006).
31. A. Izmalkov, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10200-6 65, 844 (2004).
32. 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). (Pubitemid 41780782)
33. D. M. Berns, W. D. Oliver, S. O. Valenzuela, A. V. Shytov, K.K. Berggren, L. S. Levitov, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150502 97, 150502 (2006). (Pubitemid 44570278)
34. 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).
35. C. M. Wilson, T. Duty, F. Persson, M. Sandberg, G. Johansson, and P. Delsing, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.257003 98, 257003 (2007). (Pubitemid 47139894)
36. D. M. Berns, M. S. Rudner, S. O. Valenzuela, K. K. Berggren, W. D. Oliver, L. S. Levitov, and T. P. Orlando, Nature (London) NATUAS 0028-0836 10.1038/nature07262 455, 51 (2008).
37. M. S. Rudner, A. V. Shytov, L. S. Levitov, D. M. Berns, W. D. Oliver, S. O. Valenzuela, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.190502 101, 190502 (2008).
38. X. Wen and Y. Yu, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79. 094529 79, 094529 (2009).
39. C. M. Wilson, G. Johansson, T. Duty, F. Persson, M. Sandberg, and P. Delsing, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.024520 81, 024520 (2010).
40. M. Baur, S. Filipp, R. Bianchetti, J. M. Fink, M. Göppl, L.Steffen, P. J. Leek, A. Blais, and A. Wallraff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.243602 102, 243602 (2009).
41. J. H. Shirley, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.138.B979 138, B979 (1965).
42. M. Grifoni, M. Sassetti, J. Stockburger, and U. Weiss, Phys. Rev. E PHRVAO 1539-3755 10.1103/PhysRevE.48.3497 48, 3497 (1993).
43. M. Grifoni, M. Sassetti, P. Hänggi, and U. Weiss, Phys. Rev. E PHRVAO 1539-3755 10.1103/PhysRevE.52.3596 52, 3596 (1995).
44. D. E. Makarov and N. Makri, Phys. Rev. E PHRVAO 1539-3755 10.1103/PhysRevE.52.5863 52, 5863 (1995).
45. M. Grifoni, M. Sassetti, and U. Weiss, Phys. Rev. E PHRVAO 1539-3755 10.1103/PhysRevE.53.R2033 53, R2033 (1996).
46. M. Winterstetter and U. Weiss, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(97)00021-9 217, 155 (1997). (Pubitemid 127065646)
47. M. Grifoni, M. Winterstetter, and U. Weiss, Phys. Rev. E CMPHC2 1539-3755 10.1103/PhysRevE.56.334 56, 334 (1997).
48. M. Grifoni, L. Hartmann, and P. Hänggi, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(97)00020-7 217, 167 (1997). (Pubitemid 127065647)
49. A. 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).
50. Y. Dakhnovskii, Phys. Rev. B RMPHAT 1098-0121 10.1103/PhysRevB.49.4649 49, 4649 (1994).
51. Y. Dakhnovskii, Ann. Phys. (NY) APNYA6 0003-4916 10.1006/aphy.1994.1021 230, 145 (1994).
52. Y. Dakhnovskii, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.467058 100, 6492 (1994).
53. Y. Dakhnovskii and R. D. Coalson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.470478 103, 2908 (1995).
54. H. Wang, V. N. Freire, and X.-G. Zhao, Phys. Rev. E JCPSA6 1539-3755 10.1103/PhysRevE.58.2632 58, 2632 (1998).
55. M. Thorwart, L. Hartmann, I. Goychuk, and P. Hänggi, J. Mod. Opt. 47, 2905 (2000).
56. M. C. Goorden and F. K. Wilhelm, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.68.012508 68, 012508 (2003).
57. H. Sambe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.2203 7, 2203 (1973).
58. J. H. Van Vleck, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.33.467 33, 467 (1929).
59. S.-K. Son, S. Han, and Shih I. Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.032301 79, 032301 (2009).
60. S. Ashhab, J. R. Johansson, A. M. Zagoskin, and F. Nori, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063414 75, 063414 (2007). (Pubitemid 47139170)
61. P. K. Aravind and J. O. Hirschfelder, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150665a002 88, 4788 (1984).
62. M. C. Goorden, M. Thorwart, and M. Grifoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.267005 93, 267005 (2004). (Pubitemid 40213750)
63. M. C. Goorden, M. Thorwart, and M. Grifoni, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00192-5 45, 405 (2005). (Pubitemid 40983148)
64. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1964).
65. B. Kirtman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1670695 49, 3890 (1968).
66. P. R. Certain and J. O. Hirschfelder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1672896 52, 5977 (1970).
67. I. Shavitt and L. T. Redmon, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.440050 73, 5711 (1980).
68. B. Kirtman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.442123 75, 798 (1981).
69. E. C. Kemble, The Fundamental Principles of Quantum Mechanics (McGraw-Hill, New York, 1937).
70. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 5th ed. (Academic, San Diego, 2001).
71. J. C. A. Barata and W. F. Wreszinski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2112 84, 2112 (2000).
72. M. Frasca, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.71.073301 71, 073301 (2005). (Pubitemid 40410790)
73. K. Blum, Density Matrix Theory and Applications, 2nd ed. (Plenum, New York, 1996).
74. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
75. S. Kohler, T. Dittrich, and P. Hänggi, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.55.300 55, 300 (1997).
76. H. Wang and X.-G. Zhao, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/7/7/002 7, L89 (1995).
77. H. Wang and X.-G. Zhao, Phys. Lett. PYLAAG 0375-9601 10.1016/0375- 9601(96)00369-6 A217, 225 (1996). (Pubitemid 126372174)
78. I. I. Rabi, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.51.652 51, 652 (1937).
79. G. F. Simmons, Introduction to Topology and Modern Analysis (McGraw-Hill, New York, 1963).