Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 5, 2009, Pages

  Coffey, William T ^a   Kalmykov, Yuri P ^b   Titov, Serguey V ^c   Cleary, Liam ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITÉ DE PERPIGNAN   (France)

^c INST OF RADIO ENG AND ELECTRONICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61549137175     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.054507     Document Type: Article

References (67)

1. E. P. Wigner, Phys. Rev. 40, 749 (1932). 10.1103/PhysRev.40.749
2. J. E. Moyal, Proc. Camb. Philos. Soc. 45, 99 (1949). 10.1017/ S0305004100000487
3. S. R. de Groot and L. G. Suttorp, Foundations of Electrodynamics (North-Holland, Amsterdam, 1972).
4. M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984). 10.1016/0370-1573(84)90160-1
5. H. W. Lee, Phys. Rep. 259, 147 (1995). 10.1016/0370-1573(95)00007-4
6. W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Berlin, 2001).
7. Quantum Mechanics in Phase Space, edited by, C. K. Zachos, D. B. Fairlie, and, T. L. Curtright, (World Scientific, Singapore, 2005).
8. R. E. Wyatt, Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Springer, New York, 2005).
9. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific, Singapore, 2008).
10. G. S. Agarwal, Phys. Rev. A 4, 739 (1971). 10.1103/PhysRevA.4.739
11. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983). 10.1016/0378-4371(83)90013-4
12. Y. Tanimura and P. G. Wolynes, Phys. Rev. A 43, 4131 (1991) 10.1103/PhysRevA.43.4131
13. Y. Tanimura and P. G. Wolynes, J. Chem. Phys. 96, 8485 (1992). 10.1063/1.462301
14. D. Kohen, C. C. Marston, and D. J. Tannor, J. Chem. Phys. 107, 5236 (1997) 10.1063/1.474887
15. D. Kohen and D. J. Tannor, Adv. Chem. Phys. 111, 219 (2000). 10.1002/9780470141700.ch2
16. J. L. García-Palacios, Europhys. Lett. 65, 735 (2004) 10.1209/epl/i2003-10134-y
17. J. L. García-Palacios and D. Zueco, J. Phys. A 37, 10735 (2004). 10.1088/0305-4470/37/45/003
18. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, Phys. Chem. Chem. Phys. 9, 3361 (2007) 10.1039/b614554j
19. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, Europhys. Lett. 77, 20011 (2007) 10.1209/0295-5075/77/20011
20. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, Phys. Rev. E 75, 041117 (2007). 10.1103/PhysRevE.75.041117
21. W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, J. Chem. Phys. 127, 074502 (2007). 10.1063/1.2759486
22. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, J. Phys. A: Math. Theor. 40, F91 (2007) 10.1088/1751-8113/40/3/F02
23. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, J. Phys. A: Math. Theor. 40, 12505 (2007). 10.1088/1751-8113/40/41/N01
24. H. Risken, The Fokker-Planck Equation, 2nd ed. (Springer-Verlag, Berlin, 1989).
25. G. Barone and A. Paterno, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
26. K. K. Likharev, Dynamics of Josephson Junctions and Circuits (Gordon and Breach, New York, 1986).
27. M. Tinkham, Introduction to Superconductivity, 2nd ed. (McGraw-Hill, New York, 1996).
28. P. Fulde, L. Pietronero, W. R. Schneider, and S. Strässler, Phys. Rev. Lett. 35, 1776 (1975) 10.1103/PhysRevLett.35.1776
29. W. Dieterich, P. Fulde, and I. Peschel, Adv. Phys. 29, 527 (1980). 10.1080/00018738000101406
30. J. D. Cresser, D. Hammonds, W. H. Louisell, P. Meystre, and H. Risken, Phys. Rev. A 25, 2226 (1982) 10.1103/PhysRevA.25.2226
31. W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. Sanders, W. Schleich, and M. O. Scully, Rev. Mod. Phys. 57, 61 (1985) 10.1103/RevModPhys.57.61
32. W. T. Coffey, Yu. P. Kalmykov, and E. S. Massawe, Phys. Rev. E 48, 699 (1993). 10.1103/PhysRevE.48.699
33. A. J. Viterbi, Principles of Coherent Communication (McGraw-Hill, New York, 1966).
34. G. Grüner, A. Zawadowski, and P. M. Chaikin, Phys. Rev. Lett. 46, 511 (1981) 10.1103/PhysRevLett.46.511
35. S. G. Chung, Phys. Rev. B 29, 6977 (1984). 10.1103/PhysRevB.29.6977
36. M. Evstigneev, O. Zvyagolskaya, S. Bleil, R. Eichhorn, C. Bechinger, and P. Reimann, Phys. Rev. E 77, 041107 (2008). 10.1103/PhysRevE.77.041107
37. V. A. Shklovskij and O. V. Dobrovolskiy, Phys. Rev. B 78, 104526 (2008). 10.1103/PhysRevB.78.104526
38. V. Ambegaokar and B. I. Halperin, Phys. Rev. Lett. 22, 1364 (1969). 10.1103/PhysRevLett.22.1364
39. Yu. M. Ivanchenko and L. A. Zil'berman, Zh. Eksp. Teor. Fiz. 55, 2395 (1968)
40. Yu. M. Ivanchenko and L. A. Zil'berman, [Sov. Phys. JETP 28, 1272 (1969).
41. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation, 2nd ed. (World Scientific, Singapore, 2004), Chap..
42. W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and L. Cleary, Phys. Rev. E 78, 031114 (2008). 10.1103/PhysRevE.78.031114
43. E. P. Wigner, Z. Phys. Chem. Abt. B 19, 203 (1932).
44. S. Shapiro, Phys. Rev. Lett. 11, 80 (1963). 10.1103/PhysRevLett.11.80
45. H. Kanter and F. L. Vernon, Jr., J. Appl. Phys. 43, 3174 (1972). 10.1063/1.1661682
46. J. McDonald and J. R. Clem, Phys. Rev. B 56, 14723 (1997). 10.1103/PhysRevB.56.14723
47. Z. Zhai, P. V. Parimi, and S. Sridhar, Phys. Rev. B 59, 9573 (1999). 10.1103/PhysRevB.59.9573
48. Z. Zhai, H. Srikanth, S. Sridhar, A. Erb, E. Walker, and R. Flukinger, Physica C 282-287, 1601 (1997). 10.1016/S0921-4534(97)00884-8
49. P. P. Nguyen, D. E. Oates, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 48, 6400 (1993). 10.1103/PhysRevB.48.6400
50. B. B. Jin and R. X. Wu, J. Appl. Phys. 84, 3250 (1998). 10.1063/1.368479
51. Y. M. Habib, C. J. Lehner, D. E. Oates, L. R. Vale, R. H. Ono, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 57, 13833 (1998). 10.1103/PhysRevB.57.13833
52. D. E. Oates, P. P. Nguyen, Y. M. Habib, G. Dresselhaus, M. S. Dresselhaus, G. Koren, and E. Polturak, Appl. Phys. Lett. 68, 705 (1996). 10.1063/1.116598
53. L. M. Xie, J. Wosik, and J. C. Wolfe, Phys. Rev. B 54, 15494 (1996). 10.1103/PhysRevB.54.15494
54. W. T. Coffey, J. L. Déjardin, and Yu. P. Kalmykov, Phys. Rev. E 61, 4599 (2000). 10.1103/PhysRevE.61.4599
55. W. T. Coffey, J. L. Déjardin, and Yu. P. Kalmykov, Phys. Rev. B 62, 3480 (2000). 10.1103/PhysRevB.62.3480
56. Single Charge Tunneling, edited by, H. Grabert, and, M. H. Devoret, (Plenum Press, New York, 1992).
57. M. H. Devoret, D. Esteve, C. Urbina, J. Martinis, A. Cleland, and J. Clarke, in Quantum Tunneling in Solids, edited by, Yu. Kagan, and, A. J. Leggett, (Elsevier, Amsterdam, 1992).
58. G. L. Ingold and H. Grabert, Phys. Rev. Lett. 83, 3721 (1999) 10.1103/PhysRevLett.83.3721
59. H. Grabert, G. L. Ingold, and B. Paul, Europhys. Lett. 44, 360 (1998). 10.1209/epl/i1998-00480-8
60. L. Machura, M. Kostur, P. Talkner, J. uczka, and P. Hänggi, Phys. Rev. E 73, 031105 (2006). 10.1103/PhysRevE.73.031105
61. J. Ankerhold, Quantum Tunnelling in Complex Systems (Springer-Verlag, Berlin, 2007).
62. J. T. Anderson and A. M. Goldman, Phys. Rev. Lett. 23, 128 (1969). 10.1103/PhysRevLett.23.128
63. M. Simmonds and W. H. Parker, Phys. Rev. Lett. 24, 876 (1970). 10.1103/PhysRevLett.24.876
64. C. M. Falco, W. H. Parker, S. E. Trullinger, and P. K. Hansma, Phys. Rev. B 10, 1865 (1974). 10.1103/PhysRevB.10.1865
65. P. Joyez, D. Vion, M. Gotz, M. H. Devoret, and D. Esteve, J. Supercond. 12, 757 (1999). 10.1023/A:1007733009637
66. H. C. Brinkman, Physica 22, 29 (1956). 10.1016/S0031-8914(56)80006-2
67. R. L. Stratonovich, Conditional Markov Processes and Their Application to the Theory of Optimal Control (Elsevier, New York, 1968).