Directed motion in a periodic potential of a quantum system coupled to a heat bath driven by a colored noise

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Bhattacharya, Satyabrata ^a   Chaudhury, Pinaki ^b   Chattopadhyay, Sudip ^a   Chaudhuri, Jyotipratim Ray ^c  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b UNIVERSITY OF CALCUTTA   (India)

^c Katwa College   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FOKKER PLANCK EQUATION; QUANTUM ELECTRONICS; QUANTUM OPTICS; QUANTUM THEORY; WHITE NOISE;

COLORED NOISES; DIRECTED MOTION; EXTERNAL NOISE; EXTERNAL-; HEAT BATHS; LANGEVIN; MULTIPLICATIVE COLORED NOISE; MULTIPLICATIVE NOISES; NON-LINEAR COUPLINGS; PERIODIC POTENTIALS; QUANTUM CURRENTS; QUANTUM STATES; QUANTUM SYSTEMS;

MULTIUSER DETECTION;

EID: 50149106961     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.021123     Document Type: Article

References (85)

1. A. Barone and G. Paterb, Physics and Applications of the Josephson Effects (Wiley, New York, 1982).
2. H. Sakaguchi, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.79.39 79, 39 (1987).
3. J. W. M. Frenken and J. F. van der Veen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.134 54, 134 (1985).
4. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989);
5. F. Jüllicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.69.1269 69, 1269 (1997).
6. P. Reimann, C. Van der Broeck, H. Linke, P. Hanggi, J. M. Rubi, and A. Perez-Madrid, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.031104 65, 031104 (2002);
7. D. Dan and A. M. Jayannavar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041106 66, 041106 (2002).
8. S. Leiber, Nature (London) NATUAS 0028-0836 10.1038/370412a0 370, 412 (1994);
9. J. Maddox, Nature (London) NATUAS 0028-0836 10.1038/365203a0 365, 203 (1993);
10. J. Maddox, Nature (London) NATUAS 0028-0836 10.1038/368287a0 368, 287 (1994).
11. S. Chatterjee and M. Barma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.011107 73, 011107 (2006).
12. M. O. Magnasco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1477 71, 1477 (1993);
13. S. Savelev, F. Marchesoni, and F. Nori, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.011107 71, 011107 (2005).
14. J. Prost, J. F. Chauwin, L. Peliti, and A. Ajdari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2652 72, 2652 (1994);
15. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) NATUAS 0028-0836 10.1038/370446a0 370, 446 (1994).
16. M. Borromeo, G. Costantini, and F. Marchesoni, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.041110 65, 041110 (2002).
17. P. Reimann, R. Bartussek, R. Häussler, and P. Hanggi, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96)00222-8 215, 26 (1996).
18. P. Reimann and P. Hänggi, Appl. Phys. A APAMFC 0947-8396 10.1007/s003390201331 75, 169 (2002);
19. J. M. R. Parrondo and B. J. de Cisneros, Appl. Phys. A APAMFC 0947-8396 10.1007/s003390201332 75, 179 (2002);
20. H. Wang and G. Oster, Appl. Phys. A APAMFC 0947-8396 10.1007/ s003390201340 75, 315 (2002);
21. R. Lipowsky, Y. Chai, S. Klumpp, S. Liepelt and M. J. I. Müller, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.05.019 372, 34 (2006);
22. D. Chowdhury, Physica A PHYADX 0378-4371 372, 84 (2006);
23. G. I. Menon, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.05.025 372, 96 (2006).
24. J. Howard, Mechanics of Motor Proteins and the Cytoskeletons (Sinauer Associates, Sunderland, 2001).
25. P. J. Strauman, Photovoltaic and Photoreflective Effects in Nanocentrosymmetric Materials (Gordan and Breach, Philadelphia, 1992).
26. C. R. Doering, W. Horsthemke, and J. Riordan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2984 72, 2984 (1994).
27. A. Ajdari, D. Mukamel, L. Peliti, and J. Prost, J. Phys. I JPGCE8 1155-4304 (France) 14, 1551 (1994);
28. M. C. Mahato and A. M. Jayannavar, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00772-9 209, 21 (1995).
29. M. M. Millonas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74. 10 74, 10 (1995).
30. M. Büttiker, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 68, 116 (1987).
31. L. P. Faucheux and A. J. Libchaber, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.5158 49, 5158 (1994).
32. R. H. Luchsinger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.272 62, 272 (2000).
33. N. G. van Kampen, IBM J. Res. Dev. IBMJAE 0018-8646 32, 107 (1988).
34. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
35. K. Lindenberg and B. J. West, The Nonequilibrium Statistical Mechanics of Open and Closed Systems (VCH, New York, 1990).
36. K. Okumura and Y. Tanimura, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2747 56, 2747 (1997);
37. T. Kato and Y. Tanimura, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1503778 117, 6221 (2002);
38. T. Kato and Y. Tanimura, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1629272 120, 260 (2004).
39. A. Ishizaki and Y. Tanimura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.3131 74, 3131 (2005).
40. J. R. Chaudhuri, S. K. Banik, B. C. Bag, and D. S. Ray, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061111 63, 061111 (2001);
41. J. R. Chaudhuri, D. Barik, and S. K. Banik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.051101 73, 051101 (2006).
42. J. Ray Chaudhuri, S. Chattopadhya, and S. K. Banik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.021125 76, 021125 (2007);
43. J. Ray Chaudhuri, S. Chattopadhya, and S. K. Banik, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2901044 128, 154513 (2008).
44. P. Hanggi and F. Marchesoni, Chaos CHAOEH 1054-1500 10.1063/1.1895505 15, 026101 (2005), and references therein.
45. R. D. Astumian and P. Hanggi, Phys. Today PHTOAD 0031-9228 55, 33 (2002).
46. L. Machura, M. Kostur, P. Hanggi, P. Talkner, and J. Luczka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.031107 70, 031107 (2004).
47. L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hanggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.031105 73, 031105 (2006).
48. P. Hanngi and G. L. Ingold, Chaos CHAOEH 1054-1500 10.1063/1.1853631 15, 026105 (2005).
49. R. Gommers, M. Brown, and F. Renzoni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.053406 75, 053406 (2007).
50. H. Schanz, T. Dittrich, and R. Ketzmerick, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026228 71, 026228 (2005).
51. J. Gong and P. Brumer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.240602 97, 240602 (2006).
52. P. H. Jones, M. Goonasekera, D. R. Meacher, T. Jonckheere, and T. S. Monteiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.073002 98, 073002 (2007).
53. V. S. Morozov, A. W. Chao, A. D. Krisch, M. A. Krisch, M. A. Leonova, R. S. Raymond, D. W. Sivers, V. K. Wong, A. Garishvili, R. Gebel, A. Lehrach, B. Lorentz, R. Maier, D. Prashn, H. Stockhorst, D. Welsch, F. Hinterberger, K. Ulbrich, A. Schnase, E. J. Stephenson, N. P. M. Brantjes, C. J. G. Onderwater, and M. da Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 054801 100, 054801 (2008).
54. R. Landauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.12.636 12, 636 (1975).
55. R. Landauer, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01011555 53, 233 (1988).
56. J. R. Chaudhuri, D. Barik, and S. K. Banik, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/40/49/007 40, 14715 (2007).
57. E. Hershkovits and R. Hernandez, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1829252 122, 014509 (2005).
58. M. Topaler and N. Makri, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.468244 101, 7500 (1994);
59. C. H. Mak and R. Egger, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478077 110, 12 (1999).
60. K. Thompson and N. Makri, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478011 110, 1343 (1999).
61. D. Barik, D. Banerjee, and D. S. Ray, in Progress in Chemical Physis Research, edited by, A. N. Linke, (Nova Publishers, New York, 2006), Vol. 1.
62. D. Banerjee, B. C. Bag, S. K. Banik, and D. S. Ray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1711593 120, 8960 (2004);
63. D. Barik, S. K. Banik, and D. S. Ray, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1579473 119, 680 (2003).
64. G. W. Ford, M. Kac, and P. Majur, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704304 6, 504 (1965).
65. C. W. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic (Springer, Berlin, 2004).
66. E. Wingenr, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.749 40, 749 (1932).
67. N. G. van Kampen, Stochastics Process in Physics and Chemistry (North Holland, Amsterdam, 1992);
68. A. M. Jayannavar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.2957 53, 2957 (1996).
69. J. M. Sancho, M. S. Miguel, and D. Düerr, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01012607 28, 291 (1982).
70. E. A. Novikov, Sov. Phys. JETP SPHJAR 0038-5646 20, 1290 (1965).
71. N. G. van Kampen, Phys. Rep., Phys. Lett. PRPLCM 0370-1573 10.1016/0370-1573(76)90029-6 24, 171 (1976).
72. J. R. Chaudhuri and D. Barik, Eur. Phys. J. B EPJBFY 1434-6028 (to be published).
73. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963), Vol. 1.
74. S. Fekade and M. Bekele, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s10051-002-8975-3 26, 369 (2002).
75. K. Lindenberg and V. Seshadri, Physica A PHYADX 0378-4371 10.1016/0378-4371(81)90007-8 109, 483 (1981);
76. K. Lindenberg and E. Corte, Physica A PHYADX 0378-4371 10.1016/0378-4371(84)90214-0 126, 489 (1984).
77. E. Pollak and A. M. Berezhkovskii, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.465379 99, 1344 (1993).
78. F. Marchensoni, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(84) 80138-4 110, 20 (1984).
79. A. V. Barzykin and K. Seki, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1997-00433-3 40, 117 (1997);
80. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchensoni, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998).
81. M. R. Young and S. Singh, Opt. Lett. OPLEDP 0146-9592 10.1038/013021a0 13, 21 (1988);
82. Q. Long, L. Cao, D. Wu, and Z. Li, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00320-4 231, 339 (1997).
83. O. V. Gerashchenko, S. L. Ginzburg, and M. A. Pustovoit, JETP Lett. JTPLA2 0021-3640 67, 997 (1998).
84. Ya. M. Blanter and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4040 81, 4040 (1998).
85. see for example R. Krishnan, M. C. Mahato, and A. M. Jayannavar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.021102 70, 021102 (2004).