Current behavior of a quantum Hamiltonian ratchet in resonance

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

Volumn 75, Issue 1, 2007, Pages

  Poletti, Dario ^a   Carlo, Gabriel G ^a,b   Li, Baowen ^a,c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b DEPARTAMENTO DE FÍSICA   (Argentina)

^c NANJING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; MATHEMATICAL MODELS; MOTION CONTROL; NUMERICAL ANALYSIS; RESONANCE;

KICKING POTENTIAL; QUANTUM RESONANCE; RATCHET CURRENT; SPATIAL-TEMPORAL SYMMETRY;

QUANTUM THEORY;

EID: 33846367360     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.011102     Document Type: Article

References (28)

1. R. P. Feynmann, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1963), Vol. 1, Chap..
2. R. D. Astumian and P. Hänggi, Phys. Today PHTOAD 0031-9228 10.1016/S0370-1573(01)00081-3 55 (11), 33 (2002).
3. P. Reimann and P. Hanggi, Appl. Phys. A APAMFC 0947-8396 10.1007/s003390201331 75, 169 (2002).
4. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.69.1269 69, 1269 (1997).
5. C. Mennerat-Robilliard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.851 82, 851 (1999).
6. M. Schiavoni, L. Sanchez-Palencia, F. Renzoni, and G. Grynberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.094101 90, 094101 (2003).
7. P. H. Jones, M. Goonasekera, H. E. Saunders-Singer, and D. R. Meacher, e-print quant-ph/0309149.
8. M. Porto, M. Urbakh, and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.491 85, 491 (2000).
9. H. Schanz, M. F. Otto, R. Ketzmerick, and T. Dittrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.070601 87, 070601 (2001).
10. T. S. Monteiro, P. A. Dando, N. A. C. Hutchings, and M. R. Isherwood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.194102 89, 194102 (2002).
11. T. Jonckheere, M. R. Isherwood, and T. S. Monteiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.253003 91, 253003 (2003).
12. T. Cheon, P. Exner, and P. Šeba, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.72.1087 72, 1087 (2003).
13. J. Gong and P. Brumer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70. 016202 70, 016202 (2004);
14. e-print quant-ph/0609036.
15. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2358 84, 2358 (2000).
16. G. G. Carlo, G. Benenti, G. Casati, and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.164101 94, 164101 (2005).
17. R. Bartussek, P. Hänggi, and J. G. Kissner, Europhys. Lett. EULEEJ 0295-5075 28, 459 (1994);
18. P. Hänggi and R. Bartussek, Nonlinear Physics of Complex Systems, edited by, J. Parisi, S. C. Müller, and, W. Zimmermann, Lecture Notes in Physics Vol. 476, (Springer, Berlin, 1996), pp. 294-308.
19. P. Jung, J. G. Kissner, and P. Hanggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3436 76, 3436 (1996);
20. J. L. Mateos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84. 258 84, 258 (2000).
21. M. Barbi and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.1988 62, 1988 (2000).
22. D. Dan, M. C. Mahato, and A. M. Jayannavar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.056307 63, 056307 (2001).
23. P. Reimann, M. Grifoni, and P. Hanggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.10 79, 10 (1997).
24. E. Lundh and M. Wallin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.110603 94, 110603 (2005).
25. F. M. Izrailev and D. L. Shepelyanskii, Theor. Math. Phys. TMPHAH 0040-5779 10.1007/BF01029131 43, 553 (1980).
26. G. Ritt, C. Geckeler, T. Salger, G. Cennini, and M. Weitz, e-print cond-mat/0512018.
27. N. A. C. Hutchings, M. R. Isherwood, T. Jonckheere, and T. S. Monteiro1, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036205 70, 036205 (2004).
28. S. Wimberger, I. Guarneri, and S. Fishman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.084102 92, 084102 (2004).