Decay of quantum accelerator modes

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 5, 2006, Pages

  Sheinman, Michael ^a   Fishman, Shmuel ^a   Guarneri, Italo ^b,c,d   Rebuzzini, Laura ^b,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF INSUBRIA   (Italy)

^c INFN SEZIONE DI PAVIA   (Italy)

^d CNISM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TUNNELING; MOLECULAR PHYSICS; NUMERICAL METHODS; PARTICLE ACCELERATORS; RESONANCE;

KAM SUBSTRUCTURES; METASTABLE STATES; QUANTITATIVE DEPENDENCE; WANNIER-STARK RESONANCES;

QUANTUM THEORY;

EID: 33646869501     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.052110     Document Type: Article

References (49)

1. A. J. Lichtenberg and A. A. Lieberman, Regular and Chaotic Motion (Springer-Verlag, New York, 1992).
2. J. U. Nckel and A. D. Stone, Nature (London) NATUAS 0028-0836 10.1038/385045a0 385, 45 (1997);
3. C. Gmachl, F. Capasso, E. E. Narimanov, J. U. Nckel, A. D. Stone, J. Faist, D. L. Sivco, and A. Y. Cho, Science SCIEAS 0036-8075 10.1126/science.280. 5369.1556 280, 1556 (1998);
4. H. E. Tureci, H. G. L. Schwefel, A. D. Stone, and E. E. Narimanov, Opt. Express OPEXFF 1094-4087 10, 752 (2002).
5. W. K. Hensinger, H. Haffner, A. Browaeys, N. R. Heckenberg, K. Helmerson, C. McKenzie, G. J. Milburn, W. D. Phillips, S. L. Rolston, H. Rubinsztein-Dunlop, and B. Upcroft, Nature (London) NATUAS 0028-0836 10.1038/35083510 412, 52 (2001);
6. D. A. Steck, W. H. Oskay, and M. G. Raizen, Science SCIEAS 0036-8075 10.1126/science.1061569 293, 274 (2001).
7. V. Averbukh, S. Osovski, and N. Moiseyev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.253201 89, 253201 (2002);
8. S. Osovski and N. Moiseyev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033603 72, 033603 (2005).
9. D. Turaev and V. Rom-Kedar, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/11/3/010 11, 575 (1998);
10. V. Rom-Kedar and D. Turaev, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00021-4 130, 187 (1999).
11. A. Kaplan, N. Friedman, M. Andersen, and N. Davidson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.274101 87, 274101 (2001);
12. M. F. Andersen, A. Kaplan, N. Friedman, and N. Davidson, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/9/315 35, 2183 (2002);
13. A. Kaplan, N. Friedman, M. F. Andersen, and N. Davidson, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.010 187, 136 (2004).
14. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(93)90109-Q 223, 43 (1993);
15. S. Tomsovic and D. Ullmo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.145 50, 145 (1994);
16. F. Leyvraz and D. Ullmo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 29/10/030 29, 2529 (1996);
17. E. Doron and S. D. Frischat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3661 75, 3661 (1995);
18. S. D. Frischat and E. Doron, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.1421 57, 1421 (1998);
19. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.1458 57, 1458 (1998).
20. A. Iomin, S. Fishman, and G. M. Zaslavsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036215 65, 036215 (2002);
21. J. D. Hanson, E. Ott, and T. M. Antonsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.819 29, 819 (1984).
22. S. Keshavamurthy, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1577313 119, 161 (2003).
23. O. Brodier, P. Schlagheck, and D. Ullmo, Ann. Phys. ANPYA2 0003-3804 10.1006/aphy.2002.6281 300, 88 (2002).
24. V. A. Podolskiy and E. E. Narimanov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.263601 91, 263601 (2003).
25. C. Eltschka and P. Schlagheck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.014101 94, 014101 (2005).
26. A. Bäcker, R. Ketzmerick, and A. G. H. Monastra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.054102 94, 054102 (2005).
27. M. K. Oberthaler, R. M. Godun, M. B. d'Arcy, G. S. Summy, and K. Burnett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4447 83, 4447 (1999);
28. R. M. Godun, M. B. d'Arcy, M. K. Oberthaler, G. S. Summy, and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.013411 62, 013411 (2000).
29. S. Fishman, I. Guarneri, and L. Rebuzzini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.084101 89, 084101 (2002);
30. S. Fishman, I. Guarneri, and L. Rebuzzini, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1022176306198 110, 911 (2003).
31. M. B. d'Arcy, G. S. Summy, S. Fishman, and I. Guarneri, Phys. Scr. PHSTBO 0031-8949 69, C25-31 (2004).
32. I. Guarneri, L. Rebuzzini, and S. Fishman, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/19/5/006 19, 1141 (2006).
33. M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00142-4 366, 103 (2002).
34. M. Glück, A. R. Kolovsky, H. J. Korsch, and N. Moiseyev, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s100530050205 4, 239 (1998).
35. D. Boyanovsky, R. Wiley, and R. Holman, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(92)90121-Q 376, 599 (1992).
36. L. S. Schulman, Techniques and Applications of Path Integration (Wiley-Interscience, New York, 1996);
37. K. Gottried and T. M. Yan, Quantum Mechanics: Fundamentals (Springer, New York, 2003);
38. A. Garg, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.19458 68, 430 (2000);
39. E. Bogomolny, private communication.
40. G. M. Zaslavsky, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(81)90127-7 80, 157 (1981).
41. D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/1/010 5, 77 (1972);
42. D. C. Herbert and R. Jones, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/4/10/023 4, 1145 (1971).
43. R. B. Shirts and W. P. Reinhardt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.443697 77, 5204 (1982).
44. N. Moiseyev, Phys. Rep. PRPLCM 0370-1573 302, 811 (1998).
45. M. Reed and B. Simon, Methods of Modern Mathematical Physics IV: Analysis of Operators (Academic, New York, 1978).
46. I. Guarneri, unpublished (2005).
47. N. Brenner and S. Fishman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3763 77, 3763 (1996);
48. N. Brenner and S. Fishman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/21/008 28, 5973 (1995);
49. C. de Oliveira, I. Guarneri, and G. Casati, Europhys. Lett. EULEEJ 0295-5075 27, 187 (1994).