Semiclassical theory for decay and fragmentation processes in chaotic quantum systems

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

Volumn 79, Issue 4, 2009, Pages

  Gutiérrez, Martha ^a   Waltner, Daniel ^a   Kuipers, Jack ^a   Richter, Klaus ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EHRENFEST-TIME DEPENDENCES; FRAGMENTATION PROCESS; HEISENBERG TIME; HIGH ORDERS; INITIAL STATE; NON-LOCALIZED; PHOTOFRAGMENTATION; QUANTUM CORRECTIONS; QUANTUM DECAYS; QUANTUM SYSTEMS; SEMI-CLASSICAL APPROACHES; SEMI-CLASSICAL THEORIES; SEMICLASSICAL LIMITS; SYMPLECTIC; TIME-REVERSAL SYMMETRIES;

PHOTOLYSIS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

CHAOTIC SYSTEMS;

EID: 65549126443     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046212     Document Type: Article

References (73)

1. G. Bacher, R. Weigand, J. Seufert, V. D. Kulakovskii, N. A. Gippius, A. Forchel, K. Leonardi, and D. Hommel, Phys. Rev. Lett. 83, 4417 (1999). 10.1103/PhysRevLett.83.4417
2. R. Kumar, A. S. Vengurlekar, A. Venu Gopal, T. Mélin, F. Laruelle, B. Etienne, and J. Shah, Phys. Rev. Lett. 81, 2578 (1998). 10.1103/PhysRevLett. 81.2578
3. G. Stania and H. Walther, Phys. Rev. Lett. 95, 194101 (2005). 10.1103/PhysRevLett.95.194101
4. T. Baumert, M. Grosser, R. Thalweiser, and G. Gerber, Phys. Rev. Lett. 67, 3753 (1991). 10.1103/PhysRevLett.67.3753
5. R. Schinke, Photodissociation Dynamics (Cambridge University Press, Cambridge, England, 1993).
6. V. Milner, J. L. Hanssen, W. C. Campbell, and M. G. Raizen, Phys. Rev. Lett. 86, 1514 (2001) 10.1103/PhysRevLett.86.1514
7. N. Friedman, A. Kaplan, D. Carasso, and N. Davidson, Phys. Rev. Lett. 86, 1518 (2001). 10.1103/PhysRevLett.86.1518
8. J. U. Nöckel and A. D. Stone, Nature (London) 385, 45 (1997) 10.1038/385045a0
9. T. Harayama, P. Davis, and K. S. Ikeda, Phys. Rev. Lett. 90, 063901 (2003) 10.1103/PhysRevLett.90.063901
10. W. Fang, A. Yamilov, and H. Cao, Phys. Rev. A 72, 023815 (2005) 10.1103/PhysRevA.72.023815
11. J. Wiersig and M. Hentschel, Phys. Rev. Lett. 100, 033901 (2008). 10.1103/PhysRevLett.100.033901
12. G. Casati, G. Maspero, and D. L. Shepelyansky, Phys. Rev. E 56, R6233 (1997) 10.1103/PhysRevE.56.R6233
13. G. Casati, I. Guarneri, and G. Maspero, Phys. Rev. Lett. 84, 63 (2000) 10.1103/PhysRevLett.84.63
14. G. Casati, G. Maspero, and D. L. Shepelyansky, Phys. Rev. Lett. 82, 524 (1999). 10.1103/PhysRevLett.82.524
15. K. M. Frahm, Phys. Rev. E 56, R6237 (1997). 10.1103/PhysRevE.56.R6237
16. D. V. Savin and V. V. Sokolov, Phys. Rev. E 56, R4911 (1997) 10.1103/PhysRevE.56.R4911
17. D. V. Savin and H.-J. Sommers, Phys. Rev. E 68, 036211 (2003). 10.1103/PhysRevE.68.036211
18. M. Puhlmann, H. Schanz, T. Kottos, and T. Geisel, Europhys. Lett. 69, 313 (2005). 10.1209/epl/i2004-10347-6 (Pubitemid 40205240)
19. D. Waltner, M. Gutiérrez, A. Goussev, and K. Richter, Phys. Rev. Lett. 101, 174101 (2008). 10.1103/PhysRevLett.101.174101
20. M. Sieber and K. Richter, Phys. Scr. T90, 128 (2001) 10.1238/Physica. Topical.090a00128
21. M. Sieber, J. Phys. A 35, L613 (2002). 10.1088/0305-4470/35/42/104 (Pubitemid 37049551)
22. S. Müller, Eur. Phys. J. B 34, 305 (2003) 10.1140/epjb/e2003-00226-0
23. M. Turek and K. Richter, J. Phys. A 36, L455 (2003) 10.1088/0305-4470/36/ 30/101
24. D. Spehner, J. Phys. A 36, 7269 (2003). 10.1088/0305-4470/36/26/304 (Pubitemid 36853357)
25. S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland, Phys. Rev. Lett. 93, 014103 (2004) 10.1103/PhysRevLett.93.014103
26. S. Müller, S. Heusler, P. Braun, F. Haake, and A. Altland, Phys. Rev. E 72, 046207 (2005) 10.1103/PhysRevE.72.046207
27. S. Heusler, S. Müller, A. Altland, P. Braun, and F. Haake, Phys. Rev. Lett. 98, 044103 (2007) 10.1103/PhysRevLett.98.044103
28. S. Müller, Ph.D. thesis, Universitaet Duisburg-Essen, 2005
29. e-print arXiv:0512058v1.
30. P. W. Brouwer, S. Rahav, and C. Tian, Phys. Rev. E 74, 066208 (2006). 10.1103/PhysRevE.74.066208 (Pubitemid 46130641)
31. K. Richter and M. Sieber, Phys. Rev. Lett. 89, 206801 (2002). 10.1103/PhysRevLett.89.206801
32. Å. Adagideli, Phys. Rev. B 68, 233308 (2003). 10.1103/PhysRevB.68. 233308
33. S. Heusler, S. Müller, P. Braun, and F. Haake, Phys. Rev. Lett. 96, 066804 (2006) 10.1103/PhysRevLett.96.066804
34. S. Müller, S. Heusler, P. Braun, and F. Haake, New J. Phys. 9, 12 (2007). 10.1088/1367-2630/9/1/012 (Pubitemid 46160663)
35. P. W. Brouwer and S. Rahav, Phys. Rev. B 74, 075322 (2006). 10.1103/PhysRevB.74.075322
36. S. Rahav and P. W. Brouwer, Phys. Rev. Lett. 96, 196804 (2006). 10.1103/PhysRevLett.96.196804 (Pubitemid 43727878)
37. Ph. Jacquod and R. S. Whitney, Phys. Rev. B 73, 195115 (2006). 10.1103/PhysRevB.73.195115
38. J. Kuipers and M. Sieber, Phys. Rev. E 77, 046219 (2008). 10.1103/PhysRevE.77.046219
39. R. S. Whitney, Phys. Rev. B 75, 235404 (2007). 10.1103/PhysRevB.75.235404
40. O. Agam, Phys. Rev. E 61, 1285 (2000). 10.1103/PhysRevE.61.1285
41. B. Eckhardt, S. Fishman, and I. Varga, Phys. Rev. E 62, 7867 (2000). 10.1103/PhysRevE.62.7867
42. M. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
43. F. M. Cucchietti, H. M. Pastawski, and R. A. Jalabert, Phys. Rev. B 70, 035311 (2004). 10.1103/PhysRevB.70.035311
44. M. Sieber, J. Phys. A 32, 7679 (1999). 10.1088/0305-4470/32/44/307
45. J. Kuipers and M. Sieber, Nonlinearity 20, 909 (2007). 10.1088/0951-7715/20/4/006
46. O. Zaitsev, D. Frustaglia, and K. Richter, Phys. Rev. Lett. 94, 026809 (2005) 10.1103/PhysRevLett.94.026809
47. O. Zaitsev, D. Frustaglia, and K. Richter, Phys. Rev. B 72, 155325 (2005) 10.1103/PhysRevB.72.155325
48. O. Zaitsev and K. Richter, Mater. Sci. (Poland) 22, 469 (2004).
49. J. Bolte and D. Waltner, Phys. Rev. B 76, 075330 (2007). 10.1103/PhysRevB.76.075330
50. J. Bolte and S. Keppeler, Ann. Phys. (N.Y.) 274, 125 (1999). 10.1006/aphy.1999.5912
51. N. Argaman, Phys. Rev. Lett. 75, 2750 (1995) 10.1103/PhysRevLett.75.2750
52. N. Argaman, Phys. Rev. B 53, 7035 (1996). 10.1103/PhysRevB.53.7035
53. A result corresponding to Eq. 67 has been independently obtained [P. W. Brouwer (private communication)].
54. Photodissociation and Photoionization, edited by, K. P. Lawley, (Wiley, New York, 1995).
55. Y. V. Fyodorov and Y. Alhassid, Phys. Rev. A 58, R3375 (1998). 10.1103/PhysRevA.58.R3375
56. Y. Alhassid and Y. V. Fyodorov, J. Phys. Chem. A 102, 9577 (1998). 10.1021/jp9821836
57. Taking in Eq. (8) of Y. Alhassid, Y. V. Fyodorov, T. Gorin, W. Ihra, and B. Mehlig, Phys. Rev. A 73, 042711 (2006), the limit of no direct coupling to the continuum and t tH leads to Eq. 84. 10.1103/PhysRevA.73.042711
58. T. Ericson, Phys. Rev. Lett. 5, 430 (1960) 10.1103/PhysRevLett.5.430
59. T. Ericson, Phys. Lett. 4, 258 (1963) 10.1016/0031-9163(63)90300-7
60. T. Ericson, Ann. Phys. (N.Y.) 23, 390 (1963). 10.1016/0003-4916(63)90261- 6
61. P. von Brentano, J. Ernst, O. Häusser, T. Mayer-Kuckuk, A. Richter, and W. von Witsch, Phys. Lett. 9, 48 (1964). 10.1016/0031-9163(64)90210-0
62. B. Eckhardt and C. Jung, J. Phys. A 19, L829 (1986) 10.1088/0305-4470/19/ 14/002
63. B. Eckhardt, J. Phys. A 20, 5971 (1987) 10.1088/0305-4470/20/17/030
64. C. Jung and H. Scholz, J. Phys. A 20, 3607 (1987). 10.1088/0305-4470/20/ 12/015
65. J. Main and G. Wunner, J. Phys. B 27, 2835 (1994) 10.1088/0953-4075/27/ 13/013
66. V. V. Flambaum, A. A. Gribakina, and G. F. Gribakin, Phys. Rev. A 54, 2066 (1996). 10.1103/PhysRevA.54.2066
67. J. Madroñero and A. Buchleitner, Phys. Rev. Lett. 95, 263601 (2005). 10.1103/PhysRevLett.95.263601 (Pubitemid 43061545)
68. T. Gorin, J. Phys. A 38, 10805 (2005). 10.1088/0305-4470/38/49/020 (Pubitemid 41706118)
69. B. V. Chirikov, F. M. Izrailev, and D. L. Shepelyansky, Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 2, 209 (1981).
70. I. L. Aleiner and A. I. Larkin, Phys. Rev. B 54, 14423 (1996). 10.1103/PhysRevB.54.14423
71. O. Yevtushenko, G. Lütjering, D. Weiss, and K. Richter, Phys. Rev. Lett. 84, 542 (2000). 10.1103/PhysRevLett.84.542
72. H. Schomerus and J. Tworzydło, Phys. Rev. Lett. 93, 154102 (2004). 10.1103/PhysRevLett.93.154102
73. B. Gutkin, D. Waltner, M. Gutiérrez, J. Kuipers, and K. Richter (unpublished).