publication . Article . Preprint . 2006

Transient localization in the kicked Rydberg atom

Emil Persson; Sebastian Fürthauer; Sandro Wimberger; Joachim Burgdörfer;
Open Access
  • Published: 05 Sep 2006 Journal: Physical Review A, volume 74 (issn: 1050-2947, eissn: 1094-1622, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
We investigate the long-time limit of quantum localization of the kicked Rydberg atom. The kicked Rydberg atom is shown to possess in addition to the quantum localization time $\tau_L$ a second cross-over time $t_D$ where quantum dynamics diverges from classical dynamics towards increased instability. The quantum localization is shown to vanish as either the strength of the kicks at fixed principal quantum number or the quantum number at fixed kick strength increases. The survival probability as a function of frequency in the transient localization regime $\tau_L<t<t_D$ is characterized by highly irregular, fractal-like fluctuations.
Persistent Identifiers
Subjects
free text keywords: Atomic and Molecular Physics, and Optics, Quantum Physics, Quantum number, Atom, Quantum dynamics, Rydberg atom, Quantum, Physics, Atomic physics, Instability, Principal quantum number, Quantum mechanics, Quantum chaos
18 references, page 1 of 2

[1] H.-J. Sto¨ckmann, Quantum Chaos, an Introduction, Cambridge University Press (1999)

[2] G. Casati, B. V. Chirikov, and D. L. Shepelyansky, Phys. Rep. 154, 77 (1987); G. Casati, I. Guarneri, and D. L. Shepelyansky , IEEE Jour. Quant. Elect. 24, 1420 (1988)

[3] M. V. Berry, Physica D 33, 26 (1988)

[4] G. Casati, B. V. Chirikov, F. M. Izraelev, and J. Ford, Lecture Notes in Phys. 93, 334 (Springer, 1979); G. Casati, I. Guarneri, and D. L. Shepelyansky, Phys. Rev. Lett. 62, 345 (1989)

[5] S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982)

[6] S. Adachi, M. Toda, K. Ikeda, Phys. Rev. Lett. 61, 659 (1988)

[7] F. L. Moore, J. C. Robinson, C. F. Bharucha, B. Sundaram, and M. G. Raizen, Phys. Rev. Lett. 75, 4598 (1995)

[8] R. V. Jensen, S. M. Susskind, and M. M. Sanders, Phys. Rep 201, 1 (1991)

[9] J. E. Bayfield and L. A. Pinnaduwage, Phys. Rev. Lett. 54, 313 (1985)

[10] P. M. Koch and K. A. H. van Leeuwen, Phys. Rep. 255, 289 (1995)

[11] A. Buchleitner, I. Guarneri, and J. Zakrzewski, Europhys. Lett 44, 162 (1998); S. Wimberger and A. Buchleitner, J. Phys. A 34, 7181 (2001)

[12] A. Buchleitner, D. Delande, J. Zakrzewski, R. N. Mantegna, M. Arndt, and H. Walther, Phys. Rev. Lett. 75, 3818 (1995)

[13] J. Leopold and D. Richards, J. Phys. B 22, 1931 (1989)

[14] R. R Jones, D. You, and P. H. Bucksbaum, Phys. Rev. Lett. 70, 1236 (1993)

[15] M. T. Frey, F. B. Dunning, C. O. Reinhold, J. Burgdo¨rfer, Phys. Rev. A 53, R2929 (1996)

18 references, page 1 of 2
Any information missing or wrong?Report an Issue