Semiclassical analysis of quantum localization of the periodically kicked Rydberg atom

Journal Article · Thu Apr 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.043410· OSTI ID:20641019

Yoshida, S; Persson, E; Burgdoerfer, J ^[1]; Grossmann, F ^[2]

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1. Institute for Theoretical Physics, Vienna University of Technology, A1040 Vienna (Austria)
2. Institute for Theoretical Physics, Dresden University of Technology, D-01062 Dresden (Germany)

The periodically kicked Rydberg atom displays quantum localization, features of which depend on the orientation and strength of the unidirectional kicks. They include scarring of the wave function, localization by cantori, and exponential localization in the regime of strong perturbation resembling dynamical localization. Using the semiclassical Herman-Kluk propagator we investigate the degree to which semiclassical dynamics can mimic quantum localization. While the semiclassical approximation has difficulties to reproduce the scarred wave functions, the exponential tail which is a typical signature of the dynamical localization is well represented in the case of strong classical diffusion. Also the localization by broken tori is observed in the semiclassical recurrence probability for short times but the deviation from the corresponding quantum dynamics becomes more pronounced for the long-time evolution.

• OSTI ID: 20641019
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
CHAOS THEORY
DIFFUSION
DISTURBANCES
EVOLUTION
ORIENTATION
PERIODICITY
PROBABILITY
PROPAGATOR
RYDBERG STATES
SEMICLASSICAL APPROXIMATION
WAVE FUNCTIONS