Exponential and nonexponential localization of the one-dimensional periodically kicked Rydberg atom

Journal Article · Tue Aug 01 04:00:00 EDT 2000 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.62.023408· OSTI ID:20217208

Yoshida, S ^[1]; Reinhold, C O ^[1]; Kristoefel, P ^[2]; Burgdoerfer, J ^[1]

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1. Department of Physics, University of Tennessee, Knoxville, Tennessee 37996-1200 (United States)
2. Institute for Theoretical Physics, Vienna University of Technology, A1040 Vienna, (Austria)

We investigate the quantum localization of the one-dimensional Rydberg atom subject to a unidirectional periodic train of impulses. For high frequencies of the train the classical system becomes chaotic and leads to fast ionization. By contrast, the quantum system is found to be remarkably stable. We identify for this system the coexistence of different localization mechanisms associated with resonant and nonresonant diffusion. We find for the suppression of nonresonant diffusion an exponential localization whose localization length can be related to the classical dynamics in terms of the ''scars'' of the unstable periodic orbits. We show that the localization length is determined by the energy excursion along the periodic orbits. The suppression of resonant diffusion along the sequence of photonic peaks is found to be nonexponential due to the presence of high harmonics in the driving force. (c) 2000 The American Physical Society.

• OSTI ID: 20217208
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 62; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
NONLINEAR OPTICS
NONLINEAR PROBLEMS
OPTICS
PHOTOIONIZATION
QUANTUM MECHANICS
RYDBERG STATES
THEORETICAL DATA