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The effect of Landau-Zener tunnelings on the nonlinear dynamics of cold atoms in a modulated laser field

2014/01/09 by V. Yu. Argonov, Victor Argonov, Argonov, Victor
Computer Science · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Laser-Matter Interactions and Applications #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #physics.atom-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.1401.2156

5 pages, 3 figures

arxiv created 2014/01/09 · openalex publication_date 2014/01/09 · arxiv updated 2014/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the motion of a cold atom in a frequency-modulated standing laser wave. If the detuning between the atomic electronic transition and the field is large, the atom moves in a modulated optical potential demonstrating known classical nonlinear effects such as chaos and nonlinear resonances. If the atom-field detuning is small, then two optical potentials emerge in the system, and the atom performs Landau-Zener (LZ) tunnelings between them. It is a radically non-classical behavior. However, we show that classical nonlinear structures in system's phase space (KAM-tori and chaotic layers) survive. Quantum effect of LZ tunnelings only induces small random jumps of trajectories between these structures (dynamical tunneling).

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