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Acta Physica Sinica

DYNAMICAL INVESTIGATION ON MOMENTUM SPREAD OF TWO-LEVEL ATOMS BY A MODULATED STANDING LIGHT WAVE

Zhongjie Wang, Lu Yi-Qun, Lu Tongxing, (1)安徽师范大学物理系，芜湖 241000; (2)中国科学院安徽光学精密机械研究所，合肥 230031

Published Jan 1, 1999• 0 citations
Publisher

Abstract

In this paper the model of two-level atomic momentum spread in amplitude-modulated standing light wave was investigated.This model shows chaotic behaviour in the classical limit.The system displays the characteristic of dynamical localization for the same parameters as those in the classical model correspoinding to it.
DOI
10.7498/aps.48.2015

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In this paper the model of two level atomic momentum spread in amplitude and phase modulated standing light wave was investigated. this is a nonlinear quantum pendulum driven by a time dependent perterbation with two frequencies. This system shows chaotic behaviour in the classical limit. The system exists the characteristic of dynamical localization for the same parameters as that in the classical model correspoinding to it. Localization length of the system with two incommensurate perturbing frequency is much larger than that of the system with one perturbing frequency.
We investigate the classical and quantum dynamics of atoms moving in a phase-modulated standing light field. In both cases the width of the momentum distribution exhibits characteristic oscillations as a function of the modulation amplitude. We argue that at the maxima of these oscillations the system is chaotic, whereas in the valleys it is almost regular. Quantum localization appears only in the chaotic regime. We connect our analysis with a recent experiment [F. Moore et al., Phys. Rev. Lett. 73, 2974 (1994)].
Dynamics of the quantum system that consists of a cold atom in a modulated standing wave of light is analyzed using the time-dependent variational principle formulation based on squeezed coherent states. A group of ordinary differential equations describing evolution of two pairs of canonically conjugate variables (q(t), p(t); G(t), Π(t)) are derived where G(t) and Π(t) describe the quantum fluctuations of the system. It has been shown that a transition from the regular motion to the chaotic motion in G(t), Π(t) phase space. Quantum system seems to be capable to show the classical-like chaotic structure.