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Chinese journal of atomic and molecular physics

Investigation on the effect of dynamically localization of the quantum parameter excited pendulum

Zhong Wang

Published Jan 1, 1999• 0 citations
OpenAlex

Abstract

In this paper the model of two level atomic momentum spread in amplitude modulated standing light wave was investigated. The model which is called a quantum parameter excited pendulum shows chaotic behavior in the classical limit. The system displays the characteristic of dynamical localization for the same parameters as that in the classical model corresponding to it.

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In this paper the model of two level atomic momentum spread in amplitude modulated standing light wave was investigated. The model which is called a quantum parameter excited pendulum shows chaotic behavior in the classical limit. The system displays the characteristic of dynamical localization for the same parameters as that in the classical model corresponding to it.
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)].
We present experimental results for the dynamics of cold atoms in a far detuned amplitude-modulated optical standing wave. Phase-space resonances constitute distinct peaks in the atomic momentum distribution containing up to 65% of all atoms resulting from a mixed quantum chaotic phase space. We characterize the atomic behavior in classical and quantum regimes and we present the applicable quantum and classical theory, which we have developed and refined. We show experimental proof that the size and the position of the resonances in phase space can be controlled by varying several parameters, such as the modulation frequency, the scaled well depth, the modulation amplitude, and the scaled Planck's constant of the system. We have found a surprising stability against amplitude noise. We present methods to accurately control the momentum of an ensemble of atoms using these phase-space resonances which could be used for efficient phase-space state preparation.