Traces of a Quantum Anti-Resonance in a Driven System

Details Traces of a Quantum Anti-Resonance in a Driven System Traces of a Quantum Anti-Resonance in a Driven System

1995-02-14

arxiv.org/abs/cond-mat/9502056v3

Phys. Rev. E 53 (1996) 389

Physics

Condensed Matter

The first figure is available only via FAX. It contains only a Poincare map of the classical system (see text) Most readers co

Scientific paper

10.1103/PhysRevE.53.389

It has been previously shown, that classically chaotic kicked systems, whose unperturbed spectrum posseses one energy scale, admits a quantum anti-resonance (QAR) behavior. In this study we extend the conditions under which which this QAR occurs for the case of a two-sided kicked 1D infinite potential well. It is then shown by a perturbative argument that this QAR effects the behavior of the equivalent driven well, i.e., the number of periods needed to leave the initial state has a sharp peak around the QAR. We give a numerical evidence that the anti resonance persists even for large values of the perturbation parameter.

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