Dissipative Chaos in Quantum Distributions

Details Dissipative Chaos in Quantum Distributions Dissipative Chaos in Quantum Distributions

2011-01-30

arxiv.org/abs/1101.5750v1

MODERN OPTICS AND PHOTONICS Atoms and Structured Media Proceedings of the International Advanced Research Workshop, 2010

Physics

Quantum Physics

17 pages, 3 figures, proceeding of Modern Optics And Photonics

Scientific paper

10.1142/9789814313278_0005

We discuss some problems of dissipative chaos for open quantum systems in the framework of semiclassical and quantum distributions. For this goal, we propose a driven nonlinear oscillator with time-dependent coefficients, i.e. with time-dependent Kerr-nonlinearity and time-modulated driving field. This model showing both regular and chaotic dynamics in the classical limit is realized in several experimental schemes. Quantum dissipative chaos is analyzed on the base of numerical method of quantum trajectories. Three quantities are studied: the Wigner function of oscillatory mode from the point of view of quantum-assemble theory and both semiclassical Poincare section and quantum Poincare section calculated on a single quantum trajectory. The comparatively analysis of these distributions for various operational chaotic regimes of the models is performed, as well as scaling invariance in dissipative chaos and quantum interference effects assisted by chaos are discussed.

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