Dissipative Chaos in Quantum Distributions

TL;DR

This paper investigates dissipative chaos in open quantum systems using a driven nonlinear oscillator model, analyzing quantum and semiclassical distributions to understand chaotic dynamics and quantum interference effects.

Contribution

It introduces a model with time-dependent Kerr-nonlinearity and driving field to study quantum dissipative chaos through numerical quantum trajectories and distribution analysis.

Findings

Quantum and semiclassical distributions reveal different aspects of chaos.

Scaling invariance in dissipative chaos is observed.

Quantum interference effects are enhanced by chaotic dynamics.

Abstract

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.