Quantum ratchets in dissipative chaotic systems

TL;DR

This paper investigates quantum ratchets in dissipative chaotic systems, demonstrating directed transport from quantum strange attractors and exploring quantum-classical transition, with potential cold atom implementations.

Contribution

It introduces a quantum chaotic dissipative ratchet model using quantum trajectories and analyzes its behavior and transition to classical dynamics.

Findings

Directed transport emerges from quantum strange attractors.

Transition from quantum to classical behavior observed at small Planck constant.

Parameter regimes suitable for cold atom experiments identified.

Abstract

Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport emerging from a quantum strange attractor. This model exhibits, in the limit of small effective Planck constant, a transition from quantum to classical behavior, in agreement with the correspondence principle. We also discuss parameter values suitable for implementation of the quantum ratchet effect with cold atoms in optical lattices.