Stable classical structures in dissipative quantum chaotic systems

TL;DR

This paper investigates how classical structures in chaotic quantum systems, specifically the quantum baker map with dissipation, remain stable under environmental effects, highlighting the robustness of scar functions against decoherence.

Contribution

It demonstrates the robustness of scar functions in dissipative quantum chaos and analyzes their behavior compared to other localized states under environmental perturbations.

Findings

Scar functions are highly robust against environmental perturbations.

Purity and fidelity exhibit complementary behaviors as measures of decoherence.

Classical structures in chaotic systems can remain stable despite dissipation.

Abstract

We study the stability of classical structures in chaotic systems when a dissipative quantum evolution takes place. We consider a paradigmatic model, the quantum baker map in contact with a heat bath at finite temperature. We analyze the behavior of the purity, fidelity and Husimi distributions corresponding to initial states localized on short periodic orbits (scar functions) and map eigenstates. Scar functions, that have a fundamental role in the semiclassical description of chaotic systems, emerge as very robust against environmental perturbations. This is confirmed by the study of other states localized on classical structures. Also, purity and fidelity show a complementary behavior as decoherence measures.