The classical skeleton of open quantum chaotic maps

TL;DR

This paper investigates how classical structures like scar functions influence the robustness of quantum states under environmental noise in chaotic systems, revealing their stability and significance in dissipative quantum maps.

Contribution

It demonstrates that scar functions, built on classical invariants, are the most stable quantum states under decoherence in chaotic maps, linking classical and quantum stability.

Findings

Scar functions are highly stable under decoherence.

Classical invariants underpin the robustness of certain quantum states.

Quantum distributions based on classical structures are most resilient.

Abstract

We have studied two complementary decoherence measures purity and fidelity for a generic diffusive noise in two different chaotic systems (the baker and the cat maps). For both quantities, we have found classical structures in quantum mechanics - the scar functions - that are specially stable when subjected to environmental perturbations. We show that these quantum states constructed on classical invariants are the most robust significant quantum distributions in generic dissipative maps.