Stable classical structures in dissipative quantum chaotic systems

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.

4 pages, 3 figures

References in corpus (6)

• Combining directional light output and ultralow loss in deformed microdisks
• Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
• Experimental Realization of Quantum-Resonance Ratchets
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Simulating noisy quantum protocols with quantum trajectories
• Semi-classical Scar functions in phase space

Cited by in corpus (5)

• Exact solution for a non-Markovian dissipative quantum dynamics
• Phase Space Structure of Generalized Gaussian Cat States
• Lyapunov Decoherence Rate in Classically Chaotic Systems
• The classical skeleton of open quantum chaotic maps
• Semiclassical matrix elements for a chaotic propagator in the Scar functions basis