Quantum Chaotic Environments, the Butterfly Effect, and Decoherence

2001/11/01 by Zbyszek P. Karkuszewski, Christopher Jarzynski, Wojciech H. Zurek · 8 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1103/physrevlett.89.170405

published as Phys.Rev.Lett. 89, 170405 (2002) · 4 pages, 3 figures

arxiv created 2001/11/01 · openalex publication_date 2002/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the sensitivity of quantum systems that are chaotic in a classical limit to small perturbations of their equations of motion. This sensitivity, originally studied in the context of defining quantum chaos, is relevant to decoherence when the environment has a chaotic classical counterpart.

Citations

• Distribution functions in physics: Fundamentals
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Decoherence in a classically chaotic quantum system: Entropy production and quantum-classical correspondence

Cited by

• Dynamics of Loschmidt echoes and fidelity decay
• Universality of the Lyapunov regime for the Loschmidt echo
• Proliferation of effective interactions: Decoherence-induced equilibration in a closed many-body system
• Action scales for quantum decoherence and their relation to structures in phase space
• Quantum quenches in the Dicke model: Statistics of the work done and of other observables
• Non-Markovian quantum dynamics and classical chaos
• Quantum freeze of fidelity decay for a class of integrable dynamics
• Butterfly effect [wikipedia]