2007/03/31 by K. M. Fonseca Romero, K. M. Fonseca-Romero, Júlia E. Parreira +6 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/11/115303
published as J. Phys. A: Math. Theor. 41 115303 (9pp) (2008) · 9 pages, 1 figure, published version
openalex publication_date 2008/03/04 · arxiv created 2008/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study and compare the information loss of a large class of gaussian bipartite systems. It includes the usual Caldeira-Leggett type model as well as Anosov models (parametric oscillators, the inverted oscillator environment, etc), which exhibit instability, one of the most important characteristics of chaotic systems. We establish a rigorous connection between the quantum Lyapunov exponents and coherence loss. We show that in the case of unstable environments, coherence loss is completely determined by the upper quantum Lyapunov exponent, a behavior dramatically different to that of the Caldeira-Leggett type model. For this class of systems we have been able to prove a long standing conjecture that for information loss the complexity of even a few (one) degrees of freedom is far more effective in destroying quantum coherence than stable many-body environments.