How well a chaotic quantum system can retain memory of its initial state?

2008/08/22 by Valentin V. Sokolov, V. V. Sokolov, O. V. Zhirov +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic #Chaotic systems #Exponential function #Function (biology) #Instability #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum memory #nlin.CD #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/0295-5075/84/30001

published as EPL, 84 (2008) 30001 · 5 pages, 4 figures

arxiv created 2008/08/22 · openalex publication_date 2008/10/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In classical mechanics the local exponential instability effaces the memory of initial conditions and leads to practical irreversibility. In striking contrast, quantum mechanics appears to exhibit strong memory of the initial state. We relate the latter fact to the low (at most linear) rate with which the system's Wigner function gets during the evolution a more and more complicated structure and we establish the existence of a critical strength of external influence below which such a memory still survives.

Citations

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