Universal decay of classical Loschmidt echo of neutrally stable but mixing dynamics

2004/09/08 by Giulio Casati, Tomaz Prosen, Tomaž Prosen +6
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0409018

4 Pages in Revtex with 4 eps-figs

arxiv created 2004/09/08 · arxiv updated 2009/12/01

Abstract

We provide analytical and numerical evidence that classical mixing systems which lack exponential sensitivity on initial conditions, exhibit universal decay of Loschmidt echo which turns out to be a function of a single scaled time variable delta^(2/5)t, where delta is the strength of perturbation. The role of dynamical instability and entropy production is discussed.

Related

• Loschmidt Echo for edge of chaos and chaotic sea in Standard Map: Cases Study
• The Loschmidt echo in classically chaotic systems: Quantum chaos, irreversibility and decoherence
• Universality in the Decay and Revival of Loschmidt Echoes
• Decay of the classical Loschmidt echo in integrable systems
• Nonstandard mixing in the standard map