Universal decay of the classical Loschmidt echo of neutrally stable mixing dynamics.
We provide analytical and numerical evidence that the classical mixing systems, which lack exponential sensitivity on initial conditions, exhibit universal decay of the 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.
Casati
Giulio
G
Center for Nonlinear and Complex Systems, Università degli studi dell'Insubria, Como, Italy.
Prosen
Tomaz
T
Lan
Jinghua
J
Li
Baowen
B