Comment on "Ehrenfest times for classically chaotic systems"

Abstract

In a recent Phys. Rev. E Rapid Communication, the authors, Silvestrov and Beenakker, introduce a way to lengthen the Ehrenfest time, $\tau$, for fully chaotic systems. We disagree with several statements made in their paper, and address the following points essential to their conclusions: 1) it is not true that all semiclassical approximations for chaotic systems fail at a so-called `logtime', $\tau \propto -\ln (\hslash )$, differing only by a numerical coefficient; and 2) the limitation of the semiclassical approximation as expressed in the authors' Eq. (8) is not limited by their argument leading to Eq. (12).

Submitted to Phys. Rev. E

References in corpus (1)

• Ehrenfest times for classically chaotic systems

Cited by in corpus (3)

• Uniform Semiclassical Approach to Fidelity Decay: from Weak to Strong Perturbation
• A semiclassical theory of phase-space dynamics of interacting bosons
• Semiclassical approximation for a nonlinear oscillator with dissipation