Quantum bound to chaos and the semiclassical limit
Statistical Mechanics
2017-01-23 v2 High Energy Physics - Theory
Abstract
We discuss the quantum bound on chaos in the context of the free propagation of a particle in an arbitrarily curved surface at low temperatures. The semiclassical calculation of the Lyapunov exponent can be performed in much the same way as the corresponding one for the `Loschmidt echo'.The bound appears here as the impossibility to scatter a wave, by effect of the curvature, over characteristic lengths smaller than the deBroglie wavelength.
Cite
@article{arxiv.1612.01278,
title = {Quantum bound to chaos and the semiclassical limit},
author = {Jorge Kurchan},
journal= {arXiv preprint arXiv:1612.01278},
year = {2017}
}
Comments
References added, some typos corrected