Displacement Echoes: Classical Decay and Quantum Freeze
量子物理
2015-06-26 v2 介观与纳米尺度物理
混沌动力学
摘要
Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.
引用
@article{arxiv.quant-ph/0612003,
title = {Displacement Echoes: Classical Decay and Quantum Freeze},
author = {Cyril Petitjean and Diego V. Bevilaqua and Eric J. Heller and Philippe Jacquod},
journal= {arXiv preprint arXiv:quant-ph/0612003},
year = {2015}
}