Classical and Quantum Chaos from Continuous Quantum Measurements
chao-dyn
2008-02-03 v4 Chaotic Dynamics
Abstract
The method of restricted path integrals allows one to effectively consider continuous (prolonged in time) measurements of quantum systems. Monitoring of the system coordinates is such a continuous measurement that allows one to describe a quantum system in terms of trajectories. This approach is applied to chaotic systems. The behavior of such systems is qualitatively investigated in classical and quantum regimes of the coordinate monitoring. The comparison of classical and quantum chaos in terms of trajectories is performed. Characteristic features of chaotic systems (observables) with respect to continuous measurements are analyzed in comparison with those of regular (non-chaotic) and quantum-nondemolition variables.
Cite
@article{arxiv.chao-dyn/9311010,
title = {Classical and Quantum Chaos from Continuous Quantum Measurements},
author = {Michael Mensky},
journal= {arXiv preprint arXiv:chao-dyn/9311010},
year = {2008}
}
Comments
12 pages, LATEX