Measuring lifetime of correspondence with classical decay of correlation in quantum chaos
Statistical Mechanics
2016-03-30 v1
Abstract
A very weakly coupled linear oscillator is proposed as a detector for observing time-irreversible characteristics of a quantum system, and it is used to measure the lifetime during which a classically chaotic quantum system shows decay of correlation. Except for a particular case where the lifetime agrees with the conventional Heisenberg time, which is proportional to the Hilbert space dimension , it is in general much longer: the lifetime increases in proportion to the product of and the number of superposed eigenstates, and is proportional to in the case of full superposition.
Keywords
Cite
@article{arxiv.1603.07049,
title = {Measuring lifetime of correspondence with classical decay of correlation in quantum chaos},
author = {Fumihiro Matsui and Hiroaki S. Yamada and Kensuke S. Ikeda},
journal= {arXiv preprint arXiv:1603.07049},
year = {2016}
}
Comments
6 pages, 2 figures. arXiv admin note: text overlap with arXiv:1510.00199