Quantum Variance and Ergodicity for the baker's map
Mathematical Physics
2016-08-16 v3 math.MP
Abstract
We prove a Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay of the quantum variance, and, as a corollary, a quantum ergodic theorem for this map.
Cite
@article{arxiv.math-ph/0412058,
title = {Quantum Variance and Ergodicity for the baker's map},
author = {Mirko Degli Esposti and Stéphane Nonnenmacher and Brian Winn},
journal= {arXiv preprint arXiv:math-ph/0412058},
year = {2016}
}