Complexity and instability of quantum motion near a quantum phase transition
Quantum Physics
2015-06-17 v2
Abstract
We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can be also used to characterize quantum phase transitions. The non-analytic behavior of this quantity in the neighborhood of a quantum phase transition is illustrated by means of the Dicke model and is compared to two well-known measures of the (in)stability of quantum motion, the quantum Loschmidt echo and the fidelity.
Cite
@article{arxiv.1311.4437,
title = {Complexity and instability of quantum motion near a quantum phase transition},
author = {Pinquan Qin and Wen-ge Wang and Giuliano Benenti and Giulio Casati},
journal= {arXiv preprint arXiv:1311.4437},
year = {2015}
}
Comments
9 pages, 5 figures