Extensive increase of entropy in quantum quench
Statistical Mechanics
2016-10-26 v2 Quantum Physics
Abstract
In the setup of isolated quantum systems, it is proved that the thermodynamic entropy and the diagonal entropy must increase extensively in any nontrivial quantum quench. The extensive increase of the thermodynamic entropy is shown for any initial state (even for a pure state) that represents thermal equilibrium. On the other hand, the extensive increase of the diagonal entropy is shown for any stationary initial state under the condition that both the pre-quench and the post-quench Hamiltonians satisfy the eigenstate thermalization hypothesis.
Keywords
Cite
@article{arxiv.1606.07199,
title = {Extensive increase of entropy in quantum quench},
author = {Takashi Mori},
journal= {arXiv preprint arXiv:1606.07199},
year = {2016}
}
Comments
13 pages, invited paper for Special Issue of J. Phys. A "Emerging talents"