Codification Volume of an operator algebra and its irreversible growth through thermal processes
Quantum Physics
2014-10-24 v3 High Energy Physics - Theory
Abstract
Given a many-body system, we define a quantity, the Codification Volume of an operator algebra, which measures the size of the subspace with whom a given algebra is correlated. We explicitly calculate it for some limit cases, including vacuum states of local Hamiltonians and random states taken from the Haar ensemble. We argue that this volume should grow irreversibly in a thermalization process, and illustrate it numerically on a non-integrable quantum spin chain.
Keywords
Cite
@article{arxiv.1404.2208,
title = {Codification Volume of an operator algebra and its irreversible growth through thermal processes},
author = {Javier M. Magan and Simone Paganelli},
journal= {arXiv preprint arXiv:1404.2208},
year = {2014}
}