The Bethe ansatz for a new integrable open quantum system
Statistical Mechanics
2022-07-29 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we apply the nested algebraic Bethe ansatz to compute the eigenvalues and the Bethe equations of the transfer matrix of the new integrable Lindbladian found in [1]. We show that it can be written as an integrable spin chain consisting of two interacting XXZ spin chains. We numerically compute the Liouville gap and its dependence on the parameters in the system such as scaling with the system length and interaction strength.
Cite
@article{arxiv.2207.14193,
title = {The Bethe ansatz for a new integrable open quantum system},
author = {Marius de Leeuw and Chiara Paletta},
journal= {arXiv preprint arXiv:2207.14193},
year = {2022}
}
Comments
33 pages, 6 figures