Dissipative flow equations
Quantum Physics
2020-12-30 v4 Quantum Gases
Strongly Correlated Electrons
Abstract
We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We first test our dissipative flow equations on a generic matrix and on a physical problem with a driven-dissipative single fermionic mode. We then move to problems with many fermionic modes and discuss the interplay between coherent (disordered) dynamics and localized losses. Our method can also be applied to non-Hermitian Hamiltonians.
Cite
@article{arxiv.2007.12044,
title = {Dissipative flow equations},
author = {Lorenzo Rosso and Fernando Iemini and Marco Schirò and Leonardo Mazza},
journal= {arXiv preprint arXiv:2007.12044},
year = {2020}
}
Comments
22 pages plus appendices, 9 figures. Typos in Sec. 2.2 and appendix A corrected