Hidden quasi-local charges and Gibbs ensemble in a Lindblad system

We consider spin-1/2 chains with external driving that breaks the continuous symmetries of the Hamiltonian. We introduce a family of models described by the Lindblad equation with local jump operators. The models have hidden strong symmetries in the form of quasi-local charges, leading to multiple n...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: de Leeuw, Marius, Paletta, Chiara, Pozsgay, Balázs, Vernier, Eric
Format: Article
Language:English
Subjects:
Operators (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider spin-1/2 chains with external driving that breaks the continuous symmetries of the Hamiltonian. We introduce a family of models described by the Lindblad equation with local jump operators. The models have hidden strong symmetries in the form of quasi-local charges, leading to multiple non-equilibrium steady states. We compute them exactly in the form of Matrix Product Operators, and argue that they are the analogues of quantum many body scars in the Lindbladian setting. We observe that the dynamics leads to the emergence of a Gibbs ensemble constructed from the hidden charges.
ISSN:2331-8422