Yang-Baxter integrable Lindblad equations

TL;DR

This paper explores Lindblad equations for 1D fermionic and spin models, identifying those that map onto integrable Yang-Baxter models and analyzing their diffusive late-time behavior using Bethe Ansatz.

Contribution

It introduces a super-operator formalism to connect Lindblad equations with integrable Yang-Baxter models and studies their dynamics.

Findings

Certain Lindblad equations are integrable via Yang-Baxter methods

Late-time dynamics of these models exhibit diffusion

Bethe Ansatz techniques reveal detailed dynamical properties

Abstract

We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.