Constructing Integrable Lindblad Superoperators

TL;DR

This paper introduces a novel method for constructing one-dimensional integrable Lindblad systems, enabling the discovery of new quantum models with unique features and providing a structured approach to solvable open quantum systems.

Contribution

The paper presents a new systematic method for constructing integrable Lindblad operators, expanding the class of solvable open quantum systems with novel models and representations.

Findings

Several new integrable models with unique features

Representation of classical stochastic equations as Lindblad operators

A structured approach to solvable open quantum systems

Abstract

We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as annihilation-diffusion processes, a mixture of coherent and classical particle propagation, and a rectified steady state current. We also find new ways to represent known classical integrable stochastic equations by integrable Lindblad operators. Our method can be extended to various other situations and it establishes a structured approach to the study of solvable open quantum systems.