Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation

TL;DR

This paper analyzes a quantum asymmetric exclusion process with particle creation and annihilation, revealing integrability and mapping to free fermions, and provides exact quantum dynamics solutions for specific initial states.

Contribution

It introduces a Lindblad-based quantum model with operator-space fragmentation and integrability, extending classical exclusion processes to quantum regimes with exact solutions.

Findings

Model exhibits operator-space fragmentation and Yang-Baxter integrability.

Special loss/gain rates allow mapping to free fermions.

Full quantum dynamics are determined for initial product states.

Abstract

We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms. The resulting Lindbladian exhibits operator-space fragmentation and each block is Yang-Baxter integrable. For particular loss/gain rates the model can be mapped to free fermions. We determine the full quantum dynamics for an initial product state in this case.