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

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.

27 pages, 5 figures. Explanations clarified from previous version, minor notation changes, minor typos fixed. Accepted for publication in JSTAT