Journal of Statistical Mechanics: Theory and Experiment | 2021
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.