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arXiv · 2105.08828

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

Jacob Robertson·Fabian H. L. Essler
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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.

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Jacob Robertson, Fabian H. L. Essler. 2021-09-08. Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation. https://doi.org/10.1088/1742-5468%2Fac22f8

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