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Yang-Baxter integrable Lindblad equations
by Aleksandra A. Ziolkowska and Fabian H.L. Essler
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Fabian Essler |
| Submission information | |
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| Preprint Link: | scipost_201912_00047v3 (pdf) |
| Date accepted: | 2020-03-13 |
| Date submitted: | 2020-03-09 01:00 |
| Submitted by: | Essler, Fabian |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter integrable models. Employing Bethe Ansatz techniques we show that the late-time dynamics of some of these models is diffusive.
List of changes
Reference added
Published as SciPost Phys. 8, 044 (2020)
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Concerning the reservation in my previous report, the authors have added appropriate references addressing the higher-rank Heisenberg model with toroidal boundary conditions. I think the manuscript is now suited for publication in SciPost.