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Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain

by He-Ran Wang, Bo Li, Fei Song, Zhong Wang

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Submission summary

Authors (as registered SciPost users): Heran Wang
Submission information
Preprint Link: https://arxiv.org/abs/2301.11896v3  (pdf)
Date accepted: 2023-10-26
Date submitted: 2023-10-24 04:21
Submitted by: Wang, Heran
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical

Abstract

We study the open XXZ spin chain with a PT-symmetric non-Hermitian boundary field. We find an interaction-induced scale-free non-Hermitian skin effect by using the coordinate Bethe ansatz. The steady state and the ground state in the PT broken phase are constructed, and the formulas of their eigen-energies in the thermodynamic limit are obtained. The differences between the many-body scale-free states and the boundary string states are explored, and the transition between the two at isotropic point is investigated. We also discuss an experimental scheme to verify our results.

Published as SciPost Phys. 15, 191 (2023)



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