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Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders

by Pei-Yun Yang, Yu-Chin Tzeng

Submission summary

Authors (as registered SciPost users): Yu-Chin Tzeng
Submission information
Preprint Link: https://arxiv.org/abs/2409.17062v2  (pdf)
Date accepted: 2024-10-31
Date submitted: 2024-10-29 03:52
Submitted by: Tzeng, Yu-Chin
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical

Abstract

Quantum entanglement plays a crucial role not only in understanding Hermitian many-body systems but also in offering valuable insights into non-Hermitian quantum systems. In this paper, we analytically investigate the entanglement Hamiltonian and entanglement energy spectrum of a non-Hermitian spin ladder using perturbation theory in the biorthogonal basis. Specifically, we examine the entanglement properties between coupled non-Hermitian quantum spin chains. In the strong coupling limit ($J_\mathrm{rung}\gg1$), first-order perturbation theory reveals that the entanglement Hamiltonian closely resembles the single-chain Hamiltonian with renormalized coupling strengths, allowing for the definition of an ad hoc temperature. Our findings provide new insights into quantum entanglement in non-Hermitian systems and offer a foundation for developing novel approaches for studying finite temperature properties in non-Hermitian quantum many-body systems.

Author comments upon resubmission

We thank both referees for reviewing our manuscript and unanimously agreeing that it is suitable for publication in SciPost Physics Core. We have revised the manuscript according to the suggestions of referee 1, and we are very grateful for the improvements made to our work.

List of changes

1) rewrite the last sentence in the abstract.
2) page 2, add two paragraphs before the last paragraph.
3) page 3, add one sentence and cite reference [39].
4) page 7, section 4, rewrite the last sentence of the 2nd paragraph.
5) all the calculations and conclusions are unchanged.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

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