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Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
by Pei-Yun Yang, Yu-Chin Tzeng
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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: |
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| 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
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.
Published as SciPost Phys. Core 7, 074 (2024)