Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910906108084224 |
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| author | Yang, Pei-Yun Tzeng, Yu-Chin |
| author_facet | Yang, Pei-Yun Tzeng, Yu-Chin |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_17062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders Yang, Pei-Yun Tzeng, Yu-Chin Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics Strongly Correlated Electrons 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. |
| title | Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.17062 |