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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.12246 |
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| _version_ | 1866913066463002624 |
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| author | Wang, Fei Liang, Guoying Zhao, Zecheng Luo, Lin-Yue Zhang, Da-Jian Xu, Bao-Ming |
| author_facet | Wang, Fei Liang, Guoying Zhao, Zecheng Luo, Lin-Yue Zhang, Da-Jian Xu, Bao-Ming |
| contents | In this work, we investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field. Within the biorthogonal framework, we calculate the ground-state correlation functions and entanglement entropy, confirming that their scaling behavior remains identical to that in the Hermitian XY model. The preservation of Hermitian phase transition features in the non-Hermitian setting is rooted in the persistence and emergence of symmetries and their breaking. Specifically, the ferromagnetic (FM) phase arises from the breaking of a $Z_2$ symmetry, while the Luttinger liquid (LL) phase is enabled by the emergence of a $U(1)$ symmetry together with the degeneracy of the real part of the energy spectrum. The nontrivial topology of the LL phase are characterized by the winding number around the exceptional point (EP). Given that non-Hermitian systems are inherently open, this research opens a new avenue for exploring conventional quantum phase transitions that are typically vulnerable to decoherence and environmental disruption in open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Survival of Hermitian Criticality in the Non-Hermitian Framework Wang, Fei Liang, Guoying Zhao, Zecheng Luo, Lin-Yue Zhang, Da-Jian Xu, Bao-Ming Quantum Physics Statistical Mechanics In this work, we investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field. Within the biorthogonal framework, we calculate the ground-state correlation functions and entanglement entropy, confirming that their scaling behavior remains identical to that in the Hermitian XY model. The preservation of Hermitian phase transition features in the non-Hermitian setting is rooted in the persistence and emergence of symmetries and their breaking. Specifically, the ferromagnetic (FM) phase arises from the breaking of a $Z_2$ symmetry, while the Luttinger liquid (LL) phase is enabled by the emergence of a $U(1)$ symmetry together with the degeneracy of the real part of the energy spectrum. The nontrivial topology of the LL phase are characterized by the winding number around the exceptional point (EP). Given that non-Hermitian systems are inherently open, this research opens a new avenue for exploring conventional quantum phase transitions that are typically vulnerable to decoherence and environmental disruption in open quantum systems. |
| title | Survival of Hermitian Criticality in the Non-Hermitian Framework |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2511.12246 |