Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909469752950784 |
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| author | Li, Hongchao |
| author_facet | Li, Hongchao |
| contents | We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge singularity of two prototypical models: the Su-Schrieffer-Heeger model and the \emph{XXZ} spin chain. By taking the zero-temperature limit, we show how the Yang-Lee zeros approach the quantum phase transition points on the complex plane of parameters. To characterize the edge singularity induced by Yang-Lee zeros in quantum phase transition, we introduce the entanglement entropy of the ground state to show that the edges of Yang-Lee zeros lead to the ground-state entanglement transition. We further show that our results are also applicable to the general non-interacting parity-time-symmetric Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00311 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective Li, Hongchao Quantum Physics Statistical Mechanics We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge singularity of two prototypical models: the Su-Schrieffer-Heeger model and the \emph{XXZ} spin chain. By taking the zero-temperature limit, we show how the Yang-Lee zeros approach the quantum phase transition points on the complex plane of parameters. To characterize the edge singularity induced by Yang-Lee zeros in quantum phase transition, we introduce the entanglement entropy of the ground state to show that the edges of Yang-Lee zeros lead to the ground-state entanglement transition. We further show that our results are also applicable to the general non-interacting parity-time-symmetric Hamiltonians. |
| title | Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2407.00311 |