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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2408.05063 |
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| _version_ | 1866915420778266624 |
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| author | Mitra, Akash Srivastava, Shashi C. L. |
| author_facet | Mitra, Akash Srivastava, Shashi C. L. |
| contents | We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent $α$, with broken conformal symmetry for $α<3/2$. We analytically show that the bound energy, a quantum thermodynamical quantity, is linearly proportional to the square of entanglement entropy per unit system size for $α=1$ where conformal symmetry is broken. We further show that for all values of $α$, bound energy, in the thermodynamic limit, shows a pronounced minimum at the critical point, which enables the identification of $μ=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model Mitra, Akash Srivastava, Shashi C. L. Strongly Correlated Electrons Statistical Mechanics Quantum Physics We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent $α$, with broken conformal symmetry for $α<3/2$. We analytically show that the bound energy, a quantum thermodynamical quantity, is linearly proportional to the square of entanglement entropy per unit system size for $α=1$ where conformal symmetry is broken. We further show that for all values of $α$, bound energy, in the thermodynamic limit, shows a pronounced minimum at the critical point, which enables the identification of $μ=1$. |
| title | Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2408.05063 |