Geometric phases of reduced states in the transverse-field Ising chain
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914596765302784 |
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| author | Vasani, Chiragkumar R. Sjöqvist, Erik |
| author_facet | Vasani, Chiragkumar R. Sjöqvist, Erik |
| contents | Geometric phases have been extensively investigated in a wide range of quantum systems, often revealing deep connections to the underlying topology of many-body states. In this work, we examine two geometric phases defined for mixed quantum states$-$the interferometric geometric phase and the Uhlmann phase$-$extracted from two-site reduced density matrices of the transverse-field Ising model with nearest-neighbor interacting spins. By applying coordinated local unitary rotations to the spins, we compute the geometric phases associated with the two-site states across the critical point. We find that the interferometric phase is a more reliable indicator of the quantum phase transition in this model than the Uhlmann phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24645 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric phases of reduced states in the transverse-field Ising chain Vasani, Chiragkumar R. Sjöqvist, Erik Quantum Physics Geometric phases have been extensively investigated in a wide range of quantum systems, often revealing deep connections to the underlying topology of many-body states. In this work, we examine two geometric phases defined for mixed quantum states$-$the interferometric geometric phase and the Uhlmann phase$-$extracted from two-site reduced density matrices of the transverse-field Ising model with nearest-neighbor interacting spins. By applying coordinated local unitary rotations to the spins, we compute the geometric phases associated with the two-site states across the critical point. We find that the interferometric phase is a more reliable indicator of the quantum phase transition in this model than the Uhlmann phase. |
| title | Geometric phases of reduced states in the transverse-field Ising chain |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.24645 |