Boundary effect and quantum phases in spin chains
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913336519557120 |
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| author | Ryu, Jinhyeok Cho, Jaeyoon |
| author_facet | Ryu, Jinhyeok Cho, Jaeyoon |
| contents | Boundary effect is a widespread idea in many-body theories. However, it is more of a conceptual notion than a rigorously defined physical quantity. One can quantify the boundary effect by comparing two ground states of the same physical model, which differ only slightly in system size. Here, we analyze the quantity, which we call a boundary effect function, for an XXZ spin-1/2 model using density matrix renormalization group calculations. We find that three quantum phases of the model manifest as different functional forms of the boundary effect function. As a result, the quantum phase transition of the model is associated with a nonanalytic change of the boundary effect function. This work thus provides and concretizes a novel perspective on the relationship between bulk and boundary properties of ground states. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_19588 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary effect and quantum phases in spin chains Ryu, Jinhyeok Cho, Jaeyoon Strongly Correlated Electrons Quantum Physics Boundary effect is a widespread idea in many-body theories. However, it is more of a conceptual notion than a rigorously defined physical quantity. One can quantify the boundary effect by comparing two ground states of the same physical model, which differ only slightly in system size. Here, we analyze the quantity, which we call a boundary effect function, for an XXZ spin-1/2 model using density matrix renormalization group calculations. We find that three quantum phases of the model manifest as different functional forms of the boundary effect function. As a result, the quantum phase transition of the model is associated with a nonanalytic change of the boundary effect function. This work thus provides and concretizes a novel perspective on the relationship between bulk and boundary properties of ground states. |
| title | Boundary effect and quantum phases in spin chains |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2404.19588 |