Responses for one-dimensional quantum spin systems via tensor networks
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910771512868864 |
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| author | Gu, Jiayin |
| author_facet | Gu, Jiayin |
| contents | Tensor networks are adopted to calculate the responses for one-dimensional quantum spin systems that are initially in thermal equilibrium. The Ising chain in mixed transverse and longitudinal fields is used as the benchmarking system. The linear and second-order responses of the magnetization in $z$-direction induced by the time-dependent force conjugated with the magnetization in $x$-direction are calculated. In addition, the magnetization in $z$-direction is also exactly calculated in response to this excitation. As expected, the first two responses are shown to be excellent corrections to the equilibrium magnetization in $z$-direction when the excitation is weak. This result represents an illustrative example of the response theory for nontrivial quantum many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01920 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Responses for one-dimensional quantum spin systems via tensor networks Gu, Jiayin Statistical Mechanics Quantum Physics Tensor networks are adopted to calculate the responses for one-dimensional quantum spin systems that are initially in thermal equilibrium. The Ising chain in mixed transverse and longitudinal fields is used as the benchmarking system. The linear and second-order responses of the magnetization in $z$-direction induced by the time-dependent force conjugated with the magnetization in $x$-direction are calculated. In addition, the magnetization in $z$-direction is also exactly calculated in response to this excitation. As expected, the first two responses are shown to be excellent corrections to the equilibrium magnetization in $z$-direction when the excitation is weak. This result represents an illustrative example of the response theory for nontrivial quantum many-body systems. |
| title | Responses for one-dimensional quantum spin systems via tensor networks |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2501.01920 |