Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914419866337280 |
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| author | Zheng, Zhen-Yu Chen, Shu |
| author_facet | Zheng, Zhen-Yu Chen, Shu |
| contents | We investigate the entanglement properties in a generalized quantum cluster model under periodic boundary condition. By evaluating the quantum conditional mutual information entropy under four subsystem partitions, we identify clear signatures of long-range entanglement. Specifically, when both the system size $N$ and the interaction range $m$ are odd, the system exhibits nonzero four-part quantum conditional mutual information entropies in infinitesimal but finite field. This nonvanishing four-part quantum conditional mutual information entropy directly signals the presence of long-range entanglement. In contrast, all other combination of $N$ and $m$ yield vanishing four-part quantum conditional mutual information entropy. Remarkably, in the case of $N, m \in \text{odd}$, these long-range entangled features persist even in the presence of a large transverse field, demonstrating their robustness against quantum fluctuations. These results demonstrate how the interplay between system size and interaction range governs the emergence of long-range entanglement in one-dimensional generalized quantum cluster model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models Zheng, Zhen-Yu Chen, Shu Quantum Physics Other Condensed Matter We investigate the entanglement properties in a generalized quantum cluster model under periodic boundary condition. By evaluating the quantum conditional mutual information entropy under four subsystem partitions, we identify clear signatures of long-range entanglement. Specifically, when both the system size $N$ and the interaction range $m$ are odd, the system exhibits nonzero four-part quantum conditional mutual information entropies in infinitesimal but finite field. This nonvanishing four-part quantum conditional mutual information entropy directly signals the presence of long-range entanglement. In contrast, all other combination of $N$ and $m$ yield vanishing four-part quantum conditional mutual information entropy. Remarkably, in the case of $N, m \in \text{odd}$, these long-range entangled features persist even in the presence of a large transverse field, demonstrating their robustness against quantum fluctuations. These results demonstrate how the interplay between system size and interaction range governs the emergence of long-range entanglement in one-dimensional generalized quantum cluster model. |
| title | Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2512.13110 |