Multi-entropy and the Dihedral Measures at Quantum Critical Points
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911001861947392 |
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| author | Harper, Jonathan Mollabashi, Ali Takayanagi, Tadashi Tasuki, Kenya |
| author_facet | Harper, Jonathan Mollabashi, Ali Takayanagi, Tadashi Tasuki, Kenya |
| contents | The multi-entropy and dihedral measures are a class of tractable measures for multi-partite entanglement, which are labeled by the Rényi index (or replica number) $n$ as in the Rényi entanglement entropy. The purpose of this article is to demonstrate that these quantities are new useful probes of quantum critical points by examining concrete examples. In particular, we compute the multi-entropy and dihedral measures in the $1+1$ dimensional massless free scalar field theory on a lattice and in the transverse-field Ising model. For $n=2$, we find that the numerical results in both lattice theories quantitatively agree with those from conformal field theoretic calculations. For $n=3$ and $n=4$, we provide new predictions of these measures for the massless scalar field theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_10396 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-entropy and the Dihedral Measures at Quantum Critical Points Harper, Jonathan Mollabashi, Ali Takayanagi, Tadashi Tasuki, Kenya High Energy Physics - Theory Statistical Mechanics Quantum Physics The multi-entropy and dihedral measures are a class of tractable measures for multi-partite entanglement, which are labeled by the Rényi index (or replica number) $n$ as in the Rényi entanglement entropy. The purpose of this article is to demonstrate that these quantities are new useful probes of quantum critical points by examining concrete examples. In particular, we compute the multi-entropy and dihedral measures in the $1+1$ dimensional massless free scalar field theory on a lattice and in the transverse-field Ising model. For $n=2$, we find that the numerical results in both lattice theories quantitatively agree with those from conformal field theoretic calculations. For $n=3$ and $n=4$, we provide new predictions of these measures for the massless scalar field theory. |
| title | Multi-entropy and the Dihedral Measures at Quantum Critical Points |
| topic | High Energy Physics - Theory Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2506.10396 |