Entanglement architecture of beyond-Landau quantum criticality
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| Format: | Preprint |
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2025
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| _version_ | 1866908535099490304 |
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| author | Song, Menghan Wang, Ting-Tung Lyu, Liuke Witczak-Krempa, William Meng, Zi Yang |
| author_facet | Song, Menghan Wang, Ting-Tung Lyu, Liuke Witczak-Krempa, William Meng, Zi Yang |
| contents | Quantum critical points beyond the Landau paradigm exhibit fractionalized excitations and emergent gauge fields. Here, we use entanglement microscopy--full tomography of the reduced density matrix of small subregions and subsequent extraction of their quantum correlations--to resolve the entanglement architecture near such exotic critical points. We focus on genuine multipartite entanglement (GME). Through unbiased quantum Monte Carlo sampling of RDMs across conventional O(2)/O(3) Wilson-Fisher transitions, and unconventional XY$^*$, and Néel-VBS transitions in (2+1)d, we discover a dichotomy: Landau criticality amplifies GME within compact subregions, while non-Landau criticality redistributes entanglement into larger, loopy configurations. Key signatures at non-Landau criticality include the absence of three-spin GME, and the loss of non-loopy entanglement in unicursal regions. Similar results in a critical resonating valence bond wavefunction confirm this multipartite entanglement structure as a common feature of emergent gauge theories. Our findings reveal a distinct entanglement architecture in beyond-Landau quantum critical theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_09983 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement architecture of beyond-Landau quantum criticality Song, Menghan Wang, Ting-Tung Lyu, Liuke Witczak-Krempa, William Meng, Zi Yang Strongly Correlated Electrons Quantum Physics Quantum critical points beyond the Landau paradigm exhibit fractionalized excitations and emergent gauge fields. Here, we use entanglement microscopy--full tomography of the reduced density matrix of small subregions and subsequent extraction of their quantum correlations--to resolve the entanglement architecture near such exotic critical points. We focus on genuine multipartite entanglement (GME). Through unbiased quantum Monte Carlo sampling of RDMs across conventional O(2)/O(3) Wilson-Fisher transitions, and unconventional XY$^*$, and Néel-VBS transitions in (2+1)d, we discover a dichotomy: Landau criticality amplifies GME within compact subregions, while non-Landau criticality redistributes entanglement into larger, loopy configurations. Key signatures at non-Landau criticality include the absence of three-spin GME, and the loss of non-loopy entanglement in unicursal regions. Similar results in a critical resonating valence bond wavefunction confirm this multipartite entanglement structure as a common feature of emergent gauge theories. Our findings reveal a distinct entanglement architecture in beyond-Landau quantum critical theories. |
| title | Entanglement architecture of beyond-Landau quantum criticality |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2509.09983 |