Entanglement architecture of beyond-Landau quantum criticality

• URL: http://arxiv.org/abs/2509.09983v1
• Date: Fri, 12 Sep 2025 05:55:50 GMT
• Title: Entanglement architecture of beyond-Landau quantum criticality
• Abstract summary: Quantum critical points beyond the Landau paradigm exhibit fractionalized excitations and emergent gauge fields.<n>We focus on genuine multipartite entanglement (GME)<n>Key signatures at non-Landau criticality include the absence of three-spin GME, and the loss of non-loopy entanglement in unicursal regions.
• Score: 0.6977547772245161
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 N\'eel-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.

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