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arXiv · 2608.09056

Long-range multipartite entanglement in holographic gapless systems

Xiantong Chen·Xuanting Ji·Xin-Xiang Ju·Wen-Peng Li·Ya-Wen Sun
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Abstract

Gapless quantum systems support correlations over arbitrarily long distances, giving rise to power-law long-range entanglement. We investigate long-range entanglement at strong coupling for three-dimensional gapless systems using holography, asking whether multipartite entanglement can exhibit scale-growing behavior and become enhanced at large distances. We show that a broad class of multipartite entanglement quantities share the same leading large-distance scaling exponent determined by the IR geometry. To realize different scaling regimes, we consider hyperscaling-violating IR geometries. Depending on the parameters, long-distance multipartite entanglement can decay, become logarithmic, grow subextensively, or reach a volume law. We also analyze an anisotropic IR geometry \(\mathrm{AdS}_{3}\times\mathbb{R}^{2}\), where long-range multipartite entanglement survives along one direction but becomes short-ranged in the transverse gapped directions. These results show that holographic gapless phases can support rich and enhanced long-range multipartite entanglement, providing a nonlocal characterization of the underlying IR physics.

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Xiantong Chen, Xuanting Ji, Xin-Xiang Ju, Wen-Peng Li, Ya-Wen Sun. 2026-08-10. Long-range multipartite entanglement in holographic gapless systems. https://arxiv.org/abs/2608.09056

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