AI 中文总结
该研究利用全息方法探究三维无隙系统强耦合下的长程多体纠缠，分析不同红外几何下的多体纠缠标度行为，揭示全息无隙相可支持丰富的长程多体纠缠，为红外物理提供非局域表征。
AI 中文摘要
无隙量子系统支持任意长距离的关联，从而产生幂律形式的长程纠缠。我们利用全息方法研究三维无隙系统在强耦合下的长程纠缠，探究多体纠缠是否能呈现尺度增长行为并在大距离处增强。我们证明，一类广泛的多体纠缠量具有由红外几何决定的相同大距离主导标度指数。为实现不同的标度 regime，我们考虑超尺度违反的红外几何。根据参数不同，长距离多体纠缠可衰减、呈对数形式、亚外延增长或达到体积定律。我们还分析了各向异性红外几何 AdS₃×ℝ²，其中长程多体纠缠沿一个方向存续，但在横向有隙方向变为短程。这些结果表明，全息无隙相可支持丰富且增强的长程多体纠缠，为 underlying 红外物理提供非局域表征。
英文摘要
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.
Comments30 pages, 3 figures, 3 tables
