D3-D7全息导体中密度驱动的味道纠缠各向异性反转
Density-driven reversal of flavour-entanglement anisotropy in the D3-D7 holographic conductor
浏览论文内容
中文总结 AI 辅助
本研究通过D3-D7全息模型，发现强耦合导体中味道纠缠熵的各向异性随电荷密度增加发生符号反转，该反转源于狄拉克-玻恩-因费尔德应力的径向竞争，且为平滑交叉而非相变。
中文摘要 AI 辅助
我们研究了在有限温度和电荷密度下，均匀3+1维强耦合导体中领先的探针味道对等时空间纠缠熵的贡献，该导体通过D3-D7系统在全息上实现，并由恒定直流电场驱动。我们比较了沿两个空间方向延伸且具有平行或垂直于电场的有限宽度的板状子区域。相应熵修正之间的差异隔离出一个均匀、空间无迹的响应，并表现出密度驱动的符号反转。在所研究的参数范围内，交叉密度随电场强度的增加而增加，随条带宽度的增加而减少。互信息显示出相同的定性反转，并提供了紫外有限的检验。我们将该效应追溯到完整狄拉克-玻恩-因费尔德应力各向异性中的径向符号竞争。该反转是一个平滑的响应交叉，而非热力学相变。
英文摘要
We study the leading probe-flavour contribution to equal-time spatial entanglement entropy in a homogeneous 3+1-dimensional strongly coupled conductor at finite temperature and charge density, realised holographically by the D3-D7 system and driven by a constant DC electric field. We compare slab-shaped subregions that are extended in two spatial directions and have finite width parallel or transverse to the field. The difference between the corresponding entropy corrections isolates a homogeneous, spatially traceless response and exhibits a density-driven sign reversal. Over the investigated parameter range, the crossover density increases with the electric-field magnitude and decreases with the strip width. Mutual information shows the same qualitative reversal and provides an ultraviolet-finite check. We trace the effect to a radial sign competition in the full Dirac-Born-Infeld stress anisotropy. The reversal is a smooth response crossover rather than a thermodynamic phase transition.
发表机构
- Chuo University（中央大学）
机构由 AI 辅助整理，请以论文原文为准。
