发表机构
Harvard University(哈佛大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文通过精确可解自旋链编码反德西特黑膜中标量场径向方程,揭示径向坐标即晶格准动量,并在超导处理器上验证,低能下得到共形场论。
AI 中文摘要
我们证明,反德西特黑膜背景中标量场的径向微分方程可以编码在一个与维度无关的精确可解半无限自旋链中。径向坐标作为晶格准动量出现。自旋相干性编码了几何结构,而谱和响应恢复了引力可观测量,并给出了精确的屏蔽质量求和规则。我们在超导处理器上实现了有限链。在有限填充和低能条件下,该模型在正比于固有径向距离的坐标中产生一个共形场论。
英文摘要
We show that the radial differential equation for a scalar field in an anti-de Sitter black brane background can be encoded in an exactly solvable semi-infinite spin chain independent of dimensionality. The radial coordinate emerges as lattice quasimomentum. Spin coherence encodes the geometry, while the spectrum and response recover gravitational observables and yield exact screening-mass sum rules. We implement the finite chain on a superconducting processor. At finite filling and low energies, the model yields a conformal field theory in a coordinate proportional to proper radial distance.
Comments10 pages, 2 figures