论文标题
相互作用系统的纠缠哈密顿量：局部温度近似及以后
Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
论文作者
论文摘要
我们研究了几种相互作用的晶格费米子和自旋模型的基础各个区域的纠缠哈密顿量（EH）的第二个量化形式。对于通用当地哈密顿人的基础，EH与Hamiltonian模型之间的关系是一个未解决的问题。 In this letter, we demonstrate that the EH is practically local and its dominant components are related to the terms present in the model Hamiltonian up to a smooth spatially varying temperature even for (a) discrete lattice systems, (b) systems with no emergent conformal or Lorentz symmetry, and (c) for subsystems with non-flat boundaries, up to relatively strong interactions.我们表明，在给定点处提到的局部温度与子系统和环境之间的边界距离成反比。我们也发现了EH中的次要术语，并表明它们被严重抑制了子系统的边界，并且附近相对较小。
We investigate the second quantization form of the entanglement Hamiltonian (EH) of various subregions for the ground-state of several interacting lattice fermions and spin models. The relation between the EH and the model Hamiltonian itself is an unsolved problem for the ground-state of generic local Hamiltonians. In this letter, we demonstrate that the EH is practically local and its dominant components are related to the terms present in the model Hamiltonian up to a smooth spatially varying temperature even for (a) discrete lattice systems, (b) systems with no emergent conformal or Lorentz symmetry, and (c) for subsystems with non-flat boundaries, up to relatively strong interactions. We show that the mentioned local temperature at a given point decays inversely proportional to its distance from the boundary between the subsystem and the environment. We find the subdominant terms in the EH as well and show that they are severely suppressed away from the boundaries of subsystem and are relatively small near them.
