论文标题
纠缠哈密顿的本地和非本地特性在两个间隔间隔两个间隔
Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
论文作者
论文摘要
我们考虑由两个分离间隔组成的子系统的基态链和纠缠哈密顿式的链条链。在这种情况下，除了众所周知的和主导的短距离跳跃外，间隔之间的远距离跳跃都具有奇特的远距离跳跃。我们展示了如何从晶格结果中恢复连续表达式的一般填充和任意间隔。我们还讨论了一个与半无限链末端的单个间隔紧密相关的情况，以及此问题的连续限制。最后，我们表明，对于连续体的双间隔，通勤操作员存在可用于查找本征态的运算符。
We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar long-range hopping between the intervals in addition to the well-known and dominant short-range hopping. We show how the continuum expressions can be recovered from the lattice results for general filling and arbitrary intervals. We also discuss the closely related case of a single interval located at a certain distance from the end of a semi-infinite chain and the continuum limit for this problem. Finally, we show that for the double interval in the continuum a commuting operator exists which can be used to find the eigenstates.
