论文标题
自由费米子的反射纠缠光谱
The Reflected Entanglement Spectrum for Free Fermions
论文作者
论文摘要
我们考虑了自由费的反射熵和相关的纠缠光谱，在1+1个维度中减少了两个间隔。直接在连续理论中工作。可以从奇异积分方程的光谱中提取反射的熵，其内核是由已知的自由费米昂模块化演变相关函数确定的。我们在某些范围内在数值和分析上找到频谱。对于几乎接触反射的纠缠频谱的间隔，接近热密度矩阵的光谱。这表明反射的纠缠光谱非常适合直接从基态波函数中提取理论的物理数据的任务。
We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1+1 dimensions. Working directly in the continuum theory the reflected entropy can be extracted from the spectrum of a singular integral equation whose kernel is determined by the known free fermion modular evolved correlation function. We find the spectrum numerically and analytically in certain limits. For intervals that almost touch the reflected entanglement spectrum approaches the spectrum of the thermal density matrix. This suggests that the reflected entanglement spectrum is well suited to the task of extracting physical data of the theory directly from the ground state wave function.
