Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany.
Phys Rev Lett. 2018 Nov 16;121(20):200602. doi: 10.1103/PhysRevLett.121.200602.
Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular) Hamiltonian has proven to be a considerably more difficult problem, and only a few results are available. We introduce a technique to directly determine the entanglement Hamiltonian of interacting fermionic models by means of auxiliary field quantum Monte Carlo simulations. We implement our method on the one-dimensional Hubbard chain partitioned into two segments and on the Hubbard two-leg ladder partitioned into two chains. In both cases, we study the evolution of the entanglement Hamiltonian as a function of the physical temperature.
近年来，强关联电子系统领域的数值进展使得能够计算相互作用费米子系统的纠缠谱和熵。明确确定纠缠（模）哈密顿量已被证明是一个相当困难的问题，并且只有少数结果可用。我们介绍了一种通过辅助场量子蒙特卡罗模拟直接确定相互作用费米子模型的纠缠哈密顿量的技术。我们在一维 Hubbard 链分成两段和 Hubbard 双链梯分成两段的情况下实施了我们的方法。在这两种情况下，我们研究了纠缠哈密顿量随物理温度的演化。
