论文标题
相互作用Quench之后
One-particle entanglement for one dimensional spinless fermions after an interaction quantum quench
论文作者
论文摘要
粒子纠缠提供了有关无法区分颗粒系统中量子相关性的信息。在这里，我们研究了一个粒子纠缠的熵，用于在平衡和相互作用量子淬灭之后的无旋转，相互作用的fermions的可相互作用的模型。使用大型精确对角线化和时间依赖性密度矩阵重新归一化组计算，我们从数值上计算了J-V模型的一体降低密度矩阵及其后脉冲动力学。我们包括对费米子动量分布的分析，展示了其在量子淬火后的时间演变。我们可以将推断到热力学极限的数值结果与Tomonaga-Luttinger液体状态中的现场理论持续化。使用可以在基态下唯一确定的相互作用临界值获得了良好的一致性。
Particle entanglement provides information on quantum correlations in systems of indistinguishable particles. Here, we study the one particle entanglement entropy for an integrable model of spinless, interacting fermions both at equilibrium and after an interaction quantum quench. Using both large scale exact diagonalization and time dependent density matrix renormalization group calculations, we numerically compute the one body reduced density matrix for the J-V model, as well as its post-quench dynamics. We include an analysis of the fermionic momentum distribution, showcasing its time evolution after a quantum quench. Our numerical results, extrapolated to the thermodynamic limit, can be compared with field theoretic bosonization in the Tomonaga-Luttinger liquid regime. Excellent agreement is obtained using an interaction cutoff that can be determined uniquely in the ground state.
