标题： 淬火光谱学用于耗散和(非)厄米量子格点模型 显示英文标题

标题： Quench Spectroscopy for Dissipative and (Non)-Hermitian Quantum Lattice Models

摘要： 我们通过分别研究开放的玻色-哈伯德链和非厄米横向场伊辛链，将淬火光谱方法扩展到耗散和孤立的非厄米量子格点模型。 我们首先通过运动方程方法，理论上研究了在突然全局淬火作用下，由耗散和排斥相互作用引起的超流相中开放玻色-哈伯德链的动力学。 使用相同的分析方法，我们随后通过考虑非厄米横向场伊辛链在顺磁相中的突然全局淬火动力学，探讨了淬火光谱法在非厄米量子格点模型中的适用性。 最后，我们将这种光谱方法推广到由二次费米子或玻色子哈密顿量表征的孤立厄米量子格点模型。 为此，我们考虑了后者一维格点模型的厄米版本的案例研究。 对于这种情况，我们分别对玻色子和费米子重新表述进行了分析研究，同时针对每种情况考虑了运动方程和准粒子理论方法。 显示英文摘要

摘要： We extend the quench spectroscopy method to dissipative and isolated non-Hermitian quantum lattice models via the case study of the open Bose-Hubbard chain and the non-Hermitian transverse-field Ising chain respectively. We first investigate theoretically the dynamics of the open Bose-Hubbard chain confined in the superfluid phase induced by a sudden global quench on the dissipations and the repulsive interactions using the equation-of-motion approach. Using the same analytical approach, we then discuss the applicability of the quench spectroscopy to non-Hermitian quantum lattice models by considering the sudden global quench dynamics of the non-Hermitian transverse-field Ising chain confined in the paramagnetic phase. We finally generalize this spectroscopy method to isolated Hermitian quantum lattice models characterized by a quadratic fermionic or bosonic Hamiltonian. For this purpose, we consider the case study of the Hermitian version of the latter one-dimensional lattice model. The investigation is performed analytically for the bosonic and fermionic reformulations while considering for each case the equation-of-motion and quasiparticle theoretical approaches.