论文标题
开放量子多体系统中热化的张量网络方法
Tensor-network approach to thermalization in open quantum many-body systems
论文作者
论文摘要
我们通过使用张量 - 网络形式主义研究了热力学极限中开放的不可积分量子多体系统的松弛动力学。我们通过使用均匀矩阵产品运算符（MPO）作为其密度矩阵的ANSATZ来模拟无限系统的Lindblad量子主方程（LQME）。此外，我们建立了一种测量均匀MPO所描述的两个状态之间的热力学等效性的方法。我们从数值上表明，当LQME的初始状态是热吉布斯状态时，在弱衰减和热力学限制下，时间演变的状态与具有时间依赖的有效温度的吉布斯状态总是无法区分的。
We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making use of the uniform matrix product operators (MPO) as the ansatz of their density matrices. Furthermore, we establish a method to measure the thermodynamic equivalence between two states described by the uniform MPOs. We numerically show that when an initial state of the LQME is a thermal Gibbs state, a time evolved state is always indistinguishable from a Gibbs state with a time-dependent effective temperature in the weak-dissipation and thermodynamic limit.
