Time-evolution methods for matrix-product states
Time-evolution methods for matrix-product states
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DOI：
10.1016/j.aop.2019.167998
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发表时间：
2019-12-01
影响因子：
3
通讯作者：
Hubig, Claudius
中科院分区：
文献类型：
--
作者：
Paeckel, Sebastian;Koehler, Thomas;Hubig, Claudius
矩阵乘积态已成为一维量子多体态表示的事实标准。在过去的几年里，许多新的方法被引入来评估矩阵乘积状态的时间演化。在这里，我们将回顾和总结应用于有限量子系统的这一主题的最新工作。我们将解释和比较可用于构造随时间演化的矩阵乘积态的不同方法，即随时间演化的块抽取法、MPO W-I、W-II方法、整体Krylov方法、局部Krylov方法以及单点和两点依赖时间的变分原理。我们还将把这些方法应用于凝聚态物理中当前问题设置的四个不同的代表性例子。(C)2019年提交人(S)。由爱思唯尔公司出版。
Matrix-product states have become the de facto standard for the representation of one-dimensional quantum many body states. During the last few years, numerous new methods have been introduced to evaluate the time evolution of a matrix-product state. Here, we will review and summarize the recent work on this topic as applied to finite quantum systems. We will explain and compare the different methods available to construct a time-evolved matrix-product state, namely the time-evolving block decimation, the MPO W-I,W-II method, the global Krylov method, the local Krylov method and the one- and two-site time-dependent variational principle. We will also apply these methods to four different representative examples of current problem settings in condensed matter physics. (C) 2019 The Author(s). Published by Elsevier Inc.