论文标题
SU(3)Hubbard模型中的量子淬灭和电荷振荡:与一般非亚伯对称性的时间演化的测试。
Quantum Quench and Charge Oscillations in the SU(3) Hubbard Model: a Test of Time Evolving Block Decimation with general non-Abelian Symmetries
论文作者
论文摘要
我们介绍了非亚伯张量的概念,并使用它们来构建使用任意数量的阿贝尔和非阿贝尔对称性的一般非亚洲时间发展的块拆分(NA-TEBD)方案。我们的方法将基于矩阵状态的计算的速度和存储器存储效率提高了几个幅度,即使在简单的桌面体系结构上也可以使大债券维度访问。我们使用它来研究排斥性SU(3)Hubbard模型中的季后动力学,并有效地确定各种本地操作员的时间演变和相关功能。相互作用将代数电荷松弛变成指数,并迅速抑制相干量子振荡。
We introduce the notion of non-Abelian tensors, and use them to construct a general non-Abelian time evolving block decimation (NA-TEBD) scheme that uses an arbitrary number of Abelian and non-Abelian symmetries. Our approach increases the speed and memory storage efficiency of matrix product state based computations by several orders of magnitudes, and makes large bond dimensions accessible even on simple desktop architectures. We use it to study post-quench dynamics in the repulsive SU(3) Hubbard model, and to determine the time evolution of various local operators and correlation functions efficiently. Interactions turn algebraic charge relaxation into exponential, and suppress coherent quantum oscillations rapidly.