Haimi Nguyen, Nathan Ng, Lachlan P. Lindoy, Gunhee Park, Andrew J. Millis, Garnet Kin-Lic Chan, David R. Reichman
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引用次数: 0
摘要
我们研究了影响函数(IFs)的矩阵乘积状态(MPS)表示法在计算开放量子系统的实时平衡相关函数中的应用。我们特别关注无偏自旋玻色子模型,探索如何使用 IF-MPS 进行复杂时间传播,以及如何使用 IF-MPS 构建稳态相关函数。我们研究了三种不同的 IF 方法:一种基于 Kadanoff-Baym 等值线,以所有时间的相关函数为目标;一种基于复杂等值线,以单个时间的相关函数为目标;还有一种稳态表述,避免虚时间或复杂时间,同时提供所有时间的相关函数。我们表明,在 IF 语言中,稳态表述为评估平衡相关函数提供了一种强大的方法。
Correlation functions from tensor network influence functionals: The case of the spin-boson model
We investigate the application of matrix product state (MPS) representations of the influence functionals (IFs) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff–Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation, which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions.