4 papers
Dynamical Tensor Train Approximation for Kinetic Equations
Geshuo Wang, Jingwei Hu
The numerical solution of kinetic equations is challenging due to the high dimensionality of the underlying phase space. In this paper, we develop a dynamical low-rank method based…
Second-order discretization of Dyson series: iterative method, numerical analysis and applications in open quantum systems
Zhenning Cai, Yixiao Sun, Geshuo Wang
We propose a general strategy to discretize the Dyson series without applying direct numerical quadrature to high-dimensional integrals, and extend this framework to open quantum s…
Accelerated Inchworm Method with Tensor-Train Bath Influence Functional
Geshuo Wang, Yixiao Sun, Siyao Yang +1
We propose an efficient tensor-train-based algorithm for simulating open quantum systems with the inchworm method, where the reduced dynamics of the open quantum system is expresse…
Comment on "Unified framework for open quantum dynamics with memory"
Nancy Makri, Sohang Kundu, Zhenning Cai +1
A recent article by Ivander, Lindoy and Lee [Nature Communications 15, 8087 (2024)] claims to discover the relationship between the generalized quantum master equation (GQME) and t…