6 papers
Implicit Dynamical Tensor Train Approximation for Kinetic Equations with Stiff Fokker--Planck Collisions
Geshuo Wang, Jingwei Hu
Low-rank methods for kinetic equations have attracted increasing attention due to their effectiveness in reducing the high dimensionality of phase space. In our previous work [G. W…
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…
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…
Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation
Geshuo Wang, Siyao Yang, Zhenning Cai
We propose an algorithm that combines the inchworm method and the frozen Gaussian approximation to simulate the Caldeira-Leggett model in which a quantum particle is coupled with t…
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…