10 citations · 45 across the 11 of their papers we have counts for
11 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…
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…
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…
Simulation of Spin Chains with off-diagonal Coupling Using Inchworm Method
Yixiao Sun, Geshuo Wang, Zhenning Cai
We study the dynamical simulation of open quantum spin chain with nearest neighboring coupling, where each spin in the chain is associated with a harmonic bath. This is an extensio…
Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method
Geshuo Wang, Zhenning Cai
We study the real-time simulation of open quantum systems, where the system is modeled by a spin chain, with each spin associated with its own harmonic bath. Our method couples the…
Tree-based Implementation of the Small Matrix Path Integral for System-Bath Dynamics
Geshuo Wang, Zhenning Cai
The small matrix path integral (SMatPI) method is an efficient numerical approach to simulate the evolution of a quantum system coupled to a harmonic bath. The method relies on a s…
The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems
Zhenning Cai, Geshuo Wang, Siyao Yang
We present two diagrammatic Monte Carlo methods for quantum systems coupled with harmonic baths, whose dynamics are described by integro-differential equations. The first approach…
Differential Equation Based Path Integral for System-Bath Dynamics
Geshuo Wang, Zhenning Cai
We propose the differential equation based path integral (DEBPI) method to simulate the real-time evolution of open quantum systems. In this method, a system of partial differentia…