30 citations · 228 across the 45 of their papers we have counts for
45 papers
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…
A positive and moment-preserving Fourier spectral method
Zhenning Cai, Bo Lin, Meixia Lin
This paper presents a novel Fourier spectral method that utilizes optimization techniques to ensure the positivity and conservation of moments in the space of trigonometric polynom…
Moment Methods for the 3D Radiative Transfer Equation Based on -Divergences
Michael R. A. Abdelmalik, Zhenning Cai, Teddy Pichard
The method of moments is widely used for the reduction of kinetic equations into fluid models. It consists in extracting the moments of the kinetic equation with respect to a veloc…
Linear regularized 13-moment equations with Onsager boundary conditions for general gas molecules
Zhenning Cai, Manuel Torrilhon, Siyao Yang
We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is ac…
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…