18 citations · 57 across the 11 of their papers we have counts for
11 papers
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…
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…
Time-dependent Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime
Bo Lin, Haoxuan Wang, Siyao Yang +1
We develop the time-dependent regularized 13-moment equations for general elastic collision models under the linear regime. Detailed derivation shows the proposed equations have su…
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…
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…
Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
Zhenning Cai, Jianfeng Lu, Siyao Yang
We present fast algorithms for the summation of Dyson series and the inchworm Monte Carlo method for quantum systems that are coupled with harmonic baths. The algorithms are based…
Inclusion-Exclusion Principle for Open Quantum Systems with Bosonic Bath
Siyao Yang, Zhenning Cai, Jianfeng Lu
We present two fast algorithms which apply inclusion-exclusion principle to sum over the bosonic diagrams in bare diagrammatic quantum Monte Carlo (dQMC) and inchworm Monte Carlo m…
Flows Between Parallel Plates: Analytical Solutions of Regularized 13-Moment Equations for Inverse-Power-Law Models
Zhicheng Hu, Siyao Yang, Zhenning Cai
We study the structure of stationary channel flows predicted by the regularized 13-moment equations. Compared with the previous work [P. Taheri et al., Phys. Fluids, 21 (2009), 017…
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth
Zhenning Cai, Jianfeng Lu, Siyao Yang
We consider the numerical analysis of the inchworm Monte Carlo method, which is proposed recently to tackle the numerical sign problem for open quantum systems. We focus on the gro…
Inchworm Monte Carlo method for open quantum systems
Zhenning Cai, Jianfeng Lu, Siyao Yang
We investigate in this work a recently proposed diagrammatic quantum Monte Carlo method --- the inchworm Monte Carlo method --- for open quantum systems. We establish its validity…
Analysis of the Residual Type and the Recovery Type a Posteriori Error Estimators for a Consistent Atomistic-to-Continuum Coupling Method in 1D
Hao Wang, Siyao Yang
We consider the a posteriori error estimation for an atomistic-to-continuum cou- pling scheme for a generic one-dimensional many-body next-nearest-neighbour interaction model in 1D…