5 citations · 16 across the 11 of their papers we have counts for
11 papers
A General First- and Second-Order Numerical Solver for Non-Markovian Quantum State Diffusion
Zhenning Cai, Quanhui Zhu
The numerical simulation of non-Markovian open quantum systems based on the non-Markovian quantum state diffusion (NMQSD) equation is complicated by functional derivatives with res…
A low-rank hierarchical framework for the non-Markovian stochastic Schrödinger equation with convergence analysis
Zhuohan Zhang, Zhenning Cai
We propose and analyze a novel numerical framework for the non-Markovian stochastic Schrödinger equation (NMSSE) based on a low-rank approximation of the bath correlation functions…
Stability and Convergence of Mixed Finite Elements for Linear Regularized 13-Moment Equations
Shuang Hu, Huiteng Li, Zhenning Cai
We present a stable and convergent mixed finite element method (MFEM) for the linear regularized 13-moment (R13) equations in rarefied gas dynamics. Unlike existing methods that re…
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…
Reducing Spatial and Temporal Dimensionality in the Multidimensional Caldeira-Leggett Model
Hongfei Zhan, Ernest W. Z. Pan, Zhenning Cai
Focusing on the real-time dynamics of the reduced density matrix of the multidimensional Caldeira-Leggett model, several techniques are adopted in this paper to reduce the spatial…
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…
Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
Chen-Chang Zeng, Zhen Cai, Guang-Heng Wang +1
We study the critical behaviors of the ground and first excited states in the one-dimensional nonreciprocal Aubry-Andr{é}-Harper model using both the self-normal and biorthogonal f…
An entropic fourier method for the Boltzmann equation
Zhenning Cai, Yuwei Fan, Lexing Ying
We propose an entropic Fourier method for the numerical discretization of the Boltzmann collision operator. The method, which is obtained by modifying a Fourier Galerkin method to…