From the 2 of 9 linked papers with an AI index.
1 citations · 1 across the 3 of their papers we have counts for
9 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
The paper introduces a low‑rank hierarchical numerical method for solving the non‑Markovian stochastic Schrödinger equation, provides a rigorous convergence analysis, and shows tha…
Reducing Spatial and Temporal Dimensionality in the Multidimensional Caldeira-Leggett Model
Hongfei Zhan, Ernest W. Z. Pan, Zhenning Cai
The paper develops an efficient algorithm for simulating the real-time dynamics of the reduced density matrix in the multidimensional Caldeira‑Leggett model by using low‑rank spati…
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…
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…