5 papers
Ground-state solution of quantum droplets in Bose-Bose mixtures
Wei Liu, Limin Xu
In this paper, we present a systematic study on the ground state computation of quantum droplets in homonuclear Bose-Bose mixtures, governed by the extended Gross-Pitaevskii equati…
Dynamical low-rank approximation for the semiclassical Schrodinger equation with uncertainties
Liu Liu, Limin Xu, Zhenyi Zhu
In this paper, we propose a dynamical low-rank (DLR) approximation framework for solving the semiclassical Schrodinger equation with uncertainties. The primary numerical challenges…
Projection-Based Memory Kernel Coupling Theory for Quantum Dynamics: A Stable Framework for Non-Markovian Simulations
Wei Liu, Rui-Hao Bi, Yu Su +4
We present a projection-based, stability-preserving methodology for computing time correlation functions in open quantum systems governed by generalized quantum master equations wi…
Frozen Gaussian sampling algorithms for simulating Markovian open quantum systems in the semiclassical regime
Limin Xu, Zhen Huang, Zhennan Zhou
Simulating Markovian open quantum systems in the semiclassical regime poses a grand challenge for computational physics, as the highly oscillatory nature of the dynamics imposes pr…
A time-splitting Fourier pseudospectral method for the Wigner(-Poisson)-Fokker-Planck equations
Qian Yi, Limin Xu
In this article, we propose an efficient time-splitting Fourier pseudospectral method for the Wigner(-Poisson)-Fokker-Planck equations. The method achieves second-order accuracy in…