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quant-ph2025
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…
math.NA2025
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…