71 citations · 280 across the 32 of their papers we have counts for
8 papers · 1 filter
A higher-order accurate operator splitting spectral method for the Wigner-Poisson system
Zhenzhu Chen, Haiyan Jiang, Sihong Shao
An accurate description of 2-D quantum transport in a double-gate metal oxide semiconductor filed effect transistor (dgMOSFET) requires a high-resolution solver to a coupled system…
Overcoming the numerical sign problem in the Wigner dynamics via adaptive particle annihilation
Yunfeng Xiong, Sihong Shao
The infamous numerical sign problem poses a fundamental obstacle to particle-based stochastic Wigner simulations in high dimensional phase space. Although the existing particle ann…
Numerical methods for the Wigner equation with unbounded potential
Zhenzhu Chen, Yunfeng Xiong, Sihong Shao
Unbounded potentials are always utilized to strictly confine quantum dynamics and generate bound or stationary states due to the existence of quantum tunneling. However, the existe…
The Wigner branching random walk: Efficient implementation and performance evaluation
Yunfeng Xiong, Sihong Shao
To implement the Wigner branching random walk, the particle carrying a signed weight, either or , is more friendly to data storage and arithmetic manipulations than that t…
A computable branching random walk for the many-body Wigner quantum dynamics
Sihong Shao, Yunfeng Xiong
A branching random walk algorithm for the many-body Wigner equation and its numerical applications for quantum dynamics in phase space are proposed and analyzed. After introducing…
An advective-spectral-mixed method for time-dependent many-body Wigner simulations
Yunfeng Xiong, Zhenzhu Chen, Sihong Shao
As a phase space language for quantum mechanics, the Wigner function approach bears a close analogy to classical mechanics and has been drawing growing attention, especially in sim…