Simulation of the time evolution of the Wigner function with a first-principles Monte Carlo method.
The implementation of Monte Carlo methods acting in the quantum phase space is hindered by the fact that quantum phase-space information is available only through quasiprobability densities. In this work, we present a first-principles Monte Carlo method employing a hidden variables representation. This allows the full quantum time evolution of an arbitrary initial quantum state to be calculated by a classical Monte Carlo algorithm, even for systems subjected to time-dependent potentials. Guidelines for implementing a practical algorithm are presented.
Torres
M S
MS
Departamento de Fisica, Universidade Federal de Minas Gerais, PO Box 702, Belo Horizonte, MG, Brazil. marzojr@fisica.ufmg.br
Tosi
G
G
Figueiredo
J M A
JM
D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D015233:Models, Statistical; D009010:Monte Carlo Method; D011789:Quantum Theory; D012542:Scattering, Radiation