Stationary quantum Markov process for the Wigner function

Details Stationary quantum Markov process for the Wigner function Stationary quantum Markov process for the Wigner function

2006-02-28

arxiv.org/abs/quant-ph/0602227v4

J. Phys. A: Math. Theor. 40 (2007) 14253-14262.

Physics

Quantum Physics

12 pages, no figures; replaced with version accepted for publication in J. Phys. A, title changed, an example added

Scientific paper

10.1088/1751-8113/40/47/015

As a stochastic model for quantum mechanics we present a stationary quantum Markov process for the time evolution of the Wigner function on a lattice phase space Z_N x Z_N with N odd. By introducing a phase factor extension to the phase space, each particle can be treated independently. This is an improvement on earlier methods that require the whole distribution function to determine the evolution of a constituent particle. The process has branching and vanishing points, though a finite time interval can be maintained between the branchings. The procedure to perform a simulation using the process is presented.

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