2006/02/28 by T. Hashimoto, M. Horibe, A. Hayashi · 2 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/47/015
published as J. Phys. A: Math. Theor. 40 (2007) 14253-14262. · 12 pages, no figures; replaced with version accepted for publication in J. Phys. A, title changed, an example added
openalex publication_date 2007/11/06 · arxiv created 2007/11/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Abstract. 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 ZN ×ZN 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. Stationary quantum Markov process for the Wigner function on a lattice phase space 2 1.