Quantum mechanics of lattice gas automata. I. One particle plane waves and potentials

Details Quantum mechanics of lattice gas automata. I. One particle plane waves and potentials Quantum mechanics of lattice gas automata. I. One particle plane waves and potentials

1996-11-05

arxiv.org/abs/quant-ph/9611005v1

Physics

Quantum Physics

19 pages, plain TeX, 14 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages), two additi

Scientific paper

10.1103/PhysRevE.55.5261

Classical lattice gas automata effectively simulate physical processes such as diffusion and fluid flow (in certain parameter regimes) despite their simplicity at the microscale. Motivated by current interest in quantum computation we recently defined quantum lattice gas automata; in this paper we initiate a project to analyze which physical processes these models can effectively simulate. Studying the single particle sector of a one dimensional quantum lattice gas we find discrete analogues of plane waves and wave packets, and then investigate their behaviour in the presence of inhomogeneous potentials.

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