Quantum Mechanics of Lattice Gas Automatai . One Particle Plane
نویسنده
چکیده
Classical lattice gas automata eeectively simulate physical processes such as diiusion and uid ow (in certain parameter regimes) despite their simplicity at the microscale. Motivated by current interest in quantum computation we recently deened quantum lattice gas automata; in this paper we initiate a project to analyze which physical processes these models can eeectively simulate. Studying the single particle sector of a one dimensional quantum lattice gas we nd discrete analogues of plane waves and wave packets, and then investigate their behaviour in the presence of inhomogeneous potentials.
منابع مشابه
Quantum Mechanics of Lattice Gas Automata I. One Particle Plane Waves and Potentials
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. Stud...
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