From Dirac to Diffusion: Decoherence in Quantum Lattice Gases

dc.creatorLove, Peter J.
dc.creatorBoghosian, Bruce M.
dc.date2005-07-04
dc.date.accessioned2026-07-07T06:13:08Z
dc.date.available2026-07-07T06:13:08Z
dc.descriptionWe describe a model for the interaction of the internal (spin) degree of freedom of a quantum lattice-gas particle with an environmental bath. We impose the constraints that the particle-bath interaction be fixed, while the state of the bath is random, and that the effect of the particle-bath interaction be parity invariant. The condition of parity invariance defines a subgroup of the unitary group of actions on the spin degree of freedom and the bath. We derive a general constraint on the Lie algebra of the unitary group which defines this subgroup, and hence guarantees parity invariance of the particle-bath interaction. We show that generalizing the quantum lattice gas in this way produces a model having both classical and quantum discrete random walks as different limits. We present preliminary simulation results illustrating the intermediate behavior in the presence of weak quantum noise.
dc.descriptionTo appear in QIP
dc.identifierhttps://arxiv.org/abs/quant-ph/0507022
dc.identifierhttp://arxiv.org/abs/quant-ph/0507022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92996
dc.subjectQuantum Physics
dc.titleFrom Dirac to Diffusion: Decoherence in Quantum Lattice Gases
dc.typetext

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