0000000001085282

AUTHOR

John Jeffers

0000-0002-8573-1675

showing 2 related works from this author

Frictional quantum decoherence

2007

The dynamics associated with a measurement-based master equation for quantum Brownian motion are investigated. A scheme for obtaining time evolution from general initial conditions is derived. This is applied to analyze dissipation and decoherence in the evolution of both a Gaussian and a Schr\"{o}dinger cat initial state. Dependence on the diffusive terms present in the master equation is discussed with reference to both the coordinate and momentum representations.

Statistics and ProbabilityPhysicsQuantum PhysicsQuantum decoherenceGaussianTime evolutionGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsDissipationMomentumsymbols.namesakeClassical mechanicsModeling and SimulationMaster equationsymbolsQuantum Physics (quant-ph)QuantumMathematical PhysicsBrownian motion
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Dissipation and decoherence in Brownian motion

2007

We consider the evolution of a Brownian particle described by a measurement-based master equation. We derive the solution to this equation for general initial conditions and apply it to a Gaussian initial state. We analyse the effects of the diffusive terms, present in the master equation, and describe how these modify uncertainties and coherence length. This allows us to model dissipation and decoherence in quantum Brownian motion.

PhysicsHistoryGeometric Brownian motionFractional Brownian motionBrownian excursionHeavy traffic approximationComputer Science ApplicationsEducationClassical mechanicsReflected Brownian motionDiffusion processMaster equationFokker–Planck equationStatistical physicsJournal of Physics: Conference Series
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