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RESEARCH PRODUCT
Dissipation and decoherence in Brownian motion
John JeffersStephen M. BarnettBruno Bellomosubject
PhysicsHistoryGeometric Brownian motionFractional Brownian motionBrownian excursionHeavy traffic approximationComputer Science ApplicationsEducationClassical mechanicsReflected Brownian motionDiffusion processMaster equationFokker–Planck equationStatistical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-05-01 | Journal of Physics: Conference Series |