Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath

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dc.creatorYu, Ting
dc.date2004-02-12
dc.date2004-03-31
dc.date.accessioned2026-07-07T06:30:51Z
dc.date.available2026-07-07T06:30:51Z
dc.descriptionThe interrelationship between the non-Markovian stochastic Schrödinger equations and the corresponding non-Markovian master equations is investigated in the finite temperature regimes. We show that the general finite temperature non-Markovian trajectories can be used to derive the corresponding non-Markovian master equations. A simple, yet important solvable example is the well-known damped harmonic oscillator model in which a harmonic oscillator is coupled to a finite temperature reservoir in the rotating wave approximation. The exact convolutionless master equation for the damped harmonic oscillator is obtained by averaging the quantum trajectories relying upon no assumption of coupling strength or time scale. The master equation derived in this way automatically preserves the positivity, Hermiticity and unity.
dc.description19 pages, typos corrected, references added
dc.identifierhttps://arxiv.org/abs/quant-ph/0402086
dc.identifierhttp://arxiv.org/abs/quant-ph/0402086
dc.identifierPhys. Rev. A 69, 062107 (2004)
dc.identifierdoi:10.1103/PhysRevA.69.062107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98447
dc.subjectQuantum Physics
dc.titleNon-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
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