dorsal/arxiv
View SchemaNon-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
| Authors | Ting Yu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402086 |
| URL | https://arxiv.org/abs/quant-ph/0402086 |
| DOI | 10.1103/PhysRevA.69.062107 |
| Journal | Phys. Rev. A 69, 062107 (2004) |
Abstract
The interrelationship between the non-Markovian stochastic Schr\"odinger 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.
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"abstract": "The interrelationship between the non-Markovian stochastic Schr\\\"odinger\nequations and the corresponding non-Markovian master equations is investigated\nin the finite temperature regimes. We show that the general finite temperature\nnon-Markovian trajectories can be used to derive the corresponding\nnon-Markovian master equations. A simple, yet important solvable example is the\nwell-known damped harmonic oscillator model in which a harmonic oscillator is\ncoupled to a finite temperature reservoir in the rotating wave approximation.\nThe exact convolutionless master equation for the damped harmonic oscillator is\nobtained by averaging the quantum trajectories relying upon no assumption of\ncoupling strength or time scale. The master equation derived in this way\nautomatically preserves the positivity, Hermiticity and unity.",
"arxiv_id": "quant-ph/0402086",
"authors": [
"Ting Yu"
],
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"doi": "10.1103/PhysRevA.69.062107",
"journal_ref": "Phys. Rev. A 69, 062107 (2004)",
"title": "Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath",
"url": "https://arxiv.org/abs/quant-ph/0402086"
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