dorsal/arxiv
View SchemaDensity matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion
| Authors | F. Intravaia, S. Maniscalco, A. Messina |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211196 |
| URL | https://arxiv.org/abs/quant-ph/0211196 |
| DOI | 10.1103/PhysRevA.67.042108 |
| Journal | Phys. Rev. A 67, 042108 (2003) |
Abstract
An original method to exactly solve the non-Markovian Master Equation describing the interaction of a single harmonic oscillator with a quantum environment in the weak coupling limit is reported. By using a superoperatorial approach we succeed in deriving the operatorial solution for the density matrix of the system. Our method is independent of the physical properties of the environment. We show the usefulness of our solution deriving explicit expressions for the dissipative time evolution of some observables of physical interest for the system, such as, for example, its mean energy.
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"abstract": "An original method to exactly solve the non-Markovian Master Equation\ndescribing the interaction of a single harmonic oscillator with a quantum\nenvironment in the weak coupling limit is reported. By using a superoperatorial\napproach we succeed in deriving the operatorial solution for the density matrix\nof the system. Our method is independent of the physical properties of the\nenvironment. We show the usefulness of our solution deriving explicit\nexpressions for the dissipative time evolution of some observables of physical\ninterest for the system, such as, for example, its mean energy.",
"arxiv_id": "quant-ph/0211196",
"authors": [
"F. Intravaia",
"S. Maniscalco",
"A. Messina"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042108",
"journal_ref": "Phys. Rev. A 67, 042108 (2003)",
"title": "Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion",
"url": "https://arxiv.org/abs/quant-ph/0211196"
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