dorsal/arxiv
View SchemaThe Functional Derivation of Master Equations
| Authors | Hans-Thomas Elze |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804054 |
| URL | https://arxiv.org/abs/quant-ph/9804054 |
| DOI | 10.1142/S0217732399002340 |
| Journal | Mod. Phys. Lett. A, Vol. 14, No. 32 (1999) pp. 2259-2267 |
Abstract
Master equations describe the quantum dynamics of open systems interacting with an environment. They play an increasingly important role in understanding the emergence of semiclassical behavior and the generation of entropy, both being related to quantum decoherence. Presently we derive the exact master equation for a homogeneous scalar Higgs or inflaton like field coupled to an environment field represented by an infinite set of harmonic oscillators. Our aim is to demonstrate a derivation directly from the path integral representation of the density matrix propagator. Applications and generalizations of this result are discussed.
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"abstract": "Master equations describe the quantum dynamics of open systems interacting\nwith an environment. They play an increasingly important role in understanding\nthe emergence of semiclassical behavior and the generation of entropy, both\nbeing related to quantum decoherence. Presently we derive the exact master\nequation for a homogeneous scalar Higgs or inflaton like field coupled to an\nenvironment field represented by an infinite set of harmonic oscillators. Our\naim is to demonstrate a derivation directly from the path integral\nrepresentation of the density matrix propagator. Applications and\ngeneralizations of this result are discussed.",
"arxiv_id": "quant-ph/9804054",
"authors": [
"Hans-Thomas Elze"
],
"categories": [
"quant-ph",
"gr-qc",
"nucl-th"
],
"doi": "10.1142/S0217732399002340",
"journal_ref": "Mod. Phys. Lett. A, Vol. 14, No. 32 (1999) pp. 2259-2267",
"title": "The Functional Derivation of Master Equations",
"url": "https://arxiv.org/abs/quant-ph/9804054"
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