dorsal/arxiv
View SchemaFluctuations and Noise: A General Model with Applications
| Authors | R. F. O'Connell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509058 |
| URL | https://arxiv.org/abs/quant-ph/0509058 |
| DOI | 10.1117/12.608113 |
| Journal | Proc. of SPIE, Vol. 5842, 206 (2005) |
Abstract
A wide variety of dissipative and fluctuation problems involving a quantum system in a heat bath can be described by the independent-oscillator (IO) model Hamiltonian. Using Heisenberg equations of motion, this leads to a generalized quantum Langevin equation (QLE) for the quantum system involving two quantities which encapsulate the properties of the heat bath. Applications include: atomic energy shifts in a blackbody radiation heat bath; solution of the problem of runaway solutions in QED; electrical circuits (resistively shunted Josephson barrier, microscopic tunnel junction, etc.); conductivity calculations (since the QLE gives a natural separation between dissipative and fluctuation forces); dissipative quantum tunneling; noise effects in gravitational wave detectors; anomalous diffusion; strongly driven quantum systems; decoherence phenomena; analysis of Unruh radiation and entropy for a dissipative system.
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"abstract": "A wide variety of dissipative and fluctuation problems involving a quantum\nsystem in a heat bath can be described by the independent-oscillator (IO) model\nHamiltonian. Using Heisenberg equations of motion, this leads to a generalized\nquantum Langevin equation (QLE) for the quantum system involving two quantities\nwhich encapsulate the properties of the heat bath. Applications include: atomic\nenergy shifts in a blackbody radiation heat bath; solution of the problem of\nrunaway solutions in QED; electrical circuits (resistively shunted Josephson\nbarrier, microscopic tunnel junction, etc.); conductivity calculations (since\nthe QLE gives a natural separation between dissipative and fluctuation forces);\ndissipative quantum tunneling; noise effects in gravitational wave detectors;\nanomalous diffusion; strongly driven quantum systems; decoherence phenomena;\nanalysis of Unruh radiation and entropy for a dissipative system.",
"arxiv_id": "quant-ph/0509058",
"authors": [
"R. F. O\u0027Connell"
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"categories": [
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"doi": "10.1117/12.608113",
"journal_ref": "Proc. of SPIE, Vol. 5842, 206 (2005)",
"title": "Fluctuations and Noise: A General Model with Applications",
"url": "https://arxiv.org/abs/quant-ph/0509058"
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