dorsal/arxiv
View SchemaFundamental Aspects of Quantum Brownian Motion
| Authors | Peter Hänggi, Gert-Ludwig Ingold |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412052 |
| URL | https://arxiv.org/abs/quant-ph/0412052 |
| DOI | 10.1063/1.1853631 |
| Journal | Chaos 15, 026105 (2005) |
Abstract
With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must hold for open, dissipative quantum systems in thermal equilibrium. The issue of quantum dissipation is exemplified with the fundamental problem of a damped harmonic quantum oscillator. The role of quantum fluctuations is discussed in the context of both, the nonlinear generalized quantum Langevin equation and the path integral approach. We discuss the consequences of the time-reversal symmetry for an open dissipative quantum dynamics and, furthermore, point to a series of subtleties and possible pitfalls. The path integral methodology is applied to the decay of metastable states assisted by quantum Brownian noise.
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"abstract": "With this work we elaborate on the physics of quantum noise in thermal\nequilibrium and in stationary non-equilibrium. Starting out from the celebrated\nquantum fluctuation-dissipation theorem we discuss some important consequences\nthat must hold for open, dissipative quantum systems in thermal equilibrium.\nThe issue of quantum dissipation is exemplified with the fundamental problem of\na damped harmonic quantum oscillator. The role of quantum fluctuations is\ndiscussed in the context of both, the nonlinear generalized quantum Langevin\nequation and the path integral approach. We discuss the consequences of the\ntime-reversal symmetry for an open dissipative quantum dynamics and,\nfurthermore, point to a series of subtleties and possible pitfalls. The path\nintegral methodology is applied to the decay of metastable states assisted by\nquantum Brownian noise.",
"arxiv_id": "quant-ph/0412052",
"authors": [
"Peter H\u00e4nggi",
"Gert-Ludwig Ingold"
],
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"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1063/1.1853631",
"journal_ref": "Chaos 15, 026105 (2005)",
"title": "Fundamental Aspects of Quantum Brownian Motion",
"url": "https://arxiv.org/abs/quant-ph/0412052"
},
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