Quantum Brownian motion and the Third Law of thermodynamics

dc.creatorHänggi, Peter
dc.creatorIngold, Gert-Ludwig
dc.date2006-01-10
dc.date.accessioned2026-07-07T07:00:19Z
dc.date.available2026-07-07T07:00:19Z
dc.descriptionThe quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that quantum dissipation helps to ensure the validity of the Third Law. For the quantum oscillator, finite damping replaces the zero-coupling result of an exponential suppression of the specific heat at low temperatures by a power-law behavior. Rather intriguing is the behavior of the free quantum Brownian particle. In this case, quantum dissipation is able to restore the Third Law: Instead of being constant down to zero temperature, the specific heat now vanishes proportional to temperature with an amplitude that is inversely proportional to the ohmic dissipation strength. A distinct subtlety of finite quantum dissipation is the result that the various thermodynamic functions of the sub-system do not only depend on the dissipation strength but depend as well on the prescription employed in their definition.
dc.description15 pages, 1 figure, requires appolb.cls (included)
dc.identifierhttps://arxiv.org/abs/quant-ph/0601056
dc.identifierhttp://arxiv.org/abs/quant-ph/0601056
dc.identifierActa Phys. Pol. B 37, 1537-1550 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108003
dc.subjectQuantum Physics
dc.titleQuantum Brownian motion and the Third Law of thermodynamics
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