The Langevin Equation for a Quantum Heat Bath

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dc.creatorAttal, S.
dc.creatorJoye, A.
dc.date2006-12-17
dc.date.accessioned2026-07-07T07:35:58Z
dc.date.available2026-07-07T07:35:58Z
dc.descriptionWe compute the quantum Langevin equation (or quantum stochastic differential equation) representing the action of a quantum heat bath at thermal equilibrium on a simple quantum system. These equations are obtained by taking the continuous limit of the Hamiltonian description for repeated quantum interactions with a sequence of photons at a given density matrix state. In particular we specialise these equations to the case of thermal equilibrium states. In the process, new quantum noises are appearing: thermal quantum noises. We discuss the mathematical properties of these thermal quantum noises. We compute the Lindblad generator associated with the action of the heat bath on the small system. We exhibit the typical Lindblad generator that provides thermalization of a given quantum system.
dc.descriptionTo appear in J.F.A
dc.identifierhttps://arxiv.org/abs/math-ph/0612055
dc.identifierhttp://arxiv.org/abs/math-ph/0612055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120275
dc.subjectMathematical Physics
dc.subject82C31
dc.titleThe Langevin Equation for a Quantum Heat Bath
dc.typetext

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