Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials

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dc.creatorGarcia-Palacios, J. L.
dc.creatorZueco, D.
dc.date2004-07-16
dc.date.accessioned2026-07-07T02:59:15Z
dc.date.available2026-07-07T02:59:15Z
dc.descriptionThe continued-fraction method to solve classical Fokker--Planck equations has been adapted to tackle quantum master equations of the Caldeira--Leggett type. This can be done taking advantage of the phase-space (Wigner) representation of the quantum density matrix. The approach differs from those in which some continued-fraction expression is found for a certain quantity, in that the full solution of the master equation is obtained by continued-fraction methods. This allows to study in detail the effects of the environment (fluctuations and dissipation) on several classes of nonlinear quantum systems. We apply the method to the canonical problem of quantum Brownian motion in periodic potentials both for cosine and ratchet potentials (lacking inversion symmetry).
dc.description36 pages, 8 figures. submitted to J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/cond-mat/0407454
dc.identifierhttp://arxiv.org/abs/cond-mat/0407454
dc.identifierJ. Phys. A: Math. Gen. 37 (2004) 10735-10770
dc.identifierdoi:10.1088/0305-4470/37/45/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24439
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleCaldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
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