Markovian master equation for nonlinear systems

Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular case of a Morse-like oscillator interacting with a thermal fie...

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Bibliographic Details
Published inPhysica scripta Vol. 90; no. 7; pp. 74018 - 12
Main Authors Santos-Sánchez, O de los, Récamier, J, Jáuregui, R
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2015
Subjects
Coherence
decoherence
Dynamical systems
Evolution
Formalism
Markov processes
master equation
Mathematical analysis
Nonlinear dynamics
nonlinear systems
Oscillators
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Summary:Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular case of a Morse-like oscillator interacting with a thermal field is illustrated, and the decay of quantum coherence in such a system is analyzed in terms of the evolution on phase space of its nonlinear coherent states via the Wigner function.
Bibliography:Royal Swedish Academy of Sciences
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ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/90/7/074018