Markovian master equation for nonlinear systems
O. de los Santos-S\'anchez, J. R\'ecamier, R. J\'auregui
TL;DR
This paper derives a Markovian master equation for nonlinear systems using the f-deformed oscillator formalism, illustrating its application to a Morse-like oscillator and analyzing quantum coherence decay via phase space methods.
Contribution
It introduces a novel Markovian master equation framework for nonlinear systems within the f-deformed oscillator formalism, extending the analysis of quantum dynamics.
Findings
Derived a master equation for nonlinear systems
Applied the model to Morse-like oscillators
Analyzed quantum coherence decay in phase space
Abstract
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.
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