Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-03-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
38 pages, 4 figures
Scientific paper
We study the dissipative quantum Duffing oscillator in the deep quantum regime with two different approaches: The first is based on the exact Floquet states of the linear oscillator and the nonlinearity is treated perturbatively. It well describes the nonlinear oscillator dynamics away from resonance. The second, in contrast, is applicable at and in the vicinity of a N-photon resonance and it exploits quasi-degenerate perturbation theory for the nonlinear oscillator in Floquet space. It is perturbative both in driving and nonlinearity. A combination of both approaches yields the possibility to cover the whole range of driving frequencies. As an example we discuss the dissipative dynamics of the Duffing oscillator near and at the one-photon resonance.
grifoni Milena
Vierheilig Carmen
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