Vierheilig, Carmen and Grifoni, Milena (2010) The dissipative quantum Duffing oscillator: a comparison of Floquet-based approaches. Chem. Phys. 375, p. 216. (In Press)
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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.
|Date:||23 June 2010|
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni|
|Projects:||SFB 631: Festkörperbasierte Quanteninformationsverarbeitung|
|Subjects:||500 Science > 530 Physics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Yes|
|Deposited On:||12 Mar 2010 14:01|
|Last Modified:||19 Nov 2010 11:45|