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The dissipative quantum Duffing oscillator: a comparison of Floquet-based approaches

Vierheilig, Carmen ; Grifoni, Milena



Abstract

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 ...

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