Vierheilig, Carmen and Grifoni, Milena (2010) The dissipative quantum Duffing oscillator: A comparison of Floquet-based approaches. CHEMICAL PHYSICS, 375 (2-3). pp. 216-226. ISSN 0301-0104, 1873-4421
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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 an 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 a wide range of driving frequencies. As an example we discuss the dissipative dynamics of the Duffing oscillator near and at the one-photon resonance. (C) 2010 Elsevier B. V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PARTITIONING PERTURBATION THEORY; RYDBERG ATOMS; DRIVEN; FORMALISM; REGIME; SYSTEM; NOISE; Nonlinear quantum oscillator; Floquet theory |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Jul 2020 08:39 |
| Last Modified: | 08 Jul 2020 08:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/24018 |
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