Generic shape of multichromatic resonance peaks
| Autor: | Olivera, María Laura, Casado-Pascual, Jesús, Kohler, Sigmund |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. B 93, 30 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epjb/e2020-100595-0 |
| Popis: | We investigate dissipative dynamical systems under the influence of an external driving with two or more frequencies. Our main quantities of interest are long-time averages of expectation values which turn out to exhibit universal features. In particular, resonance peaks in the vicinity of commensurable frequencies possess a generic enveloping function whose width is inversely proportional to the averaging time. While the universal features can be derived analytically, the transition from the specific short-time behavior to the long-time limit is illustrated for the examples of a classical random walk and a dissipative two-level system both with biharmonic driving. In these models, the dependence of the time-averaged response on the relative phase between the two driving frequencies changes with increasing integration time. For short times, it exhibits the $2\pi$ periodicity of the dynamic equations, while in the long-time limit, the period becomes a fraction of this value. Comment: 8 pages, 6 figures |
| Databáze: | arXiv |
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