Hidden timescale in the response of harmonically driven chaotic systems

Christine Khripkov; Amichay Vardi; Doron Cohen

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arXiv · 1603.06193

Hidden timescale in the response of harmonically driven chaotic systems

Christine Khripkov·Amichay Vardi·Doron Cohen

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Abstract

Linear response theory relates the response of a system to the power-spectrum of its fluctuations. However, the response to external driving in realistic models exhibits a pronounced non-linear blurring of the spectral line-shape. Considering a driven Bose-Hubbard trimer model we figure out what is the hidden time scale that controls this smearing effect. Contrary to conventional wisdom, the Fermi-golden-rule picture fails miserably in predicting the non-linear width of the transitions. Instead, if the system has a classical limit, the determination of the hidden time scale requires taking into account the underlying classical phase-space dynamics.

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Christine Khripkov, Amichay Vardi, Doron Cohen. 2016-03-20. Hidden timescale in the response of harmonically driven chaotic systems. https://arxiv.org/abs/1603.06193

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