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European Quantum Electronics Conference (EQEC)

Scaling laws for dynamical hysteresis in a multidimensional optical bistability model

H. J. C. van der Linden, Angela Hohl, Rajarshi Roy

Published Aug 24, 2005• 0 citations
Publisher
DOI
10.1109/eqec.1994.698189

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We investigate, experimentally and theoretically, the dynamics of a laser-driven cavity with noninstantaneous effective photon-photon interactions. Scanning the laser-cavity frequency detuning at different speeds across an optical bistability, we find a hysteresis area that is a nonmonotonic function of the speed. In the limit of fast scans comparable to the memory time of the interactions, we demonstrate that the hysteresis area decays following a universal power law with scaling exponent -1. We further demonstrate a regime of non-Markovian dynamics emerging from white noise. This regime is evidenced by peaked distributions of residence times in the metastable states of our system. Our results offer new perspectives for exploring the physics of scaling, universality, and metastability, in non-Markovian regimes using arrays of bistable optical cavities with low quality factors, driven by low laser powers, and at room temperature.
We report the first known direct observation of the critical slowing-down effect and transient bimodality in an intrinsic semiconductor all-optically bistable device with a cw CO laser holding beam and a PbSSe diode laser switching beam. The measurements of critical slow-down effects show good agreement with the numerical model using a modified Debye dynamic equation. The switching profile has been shown to depend on both the size of the hysteresis loop and the diode pulse parameter. A scaling law for the delay time of the switching when external parameter P changes close to the critical value Pc has been indicated to fit (P − Pc)−1/2.