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Chaos, Generalized Multistability and Low Frequency Spectra in Quantum Optics

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 3))

Abstract

A crucial problem in non-equilibrium statistical mechanics is that regarding the insurgence of ordered structures starting from a chaotic (maximum entropy) condition, in a system strongly perturbed at its boundary as a quantum optical system. For still higher perturbations, the ordered structures become more and more complex, until reaching deterministic chaos. Some experimental situations for lasers are analyzed. We stress the coexistence of several basins of attraction (generalized multistability) and their coupling by external noise. This coupling induces a low frequency branch in the power spectrum. Comparison is made between the spectra of noise-induced jumps over independent attractors and that of deterministic diffusion within subregions of the same attractor. At the borderline between the two classes of phenomena a scaling law holds, relating the control parameter and the external noise in their effect on the mean escape time from a given stability region.

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© 1985 Springer-Verlag Berlin Heidelberg

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Arecchi, F.T. (1985). Chaos, Generalized Multistability and Low Frequency Spectra in Quantum Optics. In: Claro, F. (eds) Nonlinear Phenomena in Physics. Springer Proceedings in Physics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93289-2_6

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  • DOI: https://doi.org/10.1007/978-3-642-93289-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93291-5

  • Online ISBN: 978-3-642-93289-2

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