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arXiv:1407.7624

Chaos due to parametric excitation: phase space symmetry and photon correlations

T. V. Gevorgyan, G. H. Hovsepyan, A. R. Shahinyan, Gagik Yu. Kryuchkyan

Published Jul 29, 2014• 0 citations
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Abstract

We discuss dissipative chaos showing symmetries in the phase space and nonclassical statistics for a parametrically driven nonlinear Kerr resonator (PDNR). In this system an oscillatory mode is created in the process of degenerate down-conversion of photons under interaction with a train of external Gaussian pulses. For chaotic regime we demonstrate, that the Poincaré section showing a strange attractor, as well as the resonator mode contour plots of the Wigner functions display two-fold symmetry in the phase space. We show that quantum-to-classical correspondence is strongly violated for some chaotic regimes of the PDNR. Considering the second-order correlation function we show that the high-level of photons correlation leading to squeezing in the regular regime strongly decreases if the system transits to the chaotic regime. Thus, observation of the photon-number correlation allows to extract information about the chaotic regime.

DOI
10.48550/arxiv.1407.7624

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