• Corpus ID: 119110338

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

@article{Gevorgyan2014ChaosDT,
  title={Chaos due to parametric excitation: phase space symmetry and photon correlations},
  author={Tigran V. Gevorgyan and Gohar Hovsepyan and Anna R. Shahinyan and G. Y. Kryuchkyan},
  journal={arXiv: Other Condensed Matter},
  year={2014}
}

• T. Gevorgyan, G. Hovsepyan, +1 author G. Kryuchkyan
• Published 29 July 2014
• Physics
• arXiv: Other Condensed Matter

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 Poincar\'e 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.