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Hexapartite entanglement in a CW Optical Parametric Oscillator

F. A. S. Barbosa, A. S. Coelho, Lorenzo Fonseca Martínez, Luis Ortiz-Gutiérrez, Alessandro S. Villar, P. Nussenzveig, M. Martinelli

Published Dec 5, 2017• 0 citations
OpenAlex

Abstract

The optical parametric oscillator (OPO) is a non-linear optical device capable of producing an effective interaction among optical modes with different colors. Up to now, it was believed that only three modes would be involved in the interaction. By developing a new theoretical model to analyze the sideband structure of entanglement, we show that in fact six modes are involved in the stimulated parametric interaction. We experimentally investigate how those modes are entangled to one another, in particular showing that the hexapartite entanglement can be thought of as being generated by a combination of two-mode squeezers and beam splitter Hamiltonians acting on six different colors of light.

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The optical parametric oscillator (OPO) is a non-linear optical device capable of producing an effective interaction among optical modes with different colors. Up to now, it was believed that only three modes would be involved in the interaction. By developing a new theoretical model to analyze the sideband structure of entanglement, we show that in fact six modes are involved in the stimulated parametric interaction. We experimentally investigate how those modes are entangled to one another, in particular showing that the hexapartite entanglement can be thought of as being generated by a combination of two-mode squeezers and beam splitter Hamiltonians acting on six different colors of light.
We demonstrate, theoretically and experimentally, the generation of hexapartite modal entanglement by the optical parametric oscillator (OPO) operating above the oscillation threshold. We show that the OPO generates a rich structure of entanglement among sets of six optical sideband modes interacting through the nonlinear crystal. The class of quantum states thus produced can be controlled by a single parameter, the power of the external laser that pumps the system. Our platform allows for the generation of massive entanglement among many optical modes with well defined but vastly different frequencies, potentially bridging nodes of a multicolor quantum network.
We measure the complete quantum state for six modes of the electromagnetic field produced by an optical parametric oscillator. The investigation involves the sideband of the intense pump, signal, and idler fields generated by stimulated parametric downconversion inside a triply resonant optical resonator. We develop a theoretical model to successfully interpret the experimental results. The model takes into account the coupling of the field modes to the phonon bath of the nonlinear crystal, clearly showing the roles of different physical effects in shaping the structure of the quantum correlations between the six optical modes.
A device to generate polarization-entangled light in the continuous-variable regime is introduced. It consists of an optical parametric oscillator with two type-II phase-matched nonlinear crystals orthogonally oriented, associated with birefringent elements for adjustable linear coupling. We give in this paper a theoretical study of its classical and quantum properties. It is shown that two optical beams with adjustable frequencies and well-defined polarization can be emitted. The Stokes parameters of the two beams are entangled. The principal advantage of this setup is the possibility to directly generate polarization-entangled light without the need of mixing four modes on beamsplitters as required in current experimental setups. This device opens up different directions for the study of light-matter interfaces and a generation of multimode nonclassical light and higher dimensional phase space.