Spatial correlations in hexagons generated via a Kerr nonlinearity

Abstract

We consider the hexagonal pattern forming in the cross-section of an optical beam produced by a Kerr cavity, and we study the quantum correlations characterizing this structure. By using arguments related to the symmetry broken by the pattern formation, we identify a complete scenario of six-mode entanglement. Five independent phase quadratures combinations, connecting the hexagonal modes, are shown to exhibit sub-shot-noise fluctuations. By means of a non-linear quantum calculation technique, quantum correlations among the mode photon numbers are demonstrated and calculated.

ReVTeX file, 20 pages, 7 eps figures

Cited by in corpus (5)

• Quantum Dynamics of Kerr Optical Frequency Combs below and above Threshold: Spontaneous Four-Wave-Mixing, Entanglement and Squeezed States of Light
• Quantum squeezing of optical dissipative structures
• Theory of quantum fluctuations of optical dissipative structures and its application to the squeezing properties of bright cavity solitons
• Fluctuations and correlations in hexagonal optical patterns
• Generating multiparticle entangled states by self-organization of driven ultracold atoms