Einstein-Podolsky-Rosen correlations in second-harmonic generation

P. Lodahl

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A quantum model for singly resonant second-harmonic generation in a cavity with transverse degrees of freedom is analyzed. An instability threshold for pattern formation exists in this system. Below threshold, a strong modulation of the noise is demonstrated in the transverse structure of the far field. The performed analysis encompasses both one- and two-point correlation functions. The noise in a single far-field point is generally above the classical vacuum noise level. In contrast, strong nonclassical two-point correlations are encountered between opposite emission directions in the far field. For the fundamental field the correlations are shown to be of the Einstein-Podolsky-Rosen type, thus establishing a remarkable analog to the quantum correlations found in a nondegenerate optical parametric oscillator.
Original languageUndefined
Pages (from-to)023806-1-023806-8
Number of pages8
JournalPhysical review A: Atomic, molecular, and optical physics
Issue number2
Publication statusPublished - 2003


  • IR-40626
  • METIS-213019

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