2003/06/17 by E. Brambilla, A. Gatti, M. Bache +2 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Computational physics #Diffraction #Field (mathematics) #Geometry #Laser #Mathematics #Near and far field #Optics #Parametric statistics #Phase matching #Physics #Plane (geometry) #Plane wave #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum entanglement #Quantum fluctuation #Quantum mechanics #Quantum optics and atomic interactions #Random lasers and scattering media #Spontaneous parametric down-conversion #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.69.023802
18 pages, 10 figures
arxiv created 2003/06/17 · openalex publication_date 2004/02/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the spatial correlations of quantum fluctuations that can be observed in multimode parametric down-conversion in the regime of high gain. We investigate both a type-I and a type-II phase-matching configuration: in the latter case spatial correlations at the quantum level are shown to exist both in the near-field and in the far-field zones of the down-converted light. In the stationary and plane-wave approximation we treat the problem analytically. A stochastic model is solved numerically to obtain quantitative results beyond this approximation. The finite transverse size and pulse duration of the pump beam and other features of the system, such as spatial walk-off and diffraction are taken into account, and we show that correlations beyond the standard quantum limit exist for values of parameters consistent with realistic experiments.