Generalized Hermite-Gauss decomposition of the two-photon state produced by spontaneous parametric down conversion

We provide a general decomposition of the two-photon state produced by spontaneous parametric down conversion in Hermite-Gaussian modes, in the case that the pump beam is described by a Hermite-Gaussian beam of any order. We show that the spatial correlations depend explicitly on the order of the pu...

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Veröffentlicht in:	Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-08, Vol.45 (16), p.165502-1-7
Hauptverfasser:	Walborn, S P, Pimentel, A H
Format:	Artikel
Sprache:	eng
Schlagworte:	Beams (radiation) Conversion Correlation Decomposition Entanglement Exact sciences and technology Frequency conversion harmonic generation, including high-order harmonic generation Fundamental areas of phenomenology (including applications) Hermite-Gaussian modes Nonlinear optics Optics Physics Pumps quantum information Spontaneous spontaneous parametric down conversion
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Zusammenfassung:	We provide a general decomposition of the two-photon state produced by spontaneous parametric down conversion in Hermite-Gaussian modes, in the case that the pump beam is described by a Hermite-Gaussian beam of any order. We show that the spatial correlations depend explicitly on the order of the pump beam, as well as other experimental parameters. We use the decomposition to demonstrate a few interesting cases. Our results are applicable to the engineering of two-photon spatial entanglement, in particular for non-Gaussian states.
ISSN:	0953-4075 1361-6455
DOI:	10.1088/0953-4075/45/16/165502