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Spectral Entanglement in Parametric Down-Conversion with Nondegenerate Frequencies

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Abstract:

We analyze spectral entanglement of biphoton states in the non-degenerate scheme of spontaneous parametric down conversion. We show that, compared to the case of degenerate central frequencies of single and idler photons, non-degeneracy decreases the degree of entanglement. However, degradation of entanglement is inhomogeneous in dependence on the pump-pulse duration. Non-degeneracy affects first of all and mostly the region of long pump pulses. There is a well defined critical pump-pulse duration τ cr below which entanglement remains as high as in the case of degenerate frequencies. With a growing degree of non-degeneracy, the critical pulse duration τ cr diminishes. In other words, at any given value of the pump-pulse duration, always there is a finite spacing between the signal and idler frequencies |ω (0) 1ω (0) 2|cr up to which a high spectral entanglement, found earlier for the case of degenerate frequencies, remains unchanged. We find that |ω (0) 1ω (0) 2|cr is on the order of the bandwidth of the single-particle spectrum of SPDC with degenerate frequencies.

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/asl.2009.1057

Publication date: December 1, 2009

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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