2012
DOI: 10.1088/1054-660x/23/1/015201
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Theory of cavity-enhanced spontaneous four wave mixing

Abstract: In this paper we study the generation of photon pairs through the process of spontaneous four wave mixing (SFWM) in a χ (3) cavity. Our key interest is the generation of photon pairs in a guidedwave configuration -fiber or waveguide -where at least one of the photons in a given pair is matched in frequency and bandwidth to a particular atomic transition, as required for the implementation of photon-atom interfaces. We present expressions, along with plots, for the two-photon joint intensity both in the spectra… Show more

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Cited by 28 publications
(16 citation statements)
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“…These devices are typically based on atomic transitions that have linewidths on the order of 10 to 100 MHz [13]. Exploiting optical cavities for the generation of photon pairs allows to reduce the photon pair bandwidth [16,17], eventually matching the quantum memories requirements without the need of narrowband filtering, which typically results in a reduced pair production rate. However, many of the sources based on integrated resonators have so far failed to achieve the narrow linewidths compatible with quantum memories because of their relatively modest Qfactors [6,8,18,19].…”
Section: Introductionmentioning
confidence: 99%
“…These devices are typically based on atomic transitions that have linewidths on the order of 10 to 100 MHz [13]. Exploiting optical cavities for the generation of photon pairs allows to reduce the photon pair bandwidth [16,17], eventually matching the quantum memories requirements without the need of narrowband filtering, which typically results in a reduced pair production rate. However, many of the sources based on integrated resonators have so far failed to achieve the narrow linewidths compatible with quantum memories because of their relatively modest Qfactors [6,8,18,19].…”
Section: Introductionmentioning
confidence: 99%
“…If these sets of functions are non-overlapping, i.e if for any given j the spectral region for which S j (ω) is non-zero does not overlap similarly-defined regions for other j s (and likewise for functions {I j (ω)}), it follows that each set of functions must be orthogonal, and then each {S j (ω), I j (ω)} constitutes a Schmidt mode pair for the overall two-photon state, given as the coherent sum of the various phasematched processes. Note that spectrally non-overlapping Schmidt mode pairs may alternatively be obtained through cavity-enhanced SFWM [22][23][24][25] (or SPDC 26,27 ), for a sufficiently small pump bandwidth.…”
Section: Theory Of Intermodal Sfwmmentioning
confidence: 99%
“…In this section we develop a simple model -inspired by the pictorial representation in [40] -that captures the main consequences of this effect.…”
Section: Appendix: Heralding Efficiency Vis-a-vis Photon Bandwidthmentioning
confidence: 99%