Abstract

Optical fibers have been considered an optimal platform for third-order parametric down-conversion since they can potentially overcome the weak third-order nonlinearity by their long interaction length. Here we present, in the first part, a theoretical derivation for the conversion rate both in the case of spontaneous generation and in the presence of a seed beam. Then we review three types of optical fibers and we examine their properties in terms of conversion efficiency and practical feasibility.

Highlights

  • Optical fibers have proved to be extremely efficient platforms for generating nonclassical states [1,2,3,4]

  • It is worth noting that dN (ω1, ω2) and dR(ω1, ω2, ω3) have different dimensionality, the former being the number of pairs emitted per pulse and the latter being a rate of triplet emission (Hz) in the cw regime

  • We consider a tapered fiber, which has a high overlap between the two phase matching modes due to their high confinement and whose dispersion can be tuned by changing the gas pressure of the environment [23]

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Summary

INTRODUCTION

Optical fibers have proved to be extremely efficient platforms for generating nonclassical states [1,2,3,4]. Direct generation of photon triplet states via the cubic interaction has been a long-standing goal in the field of quantum optics dating as far back as the 1980s [5,6,7,8,9,10,11,12,13,14,15] The interest for this process, known as third-order parametric down-conversion (TOPDC), is driven by the fact that such an interaction leads to the direct generation of a non-Gaussian state [5]. The output state of these modes in this case is expected to be the same as for the usual two-photon spontaneous parametric down-conversion (SPDC) [19], seeding can be used to study the TOPDC spectral features, similar to the way stimulated emission tomography (SET) [20] is used to characterize SPDC

THEORY
Unseeded TOPDC
Seeded TOPDC
ESTIMATES AND EXPERIMENTAL EVIDENCE
Hybrid fiber
Gas-filled hollow-core fiber
Tapered fiber
Seeding
CONCLUSION
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