Third-order spontaneous parametric down-conversion in thin optical fibers as a photon-triplet source

Abstract

We study the third-order spontaneous parametric downconversion (TOSDPC) process, as a means to generate entangled photon triplets. Specifically, we consider thin optical fibers as the nonlinear medium to be used as the basis for TOSPDC, in configurations where phasematching is attained through the use of different fiber transverse modes. Our analysis in this paper, which follows from our earlier paper Opt. Lett. 36, 190-192 (2011), aims to supply experimentalists with the details required in order to design a TOSPDC photon-triplet source. Specifically, our analysis focuses on the photon triplet state, on the rate of emission, and on the TOSPDC phasematching characteristics, for the cases of frequency-degenerate and frequency non-degenerate TOSPDC.In this paper we study the process of third-order spontaneous parametric downconversion (TOSPDC) in opti-arXiv:1307.3261v1 [quant-ph]

Efficient photon triplet generation in integrated nanophotonic waveguides

“…TOSPDC in nano-scale silica fibers was proposed theoretically by Corona et al [24]. The predicted photon triplet generation efficiency in 10-cm long silica fibers, ignoring the impact of photon losses, is 1.9 × 10 −2 triplets/s/mW of pump power [24,25], which is comparable to current experimental demonstrations [13,14]. However, silica fibers cannot be easily integrated to produce on-chip photon triplet sources due to incompatibility with CMOS fabrication techniques and low index contrast with commonly-used cladding materials.…”

“…Once phase matching and energy conservation are satisfied for the interacting pump and signal modes, the efficiency of TOSPDC is determined by the effective nonlinearity [24]:…”

“…s dxdy between pump and signal electric field components [24] corresponding to all non-zero susceptibility tensor elements χ (3) i jkl . The electric fields in this calculation are normalized.…”

Three-photon states in phase space

“…It should be noted that the issues of controlling the quantum dynamics through interaction of the system with a periodic sequence of Gaussian laser pulses were recently considered for the schemes of optical parametric oscillator and dissipative anharmonic oscillator in the works [36,38]. The considered cascade scheme could also be implemented in thin nonlinear optical fibers [40] or in semiconductor resonators that contain nonlinear nanostructures [41].…”

Quasi-phase-matched χ(3) -parametric interactions in sinusoidally tapered waveguides

“…For instance: (i) Spontaneous four-wave mixing in waveguides, in which two photons will coalesce to generate two other photons, has been enabled via balancing the waveguide and material dispersion in narrow spectral range near the zero dispersion wavelength, or exploiting the nearly-phase matched range, where the coherence length is much longer than the structure length [9][10][11][12]. (ii) Third-harmonic generation has been enhanced via nonlinear interactions in multimode waveguides [13][14][15], using a hybrid photonic crystal fibre to allow interaction between a pump wave with its third-harmonic, both in the fundamental mode [16], or exploiting slow-light effect introduced by photonic crystals [17].…”