Journal article ยท Preprint article
Effects of noninstantaneous nonlinear processes on photon-pair generation by spontaneous four-wave mixing
Department of Photonics Engineering, Technical University of Denmark1
Fiber Optics, Devices and Non-linear Effects, Department of Photonics Engineering, Technical University of Denmark2
Centre of Excellence for Silicon Photonics for Optical Communications, Centers, Technical University of Denmark3
We present a general model, based on a Hamiltonian approach, for the joint quantum state of photon pairs generated through pulsed spontaneous four-wave mixing, including nonlinear phase modulation and a finite material response time. For the case of a silica fiber, it is found that the pair-production rate depends weakly on the waveguide temperature, due to higher-order Raman scattering events, and more strongly on pump-pair frequency detuning.
From the analytical model, a numerical scheme is derived, based on the well-known split-step method. This scheme allows computation of joint states where nontrivial effects are included, such as group-velocity dispersion and Raman scattering. In this work, the numerical model is used to study the impact of the noninstantaneous response on the prefiltering purity of heralded single photons.
We find that for pump pulses shorter than 1 ps, a significant detuning-dependent change in quantum-mechanical purity may be observed in silica. This shows that Raman scattering not only introduces noise, but can also drastically change the spectral correlations in photon pairs when pumped with short pulses.
Language: | English |
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Year: | 2017 |
ISSN: | 24699934 , 24699926 , 10941622 and 10502947 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevA.95.043842 |
ORCIDs: | Christensen, Jesper Bjerge and Rottwitt, Karsten |
Atomic and Molecular Physics Four wave mixing Group velocity dispersion Hamiltonian approach Heralded single photons Light and Optics Noninstantaneous response Nonlinear phase modulation Numerical Methods Numerical methods Optical pumping Photon pair generations Photons Quantum Theory Quantum mechanical Quantum theory Raman scattering Silica Spectral correlation Spontaneous four-wave mixing