Direct entangled triplet-photon sources and methods for their design and fabrication
The present teachings are generally directed to devices and methods for triplet photons generations, and in particular to on-chip integrated sources for generating direct triplet entangled photons.
1. A device for generating triplet photons, comprising:
a substrate exhibiting a linear refractive index equal to or less than about 1.6 for at least one radiation wavelength,
a waveguide disposed on said substrate and extending from a proximal end adapted to receive laser radiation from a pump source at said wavelength, said waveguide comprising a radiation-propagating material exhibiting a linear refractive index equal to or greater than about 1.8 and a third order non-linear refractive index equal to or greater than about 1×10 −19 m 2 /W for said at least one radiation wavelength, said waveguide being configured to provide phase matching between at least one propagating mode of said pump radiation and at least one propagating mode suitable for direct triplet entangled photons generated via nonlinear interaction of the pump radiation with the waveguide, wherein said waveguide has a maximum cross-sectional dimension in a range of about 100 nm to about 2000 nm and a maximum length (L max ) defined by the following relation:
L
max
=
l
n
(
α
p
3
α
s
)
α
p
-
3
α
s
,
wherein α p and α s represent respectively coefficient of absorption plus scattering loss of said waveguide at the pump radiation wavelength and at a wavelength of said at least one propagating mode for the direct triplet entangled photons.
2. The device of claim 1 , wherein said waveguide is substantially transparent to radiation having a wavelength in a range of about 400 nm to about 2000 nm.
3. The device of claim 1 , wherein said waveguide has a thickness in a range of about 100 nm to about 2000 nm.
4. The device of claim 1 , wherein said waveguide comprises a top surface and a bottom surface in contact with the substrate.
5. The device of claim 4 , further comprising a top cladding disposed on said top surface of the waveguide.
6. The device of claim 5 , wherein said top cladding and said substrate are formed of the same material.
7. The device of claim 5 , wherein said top cladding and said substrate are formed of different materials.
8. The device of claim 1 , wherein said waveguide has a non-circular cross-section.
9. The device of claim 8 , wherein said non-circular cross-section comprises any of a rectangular and trapezoidal cross-section.
10. The device of claim 1 , wherein said waveguide is configured to provide a plurality of modes for propagation of said pump laser radiation.
11. The device of claim 10 , wherein said waveguide is configured to provide phase matching between a higher propagating mode of said pump radiation and at least one mode suitable for propagation of direct triplet entangled photons generated via nonlinear interaction of the pump radiation with the waveguide.
12. The device of claim 1 , wherein said waveguide comprises any of TiO 2 , silicon nitride, diamond and silicon carbide.
13. The device of claim 1 , wherein said substrate comprises any of silica, quartz, aluminum oxide, zinc oxide, sapphire and MgF 2 .