Geodesic
Numerical solution of Schr\"odinger equation for biphoton wave function in twisted waveguide arrays
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 5, pp. 689-696.

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We consider the generation of entangled biphoton states with orbital-angular-momentum in triangular quadratic waveguide arrays with twisted geometry. For this purpose, we derive the Shrödinger equation for biphoton wave function and equation for pump field profile. We describe numerically the process of biphoton generation through spontaneous four-wave mixing. We suggest that biphoton correlations can be controlled by the amount of twist and pump field profile.
Keywords: entangled states, orbital-angular-momentum, optical vortices, twisted waveguides, spontaneous four-wave mixing. 
@article{NANO_2015_6_5_a9,
     author = {D. N. Vavulin and A. A. Sukhorukov},
     title = {Numerical solution of {Schr\"odinger} equation for biphoton wave function in twisted waveguide arrays},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {689--696},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_5_a9/}
}
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D. N. Vavulin; A. A. Sukhorukov. Numerical solution of Schr\"odinger equation for biphoton wave function in twisted waveguide arrays. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 5, pp. 689-696. http://geodesic.mathdoc.fr/item/NANO_2015_6_5_a9/