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Numerical solution of Schrodinger equation for biphoton ¨ wave function in twisted waveguide arrays

https://doi.org/10.17586/2220-8054-2015-6-5-689-696

Abstract

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 Shrodinger 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. 

About the Authors

D. N. Vavulin
ITMO University
Russian Federation

St. Petersburg



A. A. Sukhorukov
Nonlinear Physics Centre, Research School of Physics and Engineering, Australian National University
Australia

Canberra, ACT 2601



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Review

For citations:


Vavulin D.N., Sukhorukov A.A. Numerical solution of Schrodinger equation for biphoton ¨ wave function in twisted waveguide arrays. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(5):689-696. https://doi.org/10.17586/2220-8054-2015-6-5-689-696

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)