najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-5-689-696najo-1039Research ArticlePHYSICSФИЗИКАNumerical solution of Schrodinger equation for biphoton ¨ wave function in twisted waveguide arraysVavulinD. N.

St. Petersburg

SukhorukovA. A.

Canberra, ACT 2601

ITMO UniversityRussian FederationNonlinear Physics Centre, Research School of Physics and Engineering, Australian National UniversityAustralia20151508202565689696Copyright © Vavulin D.N., Sukhorukov A.A., 20252025Vavulin D.N., Sukhorukov A.A.Vavulin D.N., Sukhorukov A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1039

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. 

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The authors declare that there are no conflicts of interest present.