Quantum-classical analogies in photonic lattices

B. M. Rodríguez-Lara; H. M. Moya-Cessa

doi:10.1364/LAOP.2014.LTu3B.2

Latin America Optics and Photonics Conference
OSA Technical Digest (online) (Optica Publishing Group, 2014),
paper LTu3B.2
•https://doi.org/10.1364/LAOP.2014.LTu3B.2

Quantum-classical analogies in photonic lattices

B. M. Rodríguez-Lara and H. M. Moya-Cessa

Latin America Optics and Photonics Conference 2014

Cancun Mexico
16–21 November 2014
ISBN: 978-1-55752-825-4

From the session
Quantum and Nano Optics, Photonics and Electronics 6 (LTu3B)

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B. M. Rodríguez-Lara and H. M. Moya-Cessa, "Quantum-classical analogies in photonic lattices," in Latin America Optics and Photonics Conference, OSA Technical Digest (online) (Optica Publishing Group, 2014), paper LTu3B.2.

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Abstract

We analyze classical propagation in several configurations of waveguide arrays and, by using Scrhoedinger-like equations, show that these systems may mimic quantum systems such as Lewis-Ermakov systems, SUSY and Majorana dynamics. Such analogies may be achieved because in such photonic arrays, we may properly tune the interaction coefficients in order to engineer specific dynamics (Hamiltonians).

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