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Updated: Jun 4, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Glauber-Fock photonic lattices
Armando Perez-Leija1, Hector Moya-Cessa, Alexander Szameit
1INAOE, Coordinación de Optica, A.P. 51 y 216, 72000 Puebla, Puebla, Mexico. aleija@creol.ucf.edu
Classical analogs of quantum states emerge in photonic lattices with specific coupling laws. Beam dynamics are precisely described and their trajectories examined for realization.
Area of Science:
- Quantum optics
- Photonics
- Classical mechanics
Background:
- Quantum coherent states and displaced Fock states are fundamental in quantum mechanics.
- Photonic lattices offer a platform for simulating complex physical phenomena.
Purpose of the Study:
- To demonstrate the emergence of classical analogs to quantum states in photonic lattices.
- To analyze the beam dynamics and trajectories within these structures.
Main Methods:
- Utilizing one-dimensional semi-infinite photonic lattices.
- Implementing a square root law for coupling coefficients.
- Deriving closed-form solutions for beam dynamics.
Main Results:
- Classical analogs of quantum coherent and displaced Fock states were observed.
- Beam dynamics were described in closed form, independent of excitation site.
- Trajectories of these beams were analyzed and illustrated with examples.
Conclusions:
- The study confirms the possibility of realizing classical analogs of quantum states in engineered photonic systems.
- The findings provide a theoretical framework and practical examples for experimental verification.
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