Propagating pendulum beams to simulate the quantum-pendulum time evolution

Valeria Rodríguez-Fajardo; Thao Nguyen; Enrique J. Galvez

doi:10.1117/12.2649330

17 March 2023 Propagating pendulum beams to simulate the quantum-pendulum time evolution

Valeria Rodríguez-Fajardo, Thao Nguyen, Enrique J. Galvez

Proceedings Volume PC12436, Complex Light and Optical Forces XVII; PC1243602 (2023) https://doi.org/10.1117/12.2649330
Event: SPIE OPTO, 2023, San Francisco, California, United States

Abstract

Physical analogies are particularly useful to study not easily accessible systems. This is the case of the quantum pendulum, whose evolution in time is not easily observed. Fortunately, its mathematical description is shared by the Pendulum beams, which can be readily created in optical laboratories. We engineered mode superpositions that upon propagation mimic the time evolution of the quantum pendulum. We stablished experimental conditions in which the analogy is valid and present results for several relevant cases, finding excellent agreement between experiment and theoretical predictions. We expect to explore other superpositions to extend our analogy to pendulums with more complex dynamics.

Conference Presentation

Citation Download Citation

Valeria Rodríguez-Fajardo, Thao Nguyen, and Enrique J. Galvez "Propagating pendulum beams to simulate the quantum-pendulum time evolution", Proc. SPIE PC12436, Complex Light and Optical Forces XVII, PC1243602 (17 March 2023); https://doi.org/10.1117/12.2649330

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