Optomechanical simulation of a time-dependent parametric oscillator

We explore a finite element model of a standard one-dimensional photonic crystal cavity etched on a nanobeam designed to enhance optomechanical coupling. We theoretically demonstrate that polychromatic driving of the mechanical sidebands produces an effective Hamiltonian model showing optical self-...

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Bibliographic Details
Published in:Physica scripta 2023-11, Vol.98 (11), p.115107
Main Authors: Ventura-Velázquez, C, Maldonado-Villamizar, F H, Jaramillo-Ávila, B R, Onah, F E, Rodríguez-Lara, B M
Format: Article
Language:English
Subjects:
optomechanical
oscillators
parametric
simulations
time-dependent
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Summary:We explore a finite element model of a standard one-dimensional photonic crystal cavity etched on a nanobeam designed to enhance optomechanical coupling. We theoretically demonstrate that polychromatic driving of the mechanical sidebands produces an effective Hamiltonian model showing optical self- and cross-Kerr terms and parametric interaction between the optical and mechanical modes. For the sake of providing an example, we show that bi-chromating driving, near the first and second red-sidebands, produces an analog simulation of a mechanical parametric oscillator that exhibits a squeezed vacuum ground state in the time-independent case, and in the time-dependent case, the evolution of the mechanical ground state produces displaced squeezed vacuum.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/acfd66