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Open AccessArticle

Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media

by Qian Kong 1, Huimin Ying 1 and Xi Chen 1,2,*
1
International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China
2
Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 673; https://doi.org/10.3390/e22060673
Received: 9 May 2020 / Revised: 9 June 2020 / Accepted: 15 June 2020 / Published: 17 June 2020
(This article belongs to the Special Issue Shortcuts to Adiabaticity)
In recent years, the concept of “shortcuts to adiabaticity" has been originally proposed to speed up sufficiently slow adiabatic process in various quantum systems without final excitation. Based on the analogy between classical optics and quantum mechanics, we present a study on fast non-adiabatic compression of optical beam propagation in nonlinear gradient refractive-index media by using shortcuts to adiabaticity. We first apply the variational approximation method in nonlinear optics to derive the auxiliary equation for connecting the beam width with the refractive index of the medium. Then, the gradient refractive index is inversely designed through the perfect compression of beam width with the appropriate boundary conditions. Finally, the comparison with conventional adiabatic compression is made, showing the advantage of our shortcuts. View Full-Text
Keywords: shortcuts to adiabaticity; non-adiabatic compression; nonlinear beam propagation shortcuts to adiabaticity; non-adiabatic compression; nonlinear beam propagation
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Kong, Q.; Ying, H.; Chen, X. Shortcuts to Adiabaticity for Optical Beam Propagation in Nonlinear Gradient Refractive-Index Media. Entropy 2020, 22, 673.

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