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Appl. Sci. 2017, 7(7), 656; doi:10.3390/app7070656

Higher‐Order Interactions in Quantum Optomechanics: Revisiting Theoretical Foundations

1
School of Electrical Engineering, Sharif University of Technology, P. O. Box 11365‐9363, Tehran, Iran
2
École Polytechnique Fédérale de Lausanne, Lausanne CH‐1015, Switzerland
Received: 15 May 2017 / Revised: 13 June 2017 / Accepted: 23 June 2017 / Published: 24 June 2017
(This article belongs to the Section Optics and Lasers)
View Full-Text   |   Download PDF [322 KB, uploaded 26 June 2017]

Abstract

The theory of quantum optomechanics is reconstructed from first principles by finding a Lagrangian from light’s equation of motion and then proceeding to the Hamiltonian. The nonlinear terms, including the quadratic and higher‐order interactions, do not vanish under any possible choice of canonical parameters, and lead to coupling of momentum and field. The existence of quadratic mechanical parametric interaction is then demonstrated rigorously, which has been so far assumed phenomenologically in previous studies. Corrections to the quadratic terms are particularly significant when the mechanical frequency is of the same order or larger than the electromagnetic frequency. Further discussions on the squeezing as well as relativistic corrections are presented. View Full-Text
Keywords: optomechanics; quantum physics; nonlinear interactions; special relativity optomechanics; quantum physics; nonlinear interactions; special relativity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Khorasani, S. Higher‐Order Interactions in Quantum Optomechanics: Revisiting Theoretical Foundations. Appl. Sci. 2017, 7, 656.

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