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arXiv:1505.06507 · International Journal of Theoretical Physics

Optomechanical Entanglement Between an Ion and an Optical Cavity Field

Aranya B. Bhattacherjee

Published Oct 12, 2015• 5 citations
arXivHTMLPDF
DOI
10.1007/s10773-015-2834-5

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It is presented a scheme for generating entanglement between a moving mirror and the vibrational degree of freedom of a single trapped ion. The system consists of an interferometer with an optomechanical cavity at one arm and a cavity with a single trapped ion at another arm. Because of the radiation pressure, it is possible to entangle the cavity field with the moving mirror at the optomechanical arm and by tuning the cavity field with the internal levels of the ion, it is possible to generate an entangled state comprising the cavity and the ion arm. The cavity fields may be coupled via a beam splitter, making possible to generate entanglement between the moving mirror and the vibrational state of motion of a single trapped ion.
We investigate theoretically an optomechanical system composed of an optical mode and a mechanical mode interacting through first-order coupling and second-order coupling in the presence of a Kerr nonlinear medium. We study how the nonlinearities (second-order optomechanical coupling and Kerr nonlinearity) alter the optical output spectrum, optical quadrature squeezing and optomechanical entanglement. It is shown that the intensity of the output optical spectrum decreases drastically with an increase in second-order optomechanical coupling while it increases significantly with an increase in Kerr nonlinear parameter. More interestingly, by choosing suitable second-order optomechanical coupling and detuning of the optical cavity field, one can achieve strong squeezing of the cavity light field. Further, these nonlinearities play an important role in creating robust optomechanical entanglement between optical and mechanical modes. Hence, the presence of various nonlinearities in the system can be a good platform for achieving the squeezing of light and robust optomechanical entanglement which can be used in realizing better quantum optomechanical devices.