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arXiv · 1509.00964

Cross-Kerr nonlinearity: a stability analysis

Roope Sarala·Francesco Massel
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Abstract

We analyse the combined effect of the radiation-pressure and cross-Kerr nonlinearity on the stationary solution of the dynamics of a nanomechanical resonator interacting with an electromagnetic cavity. Within this setup, we show how the optical bistability picture induced by the radiation-pressure force is modified by the presence of the cross-Kerr interaction term. More specifically, we show how the optically bistable region, characterising the pure radiation-pressure case, is reduced by the presence of a cross-Kerr coupling term. At the same time, the upper unstable branch is extended by the presence of a moderate cross-Kerr term, while it is reduced for larger values of the cross-Kerr coupling.

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Roope Sarala, Francesco Massel. 2015-09-03. Cross-Kerr nonlinearity: a stability analysis. https://doi.org/10.1515/nsmmt-2015-0002

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