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Two-Mode Squeezed States and Entangled States of Two Mechanical Resonators

Fei Xue·Yu-xi Liu·C. P. Sun·Franco Nori
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Abstract

We study a device consisting of a dc-SQUID with two sections of its loop acting as two mechanical resonators. An analog of the parametric down-conversion process in quantum optics can be realized with this device. We show that a two-mode squeezed state can be generated for two overdamped mechanical resonators, where the damping constants of the two mechanical resonators are larger than the coupling strengths between the dc-SQUID and the two mechanical resonators. Thus we show that entangled states of these two mechanical resonators can be generated.

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Fei Xue, Yu-xi Liu, C. P. Sun, Franco Nori. 2007-06-15. Two-Mode Squeezed States and Entangled States of Two Mechanical Resonators. https://doi.org/10.1103/physrevb.76.064305

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