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Nonlinear Coupling of Nanomechanical Resonators to Josephson Quantum Circuits

Xingxiang Zhou, Ari Mizel

DOI 10.1103/PhysRevLett.97.267201 · Physical Review Letters

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Abstract

We propose a technique to couple the position operator of a nanomechanical resonator to a SQUID device by modulating its magnetic flux bias. By tuning the magnetic field properly, either linear or quadratic couplings can be realized, with a discretely adjustable coupling strength. This provides a way to realize coherent nonlinear effects in a nanomechanical resonator by coupling it to a Josephson quantum circuit. As an example, we show how squeezing of the nanomechanical resonator state can be realized with this technique. We also propose a simple method to measure the uncertainty in the position of the nanomechanical resonator without quantum state tomography.

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