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Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering

P. Rabl·A. Shnirman·P. Zoller
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Abstract

An experimental demonstration of a non-classical state of a nanomechanical resonator is still an outstanding task. In this paper we show how the resonator can be cooled and driven into a squeezed state by a bichromatic microwave coupling to a charge qubit. The stationary oscillator state exhibits a reduced noise in one of the quadrature components by a factor of 0.5 - 0.2. These values are obtained for a 100 MHz resonator with a Q-value of 10$^4$ to 10$^5$ and for support temperatures of T $\approx$ 25 mK. We show that the coupling to the charge qubit can also be used to detect the squeezed state via measurements of the excited state population. Furthermore, by extending this measurement procedure a complete quantum state tomography of the resonator state can be performed. This provides a universal tool to detect a large variety of different states and to prove the quantum nature of a nanomechanical oscillator.

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P. Rabl, A. Shnirman, P. Zoller. 2004-06-02. Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering. https://doi.org/10.1103/physrevb.70.205304

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