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Anharmonic effects on a phonon-number measurement of a quantum-mesoscopic-mechanical oscillator

Santamore, D. H. and Goan, Hsi-Sheng and Milburn, G. J. and Roukes, M. L. (2004) Anharmonic effects on a phonon-number measurement of a quantum-mesoscopic-mechanical oscillator. Physical Review A, 70 (5). Art. No. 052105. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:SANpra04

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Abstract

We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number in the other measured oscillator. We derive the conditions for this measurement scheme to be quantum limited and find a condition on the size of the anharmonicity. We also derive the relation between the phase diffusion back-action noise due to number measurement and the localization time for the measured system to enter a phonon-number eigenstate. We relate both these time scales to the strength of the measured signal, which is an induced current proportional to the position of the read-out oscillator.


Item Type:Article
Additional Information:©2004 The American Physical Society (Received 22 March 2004; published 12 November 2004) D.H.S. is grateful to the SRC for Quantum Computer Technology at the University of Queensland for their hospitality during her extensive stay and thanks Michael Cross for useful discussions. D.H.S.’s work is supported by DARPA DSO/MOSAIC through Grant No. N00014-02-1-0602 and also supported by the NSF through a grant for the Institute for Theoretical Atomic, Molecular and Optical Physics at Harvard University and Smithsonian Astrophysical Observatory. H.S.G. would like to acknowledge financial support from Hewlett-Packard. arXiv:quant-ph/0410039 v1 5 October 2004
Subject Keywords:quantum theory; transducers; harmonic oscillators; mesoscopic systems; noise
Record Number:CaltechAUTHORS:SANpra04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SANpra04
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.70.052105
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2730
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:24 Apr 2006
Last Modified:26 Dec 2012 08:50

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