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

@misc{citeulike:3032595, 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 readout oscillator.}, author = {Santamore, D. H. and Goan, Hsi-Sheng and Milburn, G. J. and Roukes, M. L. }, citeulike-article-id = {3032595}, doi = {http://dx.doi.org/10.1103/PhysRevA.70.052105}, eprint = {quant-ph/0410039}, keywords = {anharmonic-oscillator, cantilever, cavity, cavity-qed, fock-states, opto-mechanics, oscillation, qnd}, month = {Oct}, posted-at = {2008-07-22 12:52:32}, priority = {3}, title = {Anharmonic effects on a phonon number measurement of a quantum mesoscopic mechanical oscillator}, url = {http://dx.doi.org/10.1103/PhysRevA.70.052105}, year = {2004} }

TY - ELEC ID - citeulike:3032595 L3 - citeulike-article-id:3032595 TI - Anharmonic effects on a phonon number measurement of a quantum mesoscopic mechanical oscillator N2 - 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 readout oscillator. KW - anharmonic-oscillator KW - cantilever KW - cavity KW - cavity-qed KW - fock-states KW - opto-mechanics KW - oscillation KW - qnd AU - Santamore, DH AU - Goan, Hsi-Sheng AU - Milburn, GJ AU - Roukes, ML PY - 2004/Oct/05/ UR - http://dx.doi.org/10.1103/PhysRevA.70.052105 ER -