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Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators

Santamore, D. H. and Doherty, A. C. and Cross, M. C. (2004) Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators. Physical Review B, 70 (14). Art. No. 144301. ISSN 1098-0121. doi:10.1103/PhysRevB.70.144301.

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We investigate a scheme that makes a quantum nondemolition (QND) measurement of the excitation level of a mesoscopic mechanical oscillator by utilizing the anharmonic coupling between two beam bending modes. The nonlinear coupling between the two modes shifts the resonant frequency of the readout oscillator in proportion to the excitation level of the system oscillator. This frequency shift may be detected as a phase shift of the readout oscillation when driven on resonance. We derive an equation for the reduced density matrix of the system oscillator, and use this to study the conditions under which discrete jumps in the excitation level occur. The appearance of jumps in the actual quantity measured is also studied using the method of quantum trajectories. We consider the feasibility of the scheme for experimentally accessible parameters.

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Additional Information:©2004 The American Physical Society (Received 27 December 2005; accepted 12 January 2006; published online 24 February 2006) We thank Michael Roukes for providing information about the experimental progress in his group. D.H.S. is grateful to Gerard Milburn and Tony Leggett for insightful discussions and thanks the Institute for Quantum Information at Caltech for their hospitality. This work was supported by DARPA DSO/MOSAIC through Grant No. N00014-02-1-0602 and NSF through Grant No. DMR-9873573. D.H.S.’s work is 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. D.H.S. also acknowledges the Weitzman fund for a travel grant. Work by A.C.D. was supported by the NSF through Grant No. EIA-0086083 as part of the Institute for Quantum Information and the Caltech MURI Center for Quantum Networks (DAAD19-00-1-0374).
Subject Keywords:resonance; harmonic oscillators; anharmonic lattice modes; mesoscopic systems
Issue or Number:14
Record Number:CaltechAUTHORS:SANprb04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2728
Deposited By: Archive Administrator
Deposited On:24 Apr 2006
Last Modified:08 Nov 2021 19:50

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