Quantum nondemolition measurement of discrete Fock states of a nanomechanical resonatorE. Buks1, E. Segev1, S. Zaitsev1, B. Abdo1 and M. P. Blencowe2
1 Department of Electrical Engineering, Technion - Haifa 32000, Israel
2 Department of Physics and Astronomy, Dartmouth College - Hanover, NH, USA
received 23 August 2007; accepted in final form 24 October 2007; published January 2008
published online 19 November 2007
We study theoretically a radio frequency superconducting interference device integrated with a nanomechanical resonator and an LC resonator. By applying adiabatic and rotating-wave approximations, we obtain an effective Hamiltonian that governs the dynamics of the mechanical and LC resonators. Nonlinear terms in this Hamiltonian can be exploited for performing a quantum nondemolition measurement of Fock states of the nanomechanical resonator. We address the feasibility of experimental implementation and show that the nonlinear coupling can be made sufficiently strong to allow the detection of discrete mechanical Fock states.
03.65.Yz - Decoherence; open systems; quantum statistical methods.
85.25.Dq - Superconducting quantum interference devices (SQUIDs).
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