Nonlinear quantum metrology using coupled nanomechanical resonators

Details Nonlinear quantum metrology using coupled nanomechanical resonators Nonlinear quantum metrology using coupled nanomechanical resonators

2008-04-29

arxiv.org/abs/0804.4540v1

New J. Phys. 10 No 12, 125018 (2008).

Physics

Quantum Physics

10 pages, 5 figures, submitted to New Journal of Physics: Special Issue "Mechanical Systems at the Quantum Limit"

Scientific paper

10.1088/1367-2630/10/12/125018

We consider a nanomechanical analogue of a nonlinear interferometer, consisting of two parallel, flexural nanomechanical resonators, each with an intrinsic Duffing nonlinearity and with a switchable beamsplitter-like coupling between them. We calculate the precision with which the strength of the nonlinearity can be estimated and show that it scales as $1/n^{3/2}$, where $n$ is the mean phonon number of the initial state. This result holds even in the presence of dissipation, but assumes the ability to make measurements of the quadrature components of the nanoresonators.

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