Document Type

Article

Publication Date

7-18-2007

Publication Title

Physical Review B - Condensed Matter and Materials Physics

Abstract

We provide a quantum analysis of a dc SQUID mechanical displacement detector within the subcritical Josephson current regime. A segment of the SQUID loop forms the mechanical resonator and motion of the latter is transduced inductively through changes in the flux threading the loop. Expressions are derived for the detector signal response and noise, which are used to evaluate the position and force detection sensitivity. We also investigate cooling of the mechanical resonator due to detector back reaction.

DOI

10.1103/PhysRevB.76.014511

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