Physics – Condensed Matter – Superconductivity
Scientific paper
2008-06-25
Phys. Rev. B 78, 104516 (2008)
Physics
Condensed Matter
Superconductivity
Scientific paper
10.1103/PhysRevB.78.104516
We carry out a quantum analysis of a dc SQUID mechanical displacement detector, comprising a SQUID with mechanically compliant loop segment, which is embedded in a microwave transmission line resonator. The SQUID is approximated as a nonlinear, current dependent inductance, inducing an external flux tunable, nonlinear Duffing self-interaction term in the microwave resonator mode equation. Motion of the compliant SQUID loop segment is transduced inductively through changes in the external flux threading SQUID loop, giving a ponderomotive, radiation pressure type coupling between the microwave and mechanical resonator modes. Expressions are derived for the detector signal response and noise, and it is found that a soft-spring Duffing self-interaction enables a closer approach to the displacement detection standard quantum limit, as well as cooling closer to the ground state.
Blencowe Miles P.
Buks Eyal
Nation Paul D.
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