Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector

P. D. Nation, M. P. Blencowe, E. Buks

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26 Citations (Scopus)

Abstract

We carry out a quantum analysis of a dc superconducting quantum interference device (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.

Original languageEnglish
Article number104516
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number10
DOIs
Publication statusPublished - 2008 Sep 17

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ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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