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

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

Research output: Contribution to journalArticle

24 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
Externally publishedYes

Fingerprint

SQUIDs
Microwaves
Detectors
interference
microwaves
cavities
detectors
resonators
Resonators
Microwave resonators
Fluxes
microwave transmission
mechanical devices
signal detectors
radiation pressure
inductance
Inductance
Ground state
transmission lines
Electric lines

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector. / Nation, Paul; Blencowe, M. P.; Buks, E.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 10, 104516, 17.09.2008.

Research output: Contribution to journalArticle

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