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

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

doi:10.1103/PhysRevB.78.104516

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

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

Department of Physics

Research output: Contribution to journal › Article

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 language	English
Article number	104516
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	78
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevB.78.104516
Publication status	Published - 2008 Sep 17

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ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Cite this

Nation, P. D., Blencowe, M. P., & Buks, E. (2008). Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector. Physical Review B - Condensed Matter and Materials Physics, 78(10), [104516]. https://doi.org/10.1103/PhysRevB.78.104516

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Access to Document

10.1103/PhysRevB.78.104516