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 › peer-review

28 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

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Access to Document

10.1103/PhysRevB.78.104516

Fingerprint Dive into the research topics of 'Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector'. Together they form a unique fingerprint.

Cite this

@article{619b03c009a14712bc0bec3a2f15a41c,

title = "Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector",

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.",

author = "Nation, {P. D.} and Blencowe, {M. P.} and E. Buks",

year = "2008",

month = sep,

day = "17",

doi = "10.1103/PhysRevB.78.104516",

language = "English",

volume = "78",

journal = "Physical Review B-Condensed Matter",

issn = "1098-0121",

publisher = "American Institute of Physics",

number = "10",

}

TY - JOUR

T1 - Quantum analysis of a nonlinear microwave cavity-embedded dc SQUID displacement detector

AU - Nation, P. D.

AU - Blencowe, M. P.

AU - Buks, E.

PY - 2008/9/17

Y1 - 2008/9/17

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=52949139467&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52949139467&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.78.104516

DO - 10.1103/PhysRevB.78.104516

M3 - Article

AN - SCOPUS:52949139467

VL - 78

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 10

M1 - 104516

ER -