Quantitative analysis of the interaction between a dc SQUID and an integrated micromechanical doubly clamped cantilever

Abstract

Based on the superconducting quantum interference device (SQUID) equations described by the resistively- and capacitively-shunted junction model coupled to the equation of motion of a damped harmonic oscillator, we provide simulations to quantitatively describe the interaction between a dc SQUID and an integrated doubly clamped cantilever. We have chosen to investigate an existing experimental configuration and have explored the motion of the cantilever and the reaction of the SQUID as a function of the voltage-flux $V(\Phi )$ characteristics. We clearly observe the Lorentz force back-action interaction and demonstrate how a sharp transition state drives the system into a nonlinear-like regime, and modulates the cantilever displacement amplitude, simply by tuning the SQUID parameters.

References in corpus (12)

• Circuit cavity electromechanics in the strong coupling regime
• Cavity Optomechanics
• Cooling a nanomechanical resonator with quantum back-action
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Cavity-assisted squeezing of a mechanical oscillator
• Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control
• Quantum analysis of a linear DC SQUID mechanical displacement detector
• Mechanical mode dependence of bolometric back-action in an AFM microlever
• A Josephson radiation comb generator
• Reading, writing and squeezing the entangled states of two nanomechanical resonators coupled to a SQUID
• Non-linear dynamics of a driven nanomechanical single electron transistor
• Multistability of a Josephson parametric amplifier coupled to a mechanical resonator