Quantum theory of transmission line resonator-assisted cooling of a micromechanical resonator

Micromechanical Resonator Oscillator

A 10-MHz series resonant micromechanical resonator oscil-lator has been demonstrated using a custom-designed, single-stage, zero-phase-shift sustaining amplifier together with a clamped-clamped beam micromechanical resonator, designed with a relatively large width of 40 µm to achieve substantially lower series motional resistance R x and higher power handling than previous such devices. Using a...

CMOS Micromechanical Resonator Oscillator

A completely monolithic high-Q oscillator, fabricated via a combined CMOS plus surface micromachining technology, is described, for which the oscillation frequency is controlled by a polysilicon micromechanical resonator to achieve stability and phase noise performance comparable to those of quartz crystal oscillators. It is shown that the closed-loop, steady-state oscillation amplitude of this...

Excitation, detection, and passive cooling of a micromechanical cantilever using near-field of a microwave resonator

Quality factor of a transmission line coupled coplanar waveguide resonator

We investigate analytically the coupling of a coplanar waveguide resonator to a coplanar waveguide feedline. Using a conformal mapping technique we obtain an expression for the characteristic mode impedances and coupling coefficients of an asymmetric multi-conductor transmission line. Leading order terms for the external quality factor and frequency shift are calculated. The obtained analytical...

Feedback cooling of a nanomechanical resonator

Asa Hopkins, Kurt Jacobs, Salman Habib, and Keith Schwab T-8, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125, USA Laboratory for Physical Sciences, College Park, Maryland 20740, USA ~Received 25 February 2003; revised manuscript received 2 July 2003;...