Nanomechanical squeezing with detection via a microwave cavity
arXiv:0803.1757 · doi:10.1103/PhysRevA.78.062303
Abstract
We study a parametrically-driven nanomechanical resonator capacitively coupled to a microwave cavity. If the nanoresonator can be cooled to near its quantum ground state then quantum squeezing of a quadrature of the nanoresonator motion becomes feasible. We consider the adiabatic limit in which the cavity mode is slaved to the nanoresonator mode. By driving the cavity on its red-detuned sideband, the squeezing can be coupled into the microwave field at the cavity resonance. The red-detuned sideband drive is also compatible with the goal of ground state cooling. Squeezing of the output microwave field may be inferred using a technique similar to that used to infer squeezing of the field produced by a Josephson parametric amplifier, and subsequently, squeezing of the nanoresonator motion may be inferred. We have calculated the output field microwave squeezing spectra and related this to squeezing of the nanoresonator motion, both at zero and finite temperature. Driving the cavity on the blue-detuned sideband, and on both the blue and red sidebands, have also been considered within the same formalism.
12 pages, 4 figures, largely rewritten, particularly with regard to clarifying the relationship between microwave field and mechanical squeezing
References in corpus (16)
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Phase noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion
- Back-action evasion and squeezing of a mechanical resonator using a cavity detector
- Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator
- Fabrication and characterization of superconducting circuit QED devices for quantum computation
- Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering
- Entangling a nanomechanical resonator and a superconducting microwave cavity
- Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
- Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
- Nonlinear coupling of nano mechanical resonators to Josephson quantum circuits
- Quantum noise in the position measurement of a cavity mirror undergoing Brownian motion
- Prospects for cooling nanomechanical motion by coupling to a superconducting microwave resonator
- Remark on laser linewidth hazard in opto-mechanical cooling
- Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
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- Generation of Arbitrarily Multiple Entangled Fields via Mechanical Oscillator Displacement
- Selective cooling and squeezing in a lossy optomechanical closed loop embodying an exceptional surface
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- Squeezed cooling of mechanical motion beyond the resolved-sideband limit
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