Rapid cooling of a strain-coupled oscillator by optical phaseshift measurement

Abstract

We consider an optical probe that interacts with an ensemble of rare earth ions doping a materialin the shape of a cantilever. By optical spectral hole burning, the inhomogeneously broadenedtransition in the ions is prepared to transmit the probe field within a narrow window, but bendingof the cantilever causes strain in the material which shifts the ion resonances. The motion of thecantilever may thus be registered by the phase shift of the probe. By continuously measuringthe optical field we induce a rapid reduction of the position and momentum uncertainty of thecantilever. Doing so, the probing extracts entropy and thus effectively cools the thermal state ofmotion towards a known, conditional oscillatory motion with strongly reduced thermal fluctuations.Moreover, as the optical probe provides a force on the resonator proportional to its intensity, it ispossible to exploit the phase shift measurements in order to create an active feedback loop, whicheliminates the thermal fluctuations of the resonator. We describe this system theoretically, andprovide numerical simulations which demonstrate the rapid reduction in resonator position andmomentum uncertainty, as well as the implementation of the active cooling protocol.

References in corpus (20)

• Cavity Optomechanics
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Continuous variable quantum information: Gaussian states and beyond
• The characterization of Gaussian operations and Distillation of Gaussian States
• Measurement-based quantum control of mechanical motion
• Gaussian transformations and distillation of entangled Gaussian states
• Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
• Quantum feedback control and classical control theory
• Resolved sidebands in a strain-coupled hybrid spin-oscillator system
• Strain-mediated coupling in a quantum dot-mechanical oscillator hybrid system
• Cooling-by-measurement and mechanical state tomography via pulsed optomechanics
• Past quantum states
• Frequency-stabilization to 6x10^-16 via spectral-hole burning
• Optimal state estimation for cavity optomechanical systems
• Observing and Verifying the Quantum Trajectory of a Mechanical Resonator
• Entanglement-enhanced time-continuous quantum control in optomechanics
• Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous time limit and state-variable approach to phase-locked loop design
• Prediction and retrodiction with continuously monitored Gaussian states
• Dissipative vs dispersive coupling in quantum opto-mechanics: squeezing ability and stability
• Quantum State Smoothing for Linear Gaussian Systems

Cited by in corpus (12)

• Mechanical tunability of an ultra-narrow spectral feature with uniaxial stress
• Double-heterodyne probing for ultra-stable laser based on spectral hole burning in a rare-earth doped crystal
• Inhomogeneous response of an ion ensemble from mechanical stress
• Single-shot non-Gaussian Measurements for Optical Phase Estimation
• Precision measurements of electric-field-induced frequency displacements of an ultranarrow optical transition in ions in a solid
• Multi-mode Heterodyne Laser Interferometry Realized via Software Defined Radio
• Anomalous sub-kelvin thermal frequency shifts of ultra narrow-linewidth solid state emitters
• First-order thermal insensitivity of the frequency of a narrow spectral hole in a crystal
• Microscale crystalline rare-earth doped resonators for strain-coupled optomechanics
• Thermal-noise Limits to the Frequency Stability of Burned Spectral Holes
• Position- and momentum-squeezed quantum states in micro-scale mechanical resonators
• From Heat Capacity to Coherence in Ultra-Narrow-Linewidth Solid-State Optical Emitters at Sub-Kelvin Temperatures