Abstract

This paper develops and presents a three dimensional analysis of recent experimental demonstrations of cavity-cooling of levitated nanoparticles. The authors show that the one dimensional analysis is insufficient and reveal strong hybridization between motions along different spatial axes, as well as sympathetic cooling.

Highlights

  • The coupling of mechanical motion to the optical mode of a cavity permits strong cooling, and ultrasensitive displacement detection, and has led to advances ranging from quantum ground-state cooling of mechanical oscillators [1,2] to detection of gravitational waves by LIGO [3]

  • We have shown that 3D optomechanical displacement sensing can be far from a trivial sum of PSDs associated to the x, y, and zdegrees of freedom

  • coherent scattering (CS) systems have provided the breakthrough that enabled ground-state cooling in levitated nanoparticles: for reliable thermometry one should either avoid or suppress hybridization regimes or do a full 3D analysis

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Summary

INTRODUCTION

The coupling of mechanical motion to the optical mode of a cavity permits strong cooling, and ultrasensitive displacement detection, and has led to advances ranging from quantum ground-state cooling of mechanical oscillators [1,2] to detection of gravitational waves by LIGO [3]. In order to overcome this roadblock, hybrid setups combining, for instance, a tweezer and cavity traps [6,13], or a hybrid electro-optical trap [14,15], or a tweezer and near field of a photonic crystal [16], allowed some progress toward the ultimate goal of quantum ground-state cooling This year, an important breakthrough was the realization that the tweezer trapping light coherently scattered (CS) into an undriven cavity offers major advantages [17,18,19,20,21]: the resulting optomechanical couplings along every axis can be.

TWEEZER-CAVITY SETUP
DIRECT COUPLING TERMS AND HYBRIDIZATION FUNCTION
ANALYSIS OF GROUND-STATE COOLING EXPERIMENTS
SUPPRESSION OF HYBRIDIZATION
CONCLUSIONS
Standard optomechanics QLT
Simplified analysis of the y motion
Findings
Simplified analysis of the x motion
Full Text
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