Abstract

With the purpose of controlling the steady state of a dielectric nanosphere levitated within an optical cavity, we study its conditional dynamics under simultaneous sideband cooling and additional time-continuous measurement of either the output cavity mode or the nanosphere’s position. We find that the average phonon number, purity and quantum squeezing of the steady-states can all be made more non-classical through the addition of time-continuous measurement. We predict that the continuous monitoring of the system, together with Markovian feedback, allows one to stabilize the dynamics for any value of the laser frequency driving the cavity. By considering state of the art values of the experimental parameters, we prove that one can in principle obtain a non-classical (squeezed) steady-state with an average phonon number .

Highlights

  • Bringing physical degrees of freedom to the quantum regime is proving so difficult that quantum control is bound to be a multi-branched endeavour, where techniques developed on different platforms and designed for different aims are blended together

  • By combining these measurements with sideband cooling and Markovian feedback, we address the possibility of both cooling the oscillator towards its ground state and of generating quantum mechanical squeezing, that is sub-vacuum fluctuations, which is a paradigmatic signature of non-classicality useful for quantum metrology and precision sensing [57]

  • Our study explicitly shows the quantum control possibilities offered, in realistic setups, by the combined simultaneous monitoring of scattered as well as coherent cavity light interacting with a levitating dielectric nanosphere

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Summary

14 July 2015

Quantum cooling and squeezing of a levitating nanosphere via timecontinuous measurements Marco G Genoni, Jinglei Zhang, James Millen, Peter F Barker and Alessio Serafini. Cavity, we study its conditional dynamics under simultaneous sideband cooling and additional time-. Any further distribution of this work must maintain continuous measurement of either the output cavity mode or the nanosphere’s position. We find that attribution to the the average phonon number, purity and quantum squeezing of the steady-states can all be made more author(s) and the title of the work, journal citation non-classical through the addition of time-continuous measurement. By considering state of the art values of the experimental parameters, we prove that one can in principle obtain a non-classical (squeezed) steadystate with an average phonon number nph ≈ 0.5

Introduction
Levitating dielectric nanosphere master equation
Time-continuous homodyne measurement of cavity mode and oscillator position
Results for a nanopshere levitated in a high finesse optical cavity
Findings
Summary and conclusions
Full Text
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