Comparing nonlinear optomechanical coupling in membrane-in-the-middle and single-cavity systems

Roel Burgwal, Javier del Pino, Ewold Verhagen (Corresponding author)

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Abstract

In cavity optomechanics, nonlinear interactions between an optical field and a mechanical resonator mode enable a variety of unique effects in classical and quantum measurement and information processing. Here, we describe nonlinear optomechanical coupling in the membrane-in-the-middle (MIM) system in a way that allows direct comparison to the intrinsic optomechanical nonlinearity in a standard, single-cavity optomechanical system. We find that the enhancement of nonlinear optomechanical coupling in the MIM system as predicted by Ludwig et al (2012 Phys. Rev. Lett. 109 063601) is limited to the degree of sideband resolution of the system. Moreover, we show that the selectivity of the MIM system of nonlinear over linear transduction has the same limit as in a single cavity system. These findings put constraints on the experiments in which it is advantageous to use an MIM system. We discuss dynamical backaction effects in this system and find that these effects per cavity photon are exactly as strong as in a single cavity system, while allowing for reduction of the required input power. We propose using the nonlinear enhancement and reduced input power in realistic MIM systems towards parametric squeezing and heralding of phonon pairs, and evaluate the limits to the magnitude of both effects.

Original languageEnglish
Article number113006
Number of pages17
JournalNew Journal of Physics
Volume22
Issue number11
DOIs
Publication statusPublished - Nov 2020

Bibliographical note

Funding Information:
Original content from this work may be used under the terms of the . Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. H2020 European Research Council https://doi.org/10.13039/100010663 starting grant no. 759644-TOPP Nederlandse Organisatie voor Wetenschappelijk Onderzoek https://doi.org/10.13039/501100003246 NWO-Vidi Projectruimte Vrij Programma 680.92.18.04 yes � 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft Creative Commons Attribution 4.0 licence

Funding Information:
We would like to thank Pierre Busi, Andrea Fiore, Simon Gröblacher, Kevin Cognée and Femius Koenderink for valuable discussions. We thank Ilan Shlesinger for critical reading of the manuscript. This work is part of the research programme of the Netherlands Organisation for Scientific Research (NWO). EV acknowledges support from NWO Vidi, Projectruimte, and Vrij Programma (Grant No. 680.92.18.04) Grants, and the European Research Council (ERC Starting Grant No. 759644-TOPP).

Funding

Original content from this work may be used under the terms of the . Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. H2020 European Research Council https://doi.org/10.13039/100010663 starting grant no. 759644-TOPP Nederlandse Organisatie voor Wetenschappelijk Onderzoek https://doi.org/10.13039/501100003246 NWO-Vidi Projectruimte Vrij Programma 680.92.18.04 yes � 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft Creative Commons Attribution 4.0 licence We would like to thank Pierre Busi, Andrea Fiore, Simon Gröblacher, Kevin Cognée and Femius Koenderink for valuable discussions. We thank Ilan Shlesinger for critical reading of the manuscript. This work is part of the research programme of the Netherlands Organisation for Scientific Research (NWO). EV acknowledges support from NWO Vidi, Projectruimte, and Vrij Programma (Grant No. 680.92.18.04) Grants, and the European Research Council (ERC Starting Grant No. 759644-TOPP).

Keywords

  • Dynamical backaction
  • Membrane-in-the-middle
  • Multimode optomechanical system
  • Nonlinear optomechanics
  • Optomechanics
  • Quadratic coupling
  • Quantum measurement

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