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Anderson Photon-Phonon Colocalization in Certain Random Superlattices.

G Arregui1,2, N D Lanzillotti-Kimura3, C M Sotomayor-Torres1,4

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Disordered photonic crystals enable strong light-matter interactions by precisely overlapping optical and mechanical fields. This breakthrough facilitates exploring Anderson localization of high-frequency phonons via cavity optomechanics.

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Area of Science:

  • Quantum Optics and Cavity Optomechanics
  • Condensed Matter Physics
  • Nanoscale Photonics and Phononics

Background:

  • Optomechanical systems are crucial for fundamental physics, from gravitational wave detection to quantum ground state cooling.
  • Engineering light-matter interaction typically requires optimizing spatial overlap between optical and mechanical fields in resonators.
  • Disorder offers an alternative for nanoscale light and sound confinement but lacks guaranteed colocalization due to complex interference.

Purpose of the Study:

  • To propose a novel strategy for achieving high colocalization of optical and mechanical fields using geometrical disorder.
  • To investigate the potential of GaAs/AlAs distributed Bragg reflectors with embedded disorder for enhanced light-matter interaction.
  • To explore Anderson localization of high-frequency phonons enabled by cavity optomechanics in such disordered systems.

Main Methods:

  • Utilized GaAs/AlAs vertical distributed Bragg reflectors with embedded geometrical disorder.
  • Leveraged a physical parameter coincidence between GaAs and AlAs for light and acoustic wave propagation.
  • Analyzed the equivalence of equations for longitudinal acoustic waves and normal-incidence light at specific wavelengths.

Main Results:

  • Demonstrated guaranteed spatial overlap between electromagnetic and displacement fields for specific photon-phonon pairs.
  • Observed a statistical enhancement in the vacuum optomechanical coupling rate (g₀).
  • Identified the system as a promising platform for exploring Anderson localization of high-frequency (∼20 GHz) phonons.

Conclusions:

  • The proposed disordered photonic structure effectively achieves colocalization of optical and mechanical fields.
  • This colocalization leads to strong light-matter interaction and enhanced optomechanical coupling.
  • The findings open new avenues for exploring Anderson localization phenomena and engineering light-matter interactions via localized states.