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Diabolical points in multi-scatterer optomechanical systems.

Stefano Chesi1, Ying-Dan Wang2, Jason Twamley3

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Diabolical points in optomechanical systems reveal topological phases from mechanical motion. Optomechanical coupling strength increases with scatterer number, similar to Fabry-Perot resonators.

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Area of Science:

  • Quantum Optics
  • Condensed Matter Physics
  • Optomechanics

Background:

  • Diabolical points arise from accidental degeneracies in energy levels.
  • They are crucial in Berry phase discovery, photonics, chemical dynamics, and materials like graphene.
  • Optomechanical systems with multiple scatterers in optical cavities are relevant to experimental setups.

Purpose of the Study:

  • To investigate diabolical points in a multi-scatterer optomechanical system.
  • To analyze the behavior of optomechanical coupling near diabolical points.
  • To demonstrate the emergence of topological phases through mechanical motion.

Main Methods:

  • Analysis of an optomechanical system with multiple scatterers and periodic boundary conditions.
  • Investigation of the analyticity of optomechanical coupling near diabolical points.
  • Introduction of a minimal quantum model for diabolical points.

Main Results:

  • Optomechanical coupling becomes non-analytic near diabolical points.
  • Topological phases are demonstrated to arise from mechanical motion.
  • Optomechanical coupling strength scales with the number of scatterers, analogous to Fabry-Perot resonators.

Conclusions:

  • Diabolical points in optomechanical systems exhibit unique coupling behaviors.
  • The study reveals a connection between optomechanical diabolical points and quantum spin dynamics.
  • Findings offer insights into novel materials and quantum phenomena.