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Optical Kinetic Theory of Nonlinear Multimode Photonic Networks.

Arkady Kurnosov1, Lucas J Fernández-Alcázar2,3, Alba Ramos2,3

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We developed a new theory for multimode nonlinear photonic circuits (MMNPCs) describing nonequilibrium transport. This universal theory covers all regimes, including negative optical temperatures, and offers insights for optical cooling.

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Area of Science:

  • Nonlinear optics
  • Photonic circuits
  • Thermodynamics

Background:

  • Recent advances in multimode nonlinear photonic circuits (MMNPCs) necessitate new theoretical frameworks.
  • Existing theories primarily address equilibrium properties, leaving nonequilibrium transport unaddressed.

Purpose of the Study:

  • To develop a nonequilibrium transport theory for MMNPCs in contact with thermal reservoirs.
  • To establish a universal scaling theory applicable across different transport regimes.

Main Methods:

  • Combined Landauer and kinematics formalisms.
  • Developed a one-parameter scaling theory.

Main Results:

  • The theory describes transport from ballistic to diffusive regimes.
  • Includes scenarios with both positive and negative optical temperatures.
  • Derived a photonic Wiedemann-Franz law relating thermal and power conductivities.

Conclusions:

  • Paves the way for fundamental understanding of MMNPC transport properties.
  • Potential applications in designing all-optical cooling protocols.