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Lattice topology dictates photon statistics.

H Esat Kondakci1, Ayman F Abouraddy2, Bahaa E A Saleh2

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Network topology and chiral symmetry control light propagation. Ring lattice parity dictates photon statistics, switching between super-thermal and sub-thermal with site changes.

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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Wave propagation in disordered systems

Background:

  • Coherent light propagation in disordered networks often leads to randomization and thermalization.
  • Chiral symmetry in lattices introduces unique properties to eigenmodes, such as skew-symmetric pairs with opposite eigenvalues.

Purpose of the Study:

  • To investigate the role of network topology and chiral symmetry in determining the statistical properties of light fields.
  • To explore how lattice parity affects photon statistics in linear versus ring waveguide arrays.

Main Methods:

  • Theoretical analysis of one-dimensional arrays of randomly coupled waveguides.
  • Examination of linear and ring lattice topologies with chiral symmetry.
  • Analysis of field circularity and photon statistics based on lattice parity.

Main Results:

  • Network topology significantly influences emerging field statistics in lattices with chiral symmetry.
  • In ring lattices, photon statistics are dictated by parity, unlike linear lattices where they are insensitive.
  • Switching photon statistics (super-thermal to sub-thermal) is possible in ring lattices by altering the number of sites.

Conclusions:

  • Lattice parity is a critical factor for photon statistics in ring structures with chiral symmetry.
  • The braiding of real and imaginary fields around the lattice determines the observed photon statistics.
  • Ring lattices offer tunable control over light statistics, with parity acting as a key switch.