Lattice topology dictates photon statistics.

Abstract:

:Propagation of coherent light through a disordered network is accompanied by randomization and possible conversion into thermal light. Here, we show that network topology plays a decisive role in determining the statistics of the emerging field if the underlying lattice is endowed with chiral symmetry. In such lattices, eigenmode pairs come in skew-symmetric pairs with oppositely signed eigenvalues. By examining one-dimensional arrays of randomly coupled waveguides arranged on linear and ring topologies, we are led to a remarkable prediction: the field circularity and the photon statistics in ring lattices are dictated by its parity while the same quantities are insensitive to the parity of a linear lattice. For a ring lattice, adding or subtracting a single lattice site can switch the photon statistics from super-thermal to sub-thermal, or vice versa. This behavior is understood by examining the real and imaginary fields on a lattice exhibiting chiral symmetry, which form two strands that interleave along the lattice sites. These strands can be fully braided around an even-sited ring lattice thereby producing super-thermal photon statistics, while an odd-sited lattice is incommensurate with such an arrangement and the statistics become sub-thermal.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Kondakci HE,Abouraddy AF,Saleh BEA

doi

10.1038/s41598-017-09236-8

subject

Has Abstract

pub_date

2017-08-21 00:00:00

pages

8948

issue

1

issn

2045-2322

pii

10.1038/s41598-017-09236-8

journal_volume

7

pub_type

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