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 chir...

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Autores principales:	H. Esat Kondakci, Ayman F. Abouraddy, Bahaa E. A. Saleh
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/0311b637bc574966b61ac06c67c23a00
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spelling	oai:doaj.org-article:0311b637bc574966b61ac06c67c23a002021-12-02T11:53:10ZLattice topology dictates photon statistics10.1038/s41598-017-09236-82045-2322https://doaj.org/article/0311b637bc574966b61ac06c67c23a002017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09236-8https://doaj.org/toc/2045-2322Abstract 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.H. Esat KondakciAyman F. AbouraddyBahaa E. A. SalehNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q H. Esat Kondakci Ayman F. Abouraddy Bahaa E. A. Saleh Lattice topology dictates photon statistics
description	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.
format	article
author	H. Esat Kondakci Ayman F. Abouraddy Bahaa E. A. Saleh
author_facet	H. Esat Kondakci Ayman F. Abouraddy Bahaa E. A. Saleh
author_sort	H. Esat Kondakci
title	Lattice topology dictates photon statistics
title_short	Lattice topology dictates photon statistics
title_full	Lattice topology dictates photon statistics
title_fullStr	Lattice topology dictates photon statistics
title_full_unstemmed	Lattice topology dictates photon statistics
title_sort	lattice topology dictates photon statistics
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/0311b637bc574966b61ac06c67c23a00
work_keys_str_mv	AT hesatkondakci latticetopologydictatesphotonstatistics AT aymanfabouraddy latticetopologydictatesphotonstatistics AT bahaaeasaleh latticetopologydictatesphotonstatistics
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Lattice topology dictates photon statistics

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