Optical Phase Transitions in Photonic Networks: a Spin-System Formulation
We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings. To this end, we have established a connection with the theory of spin networks. The emerging “photonic spins” are complex, soft (their size is not fixed), and their dynamics has two constants of m...
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American Physical Society
2020
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oai:doaj.org-article:4d62e97c7a714d95a037c346f612e20e2021-12-02T12:03:24ZOptical Phase Transitions in Photonic Networks: a Spin-System Formulation10.1103/PhysRevX.10.0310242160-3308https://doaj.org/article/4d62e97c7a714d95a037c346f612e20e2020-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031024http://doi.org/10.1103/PhysRevX.10.031024https://doaj.org/toc/2160-3308We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings. To this end, we have established a connection with the theory of spin networks. The emerging “photonic spins” are complex, soft (their size is not fixed), and their dynamics has two constants of motion. Our analysis sheds light on the nature of the thermal equilibrium states and reveals the existence of optical phase transitions which resemble a paramagnetic to a ferromagnetic and to a spin-glass phase transition occurring in spin networks. We show that, for fixed optical power, these transitions are driven by the type of the network connectivity, its coordination number, and the total energy of the optical signal. In strictly one-dimensional photonic networks we establish a universal one-parameter scaling that dictates the crossover from a (quasi)ferromagnetic phase to a paramagnetic phase.Alba RamosLucas Fernández-AlcázarTsampikos KottosBoris ShapiroAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031024 (2020) |
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Physics QC1-999 |
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Physics QC1-999 Alba Ramos Lucas Fernández-Alcázar Tsampikos Kottos Boris Shapiro Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
description |
We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings. To this end, we have established a connection with the theory of spin networks. The emerging “photonic spins” are complex, soft (their size is not fixed), and their dynamics has two constants of motion. Our analysis sheds light on the nature of the thermal equilibrium states and reveals the existence of optical phase transitions which resemble a paramagnetic to a ferromagnetic and to a spin-glass phase transition occurring in spin networks. We show that, for fixed optical power, these transitions are driven by the type of the network connectivity, its coordination number, and the total energy of the optical signal. In strictly one-dimensional photonic networks we establish a universal one-parameter scaling that dictates the crossover from a (quasi)ferromagnetic phase to a paramagnetic phase. |
format |
article |
author |
Alba Ramos Lucas Fernández-Alcázar Tsampikos Kottos Boris Shapiro |
author_facet |
Alba Ramos Lucas Fernández-Alcázar Tsampikos Kottos Boris Shapiro |
author_sort |
Alba Ramos |
title |
Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
title_short |
Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
title_full |
Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
title_fullStr |
Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
title_full_unstemmed |
Optical Phase Transitions in Photonic Networks: a Spin-System Formulation |
title_sort |
optical phase transitions in photonic networks: a spin-system formulation |
publisher |
American Physical Society |
publishDate |
2020 |
url |
https://doaj.org/article/4d62e97c7a714d95a037c346f612e20e |
work_keys_str_mv |
AT albaramos opticalphasetransitionsinphotonicnetworksaspinsystemformulation AT lucasfernandezalcazar opticalphasetransitionsinphotonicnetworksaspinsystemformulation AT tsampikoskottos opticalphasetransitionsinphotonicnetworksaspinsystemformulation AT borisshapiro opticalphasetransitionsinphotonicnetworksaspinsystemformulation |
_version_ |
1718394745373327360 |