Learning the fuzzy phases of small photonic condensates

Phase transitions, being the ultimate manifestation of collective behavior, are typically features of many-particle systems only. Here, we describe the experimental observation of collective behavior in small photonic condensates made up of only a few photons. Moreover, a wide range of both equilibr...

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Main Authors: Rodrigues, JD, Dhar, HS, Walker, BT, Smith, JM, Oulton, RF, Mintert, F, Nyman, RA
Format: Journal article
Language:English
Published: American Physical Society 2021
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author Rodrigues, JD
Dhar, HS
Walker, BT
Smith, JM
Oulton, RF
Mintert, F
Nyman, RA
author_facet Rodrigues, JD
Dhar, HS
Walker, BT
Smith, JM
Oulton, RF
Mintert, F
Nyman, RA
author_sort Rodrigues, JD
collection OXFORD
description Phase transitions, being the ultimate manifestation of collective behavior, are typically features of many-particle systems only. Here, we describe the experimental observation of collective behavior in small photonic condensates made up of only a few photons. Moreover, a wide range of both equilibrium and nonequilibrium regimes, including Bose-Einstein condensation or laserlike emission are identified. However, the small photon number and the presence of large relative fluctuations places major difficulties in identifying different phases and phase transitions. We overcome this limitation by employing unsupervised learning and fuzzy clustering algorithms to systematically construct the fuzzy phase diagram of our small photonic condensate. Our results thus demonstrate the rich and complex phase structure of even small collections of photons, making them an ideal platform to investigate equilibrium and nonequilibrium physics at the few particle level.
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spelling oxford-uuid:b24393f1-5f6d-412e-804a-41920b0613532022-03-27T04:10:37ZLearning the fuzzy phases of small photonic condensatesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b24393f1-5f6d-412e-804a-41920b061353EnglishSymplectic ElementsAmerican Physical Society2021Rodrigues, JDDhar, HSWalker, BTSmith, JMOulton, RFMintert, FNyman, RAPhase transitions, being the ultimate manifestation of collective behavior, are typically features of many-particle systems only. Here, we describe the experimental observation of collective behavior in small photonic condensates made up of only a few photons. Moreover, a wide range of both equilibrium and nonequilibrium regimes, including Bose-Einstein condensation or laserlike emission are identified. However, the small photon number and the presence of large relative fluctuations places major difficulties in identifying different phases and phase transitions. We overcome this limitation by employing unsupervised learning and fuzzy clustering algorithms to systematically construct the fuzzy phase diagram of our small photonic condensate. Our results thus demonstrate the rich and complex phase structure of even small collections of photons, making them an ideal platform to investigate equilibrium and nonequilibrium physics at the few particle level.
spellingShingle Rodrigues, JD
Dhar, HS
Walker, BT
Smith, JM
Oulton, RF
Mintert, F
Nyman, RA
Learning the fuzzy phases of small photonic condensates
title Learning the fuzzy phases of small photonic condensates
title_full Learning the fuzzy phases of small photonic condensates
title_fullStr Learning the fuzzy phases of small photonic condensates
title_full_unstemmed Learning the fuzzy phases of small photonic condensates
title_short Learning the fuzzy phases of small photonic condensates
title_sort learning the fuzzy phases of small photonic condensates
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