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...
Main Authors: | , , , , , , |
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Format: | Journal article |
Language: | English |
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American Physical Society
2021
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_version_ | 1826291821009960960 |
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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. |
first_indexed | 2024-03-07T03:05:13Z |
format | Journal article |
id | oxford-uuid:b24393f1-5f6d-412e-804a-41920b061353 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T03:05:13Z |
publishDate | 2021 |
publisher | American Physical Society |
record_format | dspace |
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 |
work_keys_str_mv | AT rodriguesjd learningthefuzzyphasesofsmallphotoniccondensates AT dharhs learningthefuzzyphasesofsmallphotoniccondensates AT walkerbt learningthefuzzyphasesofsmallphotoniccondensates AT smithjm learningthefuzzyphasesofsmallphotoniccondensates AT oultonrf learningthefuzzyphasesofsmallphotoniccondensates AT mintertf learningthefuzzyphasesofsmallphotoniccondensates AT nymanra learningthefuzzyphasesofsmallphotoniccondensates |