Imaging the collective excitations of an ultracold gas using statistical correlations
Advanced data analysis techniques have proved to be crucial for extracting information from noisy images. Here we show that principal component analysis can be successfully applied to ultracold gases to unveil their collective excitations. By analyzing the correlations in a series of images we are a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/12/122001 |
| _version_ | 1827874230974283776 |
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| author | Romain Dubessy Camilla De Rossi Thomas Badr Laurent Longchambon Hélène Perrin |
| author_facet | Romain Dubessy Camilla De Rossi Thomas Badr Laurent Longchambon Hélène Perrin |
| author_sort | Romain Dubessy |
| collection | DOAJ |
| description | Advanced data analysis techniques have proved to be crucial for extracting information from noisy images. Here we show that principal component analysis can be successfully applied to ultracold gases to unveil their collective excitations. By analyzing the correlations in a series of images we are able to identify the collective modes which are excited, determine their population, image their eigenfunction, and measure their frequency. Our method allows us to discriminate the relevant modes from other noise components and is robust with respect to the data sampling procedure. It can be extended to other dynamical systems, including cavity polariton quantum gases and trapped ions. |
| first_indexed | 2024-03-12T16:49:18Z |
| format | Article |
| id | doaj.art-200806820ae34613b0d531ff1d38f8d3 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:18Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-200806820ae34613b0d531ff1d38f8d32023-08-08T11:24:53ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212200110.1088/1367-2630/16/12/122001Imaging the collective excitations of an ultracold gas using statistical correlationsRomain Dubessy0Camilla De Rossi1Thomas Badr2Laurent Longchambon3Hélène Perrin4Laboratoire de physique des lasers, CNRS, Université Paris 13 , Sorbonne Paris Cité, F-93430, Villetaneuse, FranceLaboratoire de physique des lasers, CNRS, Université Paris 13 , Sorbonne Paris Cité, F-93430, Villetaneuse, FranceLaboratoire de physique des lasers, CNRS, Université Paris 13 , Sorbonne Paris Cité, F-93430, Villetaneuse, FranceLaboratoire de physique des lasers, CNRS, Université Paris 13 , Sorbonne Paris Cité, F-93430, Villetaneuse, FranceLaboratoire de physique des lasers, CNRS, Université Paris 13 , Sorbonne Paris Cité, F-93430, Villetaneuse, FranceAdvanced data analysis techniques have proved to be crucial for extracting information from noisy images. Here we show that principal component analysis can be successfully applied to ultracold gases to unveil their collective excitations. By analyzing the correlations in a series of images we are able to identify the collective modes which are excited, determine their population, image their eigenfunction, and measure their frequency. Our method allows us to discriminate the relevant modes from other noise components and is robust with respect to the data sampling procedure. It can be extended to other dynamical systems, including cavity polariton quantum gases and trapped ions.https://doi.org/10.1088/1367-2630/16/12/122001statistical data analysisquantum gasescollective excitationsimage analysisprincipal componentBose–Einstein condensate |
| spellingShingle | Romain Dubessy Camilla De Rossi Thomas Badr Laurent Longchambon Hélène Perrin Imaging the collective excitations of an ultracold gas using statistical correlations New Journal of Physics statistical data analysis quantum gases collective excitations image analysis principal component Bose–Einstein condensate |
| title | Imaging the collective excitations of an ultracold gas using statistical correlations |
| title_full | Imaging the collective excitations of an ultracold gas using statistical correlations |
| title_fullStr | Imaging the collective excitations of an ultracold gas using statistical correlations |
| title_full_unstemmed | Imaging the collective excitations of an ultracold gas using statistical correlations |
| title_short | Imaging the collective excitations of an ultracold gas using statistical correlations |
| title_sort | imaging the collective excitations of an ultracold gas using statistical correlations |
| topic | statistical data analysis quantum gases collective excitations image analysis principal component Bose–Einstein condensate |
| url | https://doi.org/10.1088/1367-2630/16/12/122001 |
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