The quantum Allan variance
The instability of an atomic clock is characterized by the Allan variance, a measure widely used to describe the noise of frequency standards. We provide an explicit method to find the ultimate bound on the Allan variance of an atomic clock in the most general scenario where N atoms are prepared in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/8/083035 |
| _version_ | 1827873670407651328 |
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| author | Krzysztof Chabuda Ian D Leroux Rafał Demkowicz-Dobrzański |
| author_facet | Krzysztof Chabuda Ian D Leroux Rafał Demkowicz-Dobrzański |
| author_sort | Krzysztof Chabuda |
| collection | DOAJ |
| description | The instability of an atomic clock is characterized by the Allan variance, a measure widely used to describe the noise of frequency standards. We provide an explicit method to find the ultimate bound on the Allan variance of an atomic clock in the most general scenario where N atoms are prepared in an arbitrarily entangled state and arbitrary measurement and feedback are allowed, including those exploiting coherences between succeeding interrogation steps. While the method is rigorous and general, it becomes numerically challenging for large N and long averaging times. |
| first_indexed | 2024-03-12T16:40:28Z |
| format | Article |
| id | doaj.art-64017f9094954f5d93f7f010f7e3307c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:28Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-64017f9094954f5d93f7f010f7e3307c2023-08-08T14:32:03ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118808303510.1088/1367-2630/18/8/083035The quantum Allan varianceKrzysztof Chabuda0Ian D Leroux1Rafał Demkowicz-Dobrzański2https://orcid.org/0000-0001-5550-4431Faculty of Physics, University of Warsaw , ul. Pasteura 5, 02-093 Warszawa, PolandQUEST Institut, Physikalisch-Technische Bundesanstalt, D-38116 Braunschweig, GermanyFaculty of Physics, University of Warsaw , ul. Pasteura 5, 02-093 Warszawa, PolandThe instability of an atomic clock is characterized by the Allan variance, a measure widely used to describe the noise of frequency standards. We provide an explicit method to find the ultimate bound on the Allan variance of an atomic clock in the most general scenario where N atoms are prepared in an arbitrarily entangled state and arbitrary measurement and feedback are allowed, including those exploiting coherences between succeeding interrogation steps. While the method is rigorous and general, it becomes numerically challenging for large N and long averaging times.https://doi.org/10.1088/1367-2630/18/8/083035quantum metrologyatomic clockAllan varianceBayesian approach03.65.Ta06.30.Ft |
| spellingShingle | Krzysztof Chabuda Ian D Leroux Rafał Demkowicz-Dobrzański The quantum Allan variance New Journal of Physics quantum metrology atomic clock Allan variance Bayesian approach 03.65.Ta 06.30.Ft |
| title | The quantum Allan variance |
| title_full | The quantum Allan variance |
| title_fullStr | The quantum Allan variance |
| title_full_unstemmed | The quantum Allan variance |
| title_short | The quantum Allan variance |
| title_sort | quantum allan variance |
| topic | quantum metrology atomic clock Allan variance Bayesian approach 03.65.Ta 06.30.Ft |
| url | https://doi.org/10.1088/1367-2630/18/8/083035 |
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