Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles
We identify the multiparameter sensitivity of entangled spin states, such as spin-squeezed and Dicke states that are spatially distributed into several addressable spatial modes. Analytical expressions for the spin-squeezing matrix of families of states that are accessible by current atomic experime...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ace1a0 |
| _version_ | 1797748656530522112 |
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| author | Matteo Fadel Benjamin Yadin Yuping Mao Tim Byrnes Manuel Gessner |
| author_facet | Matteo Fadel Benjamin Yadin Yuping Mao Tim Byrnes Manuel Gessner |
| author_sort | Matteo Fadel |
| collection | DOAJ |
| description | We identify the multiparameter sensitivity of entangled spin states, such as spin-squeezed and Dicke states that are spatially distributed into several addressable spatial modes. Analytical expressions for the spin-squeezing matrix of families of states that are accessible by current atomic experiments reveal the quantum gain in multiparameter metrology, as well as the optimal strategies to maximize the sensitivity gain for the estimation of any linear combination of parameters. We further study the mode entanglement of these states by deriving a witness for genuine k -partite mode entanglement from the spin-squeezing matrix. Our results highlight the advantage of mode entanglement for distributed sensing, and outline optimal protocols for multiparameter estimation with nonclassical spatially-distributed spin ensembles. We illustrate our findings with the design of a protocol for gradient sensing with a Bose–Einstein condensate in an entangled spin state in two modes. |
| first_indexed | 2024-03-12T16:07:54Z |
| format | Article |
| id | doaj.art-c87514fbed9b4d1b85c24cd89069c03a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:07:54Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-c87514fbed9b4d1b85c24cd89069c03a2023-08-09T14:16:35ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125707300610.1088/1367-2630/ace1a0Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensemblesMatteo Fadel0https://orcid.org/0000-0003-3653-0030Benjamin Yadin1https://orcid.org/0000-0002-6468-1437Yuping Mao2https://orcid.org/0000-0002-2895-3431Tim Byrnes3Manuel Gessner4https://orcid.org/0000-0003-4203-0366Department of Physics, ETH Zürich , 8093 Zürich, Switzerland; Department of Physics, University of Basel , Klingelbergstrasse 82, 4056 Basel, SwitzerlandNaturwissenschaftlich-Technische Fakultät, Universität Siegen , Walter-Flex-Straße 3, 57068 Siegen, GermanyState Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University , Shanghai 200062, People’s Republic of ChinaState Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University , Shanghai 200062, People’s Republic of China; New York University Shanghai , 567 Westoad, Shanghai 200126, People’s Republic of China; NYU-ECNU Institute of Physics at NYU Shanghai , 3663 Zhongshan Road, Shanghai 200062, People’s Republic of China; Srontiers Science Center of Artificial Intelligence and Deep Learning, 567 West Yangsi Road, Shanghai 200126, People’s Republic of China; Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, New York University Abu Dhabi , Abu Dhabi, United Arab Emirates; Department of Physics, New York University , New York 10003 NY, United States of AmericaDepartament de Física Teòrica, IFIC, Universitat de València , CSIC, C/ Dr Moliner 50, 46100 Burjassot (València), Spain; ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology , Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), SpainWe identify the multiparameter sensitivity of entangled spin states, such as spin-squeezed and Dicke states that are spatially distributed into several addressable spatial modes. Analytical expressions for the spin-squeezing matrix of families of states that are accessible by current atomic experiments reveal the quantum gain in multiparameter metrology, as well as the optimal strategies to maximize the sensitivity gain for the estimation of any linear combination of parameters. We further study the mode entanglement of these states by deriving a witness for genuine k -partite mode entanglement from the spin-squeezing matrix. Our results highlight the advantage of mode entanglement for distributed sensing, and outline optimal protocols for multiparameter estimation with nonclassical spatially-distributed spin ensembles. We illustrate our findings with the design of a protocol for gradient sensing with a Bose–Einstein condensate in an entangled spin state in two modes.https://doi.org/10.1088/1367-2630/ace1a0quantum metrologyBose–Einstein condensatesspin-squeezingFisher information matrixmode and particle entanglement |
| spellingShingle | Matteo Fadel Benjamin Yadin Yuping Mao Tim Byrnes Manuel Gessner Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles New Journal of Physics quantum metrology Bose–Einstein condensates spin-squeezing Fisher information matrix mode and particle entanglement |
| title | Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| title_full | Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| title_fullStr | Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| title_full_unstemmed | Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| title_short | Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| title_sort | multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin ensembles |
| topic | quantum metrology Bose–Einstein condensates spin-squeezing Fisher information matrix mode and particle entanglement |
| url | https://doi.org/10.1088/1367-2630/ace1a0 |
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