Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities
Spin squeezing inequalities (SSI) represent a major tool to probe quantum entanglement among a collection of few-level atoms, and are based on collective spin measurements and their fluctuations. Yet, for atomic ensembles of spin-$j$ atoms and ultracold spinor gases, many experiments can image the p...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-12-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2022-12-29-887/pdf/ |
| _version_ | 1797974979809116160 |
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| author | Guillem Müller-Rigat Maciej Lewenstein Irénée Frérot |
| author_facet | Guillem Müller-Rigat Maciej Lewenstein Irénée Frérot |
| author_sort | Guillem Müller-Rigat |
| collection | DOAJ |
| description | Spin squeezing inequalities (SSI) represent a major tool to probe quantum entanglement among a collection of few-level atoms, and are based on collective spin measurements and their fluctuations. Yet, for atomic ensembles of spin-$j$ atoms and ultracold spinor gases, many experiments can image the populations in all Zeeman sublevels $s=-j, -j+1, \dots, j$, potentially revealing finer features of quantum entanglement not captured by SSI. Here we present a systematic approach which exploits Zeeman-sublevel population measurements in order to construct novel entanglement criteria, and illustrate our approach on ground states of spin-1 and spin-2 Bose-Einstein condensates. Beyond these specific examples, our approach allows one to infer, in a systematic manner, the optimal permutationally-invariant entanglement witness for any given set of collective measurements in an ensemble of $d$-level quantum systems. |
| first_indexed | 2024-04-11T04:27:11Z |
| format | Article |
| id | doaj.art-892f05ebbbfc4fd0a50e9d8feeb09145 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-11T04:27:11Z |
| publishDate | 2022-12-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-892f05ebbbfc4fd0a50e9d8feeb091452022-12-29T15:40:12ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-12-01688710.22331/q-2022-12-29-88710.22331/q-2022-12-29-887Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalitiesGuillem Müller-RigatMaciej LewensteinIrénée FrérotSpin squeezing inequalities (SSI) represent a major tool to probe quantum entanglement among a collection of few-level atoms, and are based on collective spin measurements and their fluctuations. Yet, for atomic ensembles of spin-$j$ atoms and ultracold spinor gases, many experiments can image the populations in all Zeeman sublevels $s=-j, -j+1, \dots, j$, potentially revealing finer features of quantum entanglement not captured by SSI. Here we present a systematic approach which exploits Zeeman-sublevel population measurements in order to construct novel entanglement criteria, and illustrate our approach on ground states of spin-1 and spin-2 Bose-Einstein condensates. Beyond these specific examples, our approach allows one to infer, in a systematic manner, the optimal permutationally-invariant entanglement witness for any given set of collective measurements in an ensemble of $d$-level quantum systems.https://quantum-journal.org/papers/q-2022-12-29-887/pdf/ |
| spellingShingle | Guillem Müller-Rigat Maciej Lewenstein Irénée Frérot Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities Quantum |
| title | Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities |
| title_full | Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities |
| title_fullStr | Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities |
| title_full_unstemmed | Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities |
| title_short | Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities |
| title_sort | probing quantum entanglement from magnetic sublevels populations beyond spin squeezing inequalities |
| url | https://quantum-journal.org/papers/q-2022-12-29-887/pdf/ |
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