Three-outcome multipartite Bell inequalities: applications to dimension witnessing and spin-nematic squeezing in many-body systems
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929390986723328 |
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| author | Müller-Rigat, Guillem Aloy, Albert Lewenstein, Maciej Fadel, Matteo Tura, Jordi |
| author_facet | Müller-Rigat, Guillem Aloy, Albert Lewenstein, Maciej Fadel, Matteo Tura, Jordi |
| contents | We present a three-outcome permutationally-invariant Bell inequality, which we show to be naturally suited to explore nonlocal correlations in many-body spin-1 systems or SU(3) models. In the specific, we show how to derive from this inequality experimentally practical Bell correlation witnesses based on the measurement of collective spin components. Moreover, we present approaches that allow us to derive scalable Bell dimension witnesses, namely criteria whose violation signals the impossibility of reproducing the observed statistics by single-particle Hilbert spaces of a certain dimension.This enables the certification of genuine three-level correlations that cannot occur in two-level, i.e. qubit, systems. As an example, we show the application of these witnesses in spin-nematic squeezed states, such as the one that can be prepared in spin-1 Bose-Einstein condensates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12823 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-outcome multipartite Bell inequalities: applications to dimension witnessing and spin-nematic squeezing in many-body systems Müller-Rigat, Guillem Aloy, Albert Lewenstein, Maciej Fadel, Matteo Tura, Jordi Quantum Physics Quantum Gases We present a three-outcome permutationally-invariant Bell inequality, which we show to be naturally suited to explore nonlocal correlations in many-body spin-1 systems or SU(3) models. In the specific, we show how to derive from this inequality experimentally practical Bell correlation witnesses based on the measurement of collective spin components. Moreover, we present approaches that allow us to derive scalable Bell dimension witnesses, namely criteria whose violation signals the impossibility of reproducing the observed statistics by single-particle Hilbert spaces of a certain dimension.This enables the certification of genuine three-level correlations that cannot occur in two-level, i.e. qubit, systems. As an example, we show the application of these witnesses in spin-nematic squeezed states, such as the one that can be prepared in spin-1 Bose-Einstein condensates. |
| title | Three-outcome multipartite Bell inequalities: applications to dimension witnessing and spin-nematic squeezing in many-body systems |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2406.12823 |