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Article Dans Une Revue Quantum Année : 2022

Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities

Résumé

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,. .. , 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 dlevel quantum systems.
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Dates et versions

hal-03622059 , version 1 (28-03-2022)
hal-03622059 , version 2 (07-02-2023)

Identifiants

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Guillem Müller-Rigat, Maciej Lewenstein, Irénée Frérot. Probing quantum entanglement from magnetic-sublevels populations: beyond spin squeezing inequalities. Quantum, 2022, 6, pp.887. ⟨10.22331/q-2022-12-29-887⟩. ⟨hal-03622059v2⟩

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