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arXiv · 2004.01591

Relating spin squeezing to multipartite entanglement criteria for particles and modes

Matteo Fadel·Manuel Gessner
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Abstract

Entanglement witnesses based on first and second moments exist in the form of spin-squeezing criteria for the detection of particle entanglement from collective measurements, and in form of modified uncertainty relations for the detection of mode entanglement or steering. By revealing a correspondence between them, we show that metrologically useful spin squeezing reveals multimode entanglement in symmetric spin states that are distributed into addressable modes. We further derive tight state-independent multipartite entanglement bounds on the spin-squeezing coefficient and point out their connection to widely-used entanglement criteria that depend on the state's polarization. Our results are relevant for state-of-the-art experiments where symmetric entangled states are distributed into a number of addressable modes, such as split spin-squeezed Bose-Einstein condensates.

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Matteo Fadel, Manuel Gessner. 2020-04-03. Relating spin squeezing to multipartite entanglement criteria for particles and modes. https://doi.org/10.1103/physreva.102.012412

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