Journal
NATURE PHYSICS
Volume 12, Issue 8, Pages 778-782Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/NPHYS3700
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Funding
- EU IP SIQS
- SFB FoQuS (FWF Project) [F4016-N23]
- ERC synergy grant UQUAM
- Deutsche Akademie der Naturforscher Leopoldina [LPDS 2013-07, LPDR 2015-01]
- Spanish Government Grant FOQUS
- ERC AdG OSYRIS
- EU STREP EQuaM
- EU FET Proactive QUIC
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Entanglement is considered an essential resource in quantum technologies, and central to the understanding of quantum many body physics. Developing protocols to detect and quantify the entanglement of many-particle quantum states is thus a key challenge for present experiments. Here, we show that the quantum Fisher information, a witness for genuinely multipartite entanglement, becomes measurable for thermal ensembles by means of the dynamic susceptibility that is, with resources readily available in present cold atomic-gas and condensed-matter experiments. This establishes a connection between multipartite entanglement and many-body correlations contained in response functions, with immediate implications close to quantum phase transitions, where the quantum Fisher information becomes universal, allowing us to identify strongly entangled phase transitions with a divergent multipartite entanglement. We illustrate our framework using paradigmatic quantum lsing models, and point out potential signatures in optical-lattice experiments and strongly correlated materials.
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