Multipartite Entanglement at Finite Temperature

Year: 2018

Authors: Gabbrielli M., Smerzi A., Pezzè L.

Autors Affiliation: INO CNR, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.

Abstract: The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the universal phase diagram of the quantum Fisher information at a quantum phase transition. Different regions in the diagram are identified by characteristic scaling laws of the quantum Fisher information with respect to temperature. This feature has immediate consequences on the thermal robustness of quantum coherence and multipartite entanglement. We support the theoretical predictions with the analysis of paradigmatic spin systems showing symmetry-breaking quantum phase transitions and free-fermion models characterized by topological phases. In particular we show that topological systems are characterized by the survival of large multipartite entanglement, reaching the Heisenberg limit at finite temperature.

Journal/Review: SCIENTIFIC REPORTS

Volume: 8      Pages from: 15663-1  to: 15663-18

More Information: We thank T. Roscilde and I. Frerot for helpful discussions and for sharing their recent draft. We also acknowledge discussions with R. Franzosi, L. Lepori and M. Gessner. This work has been supported by the QuantERA projects Q-Clocks and TAIOL.
KeyWords: Bose-Einstein condensate; infinitely coordinated systems; many-body system; quantum criticality; fisher information
DOI: 10.1038/s41598-018-31761-3

Citations: 47
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