A1 Refereed original research article in a scientific journal
Einstein-Podolsky-Rosen steering in critical systems
Authors: Cheng WW, Wang K, Wang WF, Guo YJ
Publisher: IOP PUBLISHING LTD
Publication year: 2019
Journal: Journal of Physics B: Atomic, Molecular and Optical Physics
Journal name in source: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Journal acronym: J PHYS B-AT MOL OPT
Article number: ARTN 085501
Volume: 52
Issue: 8
Number of pages: 8
ISSN: 0953-4075
eISSN: 1361-6455
DOI: https://doi.org/10.1088/1361-6455/ab0238
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/40016924
We explore Einstein-Podolsky-Rosen steering, measured by steering robustness, in the ground states of several typical models that exhibit a quantum phase transition. For the anisotropic XY model, steering robustness approaches zero around the critical point and vanishes in the ferromagnetic phase despite the fact that there exist other quantum nonlocalities, e.g. quantum entanglement. For the Heisenberg XXZ model, steering robustness exhibits some similar behavior as entanglement around the infinite-order quantum phase transition point Delta = 1, e.g. reaching its maximum. As a further example, we also consider steering robustness in the Lipkin-Meshkov-Glick collective spin model. It is then shown that steering robustness disappears at the transition point and remains at zero in the fully polarized symmetric phase, just like the behavior of entanglement and Bell nonlocality.
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