Einstein-Podolsky-Rosen Steering and Quantum Phase Transition in Spin Chains

Zhang, Ye-Qi; Sun, Yong-Tao; He, Qi-Liang

doi:10.1007/s10773-018-3817-0

Cited by 3 publications

(3 citation statements)

References 44 publications

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“…For the XY model, the results show that steering robustness increases firstly and then decreases in the paramagnetic phase, which is very different from the results by using steering weight as a measure [37]. When the parameter λ approaches the critical point, steering robustness disappears entirely and then remains at zero in the whole ferromagnetic phase.…”

Section: Discussioncontrasting

confidence: 68%

“…Around the point λ=1, it disappears and remains at zero in the whole region of ferromagnetic phase (λ>1), which is very different to the entanglement. Here, it should be mentioned that Zhang et al shown that the bipartite state would be unsteerable around the point λ=0.8 [37]. The difference mainly comes from the special three measurements in their calculation.…”

Section: One-dimensional Anisotropic Xy Modelmentioning

confidence: 90%

“…Recently, Einstein-Podolsky-Rosen (EPR) steering has attracted much interest both theoretically and experimentally [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. Apart from the fundamentality of steering in quantum theory itself [22][23][24][25][26][27][28], there are also quite a few application motivations in quantum information technology (e.g.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Einstein–Podolsky–Rosen steering in critical systems

Wang

Guo

2019

J. Phys. B: At. Mol. Opt. Phys.

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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 Δ = 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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Section: Discussioncontrasting

confidence: 68%

Section: One-dimensional Anisotropic Xy Modelmentioning

confidence: 90%