Abstract

By combining quantum renormalization group approach and critical theory, we investigate the performance of global entanglement and Bell nonlocality in quantum phase transition (QPT) that occurred in Ising model with a transverse field (ITF). After several iterations, both of them gradually develop two different saturated values relevant to the Ising phase and paramagnetic phase. Moreover, we proved that the inherent block–block correlation is strong enough to violate the quantum nonlocality. What is more, we derive an exact relation between global entanglement and Bell nonlocality for the given case. To serve further insight, the nonanalytic and scaling behaviors are analyzed.

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