Detecting the quantum phase transition from the perspective of quantum information in the Aubry-Andre model

Abstract

Abstract In this study, we investigate the effectiveness of entropic uncertainty, entanglement, and steering in discerning quantum phase transitions (QPT). Specifically, we observe significant fluctuations in entropic uncertainty as the driving parameter traverses the phase transition point. It was observed that the entropic uncertainty, entanglement and quantum steering, based on the electron distribution probability, can be served as indicators for detecting quantum phase transitions. Notably, we reveal an intriguing anticorrelation relationship between entropic uncertainty and entanglement in the Aubry-André (AA) model. Moreover, we explore the feasibility of detecting a quantum phase transition when the period parameter is a rational number. These observations open up new and efficient avenues for probing QPT.