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

doi:10.1088/1674-1056/ad2f1f

中国物理B ›› 2024, Vol. 33 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/ad2f1f

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

Geng-Biao Wei(韦庚彪), Liu Ye(叶柳)†, and Dong Wang(王栋)‡

School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China

收稿日期:2024-01-17 修回日期:2024-02-09 接受日期:2024-03-01 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Liu Ye, Dong Wang E-mail:yeliu@ahu.edu.cn;dwang@ahu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12075001 and 12175001), Anhui Provincial Key Research and Development Plan (Grant No. 2022b13020004), and the Fund of CAS Key Laboratory of Quantum Information (Grant No. KQI201701).

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

Geng-Biao Wei(韦庚彪), Liu Ye(叶柳)†, and Dong Wang(王栋)‡

School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China

Received:2024-01-17 Revised:2024-02-09 Accepted:2024-03-01 Online:2024-06-18 Published:2024-06-18
Contact: Liu Ye, Dong Wang E-mail:yeliu@ahu.edu.cn;dwang@ahu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12075001 and 12175001), Anhui Provincial Key Research and Development Plan (Grant No. 2022b13020004), and the Fund of CAS Key Laboratory of Quantum Information (Grant No. KQI201701).

摘要/Abstract

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

关键词: quantum phase transition, entropic uncertainty, quantum entanglement, quantum steering

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

Key words: quantum phase transition, entropic uncertainty, quantum entanglement, quantum steering

中图分类号: (Quantum information)

03.67.-a

03.65.Ta (Foundations of quantum mechanics; measurement theory) 05.30.Rt (Quantum phase transitions)

Geng-Biao Wei(韦庚彪), Liu Ye(叶柳), and Dong Wang(王栋). Detecting the quantum phase transition from the perspective of quantum information in the Aubry-André model[J]. 中国物理B, 2024, 33(7): 70301-070301.

Geng-Biao Wei(韦庚彪), Liu Ye(叶柳), and Dong Wang(王栋). Detecting the quantum phase transition from the perspective of quantum information in the Aubry-André model[J]. Chin. Phys. B, 2024, 33(7): 70301-070301.

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

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

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