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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 |
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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.
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Received: 17 January 2024
Revised: 09 February 2024
Accepted manuscript online: 01 March 2024
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PACS:
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03.67.-a
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(Quantum information)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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05.30.Rt
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(Quantum phase transitions)
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| Fund: 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). |
Corresponding Authors:
Liu Ye, Dong Wang
E-mail: yeliu@ahu.edu.cn;dwang@ahu.edu.cn
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Cite this article:
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 2024 Chin. Phys. B 33 070301
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