Low lying excited states quantum entanglement and continuous quantum phase transitions

Abstract From the perspective of entanglement in low-lying excited states, a profound analysis was carried out regarding the quantum phase transitions within three models that fall outside the Landau-Ginzburg-Wilson (LGW) paradigm. In the context of the deconfined quantum critical point (DQCP) in a...

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Main Authors: Yan-Chao Li, Yuan-Hang Zhou, Yuan Zhang, Hai-Qing Lin
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-90248-0
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author Yan-Chao Li
Yuan-Hang Zhou
Yuan Zhang
Hai-Qing Lin
author_facet Yan-Chao Li
Yuan-Hang Zhou
Yuan Zhang
Hai-Qing Lin
author_sort Yan-Chao Li
collection DOAJ
description Abstract From the perspective of entanglement in low-lying excited states, a profound analysis was carried out regarding the quantum phase transitions within three models that fall outside the Landau-Ginzburg-Wilson (LGW) paradigm. In the context of the deconfined quantum critical point (DQCP) in a one-dimensional quantum spin chain, our findings demonstrate a tight correlation between the reconstruction of low-lying excitation spectra and the DQCP. The precise location of the critical point and its continuous nature can be signaled by the singular behaviors of the entanglement of the first-excited state. Moreover, in comparison with two types of Berezinskii-Kosterlitz-Thouless (BKT) phase transitions, the entanglement presents three different singularity characteristics. These characteristics not only unveil the essence of diverse symmetry types on either side of the DQCP but also expose the disparate causes underlying the formation of the two BKT type phase transitions.
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issn 2045-2322
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series Scientific Reports
spelling doaj-art-633a1a2a1153482ea56f00e93528a8cd2025-08-20T02:15:11ZengNature PortfolioScientific Reports2045-23222025-02-011511910.1038/s41598-025-90248-0Low lying excited states quantum entanglement and continuous quantum phase transitionsYan-Chao Li0Yuan-Hang Zhou1Yuan Zhang2Hai-Qing Lin3Center of Materials Science and Optoelectronics Engineering, College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of SciencesCenter of Materials Science and Optoelectronics Engineering, College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of SciencesCenter of Materials Science and Optoelectronics Engineering, College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of SciencesZhejiang Institute of Modern Physics and School of Physics, Zhejiang UniversityAbstract From the perspective of entanglement in low-lying excited states, a profound analysis was carried out regarding the quantum phase transitions within three models that fall outside the Landau-Ginzburg-Wilson (LGW) paradigm. In the context of the deconfined quantum critical point (DQCP) in a one-dimensional quantum spin chain, our findings demonstrate a tight correlation between the reconstruction of low-lying excitation spectra and the DQCP. The precise location of the critical point and its continuous nature can be signaled by the singular behaviors of the entanglement of the first-excited state. Moreover, in comparison with two types of Berezinskii-Kosterlitz-Thouless (BKT) phase transitions, the entanglement presents three different singularity characteristics. These characteristics not only unveil the essence of diverse symmetry types on either side of the DQCP but also expose the disparate causes underlying the formation of the two BKT type phase transitions.https://doi.org/10.1038/s41598-025-90248-0
spellingShingle Yan-Chao Li
Yuan-Hang Zhou
Yuan Zhang
Hai-Qing Lin
Low lying excited states quantum entanglement and continuous quantum phase transitions
Scientific Reports
title Low lying excited states quantum entanglement and continuous quantum phase transitions
title_full Low lying excited states quantum entanglement and continuous quantum phase transitions
title_fullStr Low lying excited states quantum entanglement and continuous quantum phase transitions
title_full_unstemmed Low lying excited states quantum entanglement and continuous quantum phase transitions
title_short Low lying excited states quantum entanglement and continuous quantum phase transitions
title_sort low lying excited states quantum entanglement and continuous quantum phase transitions
url https://doi.org/10.1038/s41598-025-90248-0
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AT yuanhangzhou lowlyingexcitedstatesquantumentanglementandcontinuousquantumphasetransitions
AT yuanzhang lowlyingexcitedstatesquantumentanglementandcontinuousquantumphasetransitions
AT haiqinglin lowlyingexcitedstatesquantumentanglementandcontinuousquantumphasetransitions