Correlation-induced coherence and its use in detecting quantum phase transitions

被引:16
作者
Du, Ming-Ming [1 ]
Khan, Abdul Sattar [1 ]
Zhou, Zhao-Yi [1 ]
Zhang, Da-Jian [1 ]
机构
[1] Shandong Univ, Dept Phys, Jinan 250100, Peoples R China
来源
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2022年 / 65卷 / 10期
基金
中国国家自然科学基金;
关键词
correlation measures; coherence measures; quantum phase transitions; ENTANGLEMENT;
D O I
10.1007/s11433-022-1958-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The past two decades have witnessed a surge of interest in exploring correlation and coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by the continued push along this direction, we propose a measure which is built upon the so-called degree of coherence, and advocate using the susceptibility of our measure to detect QPTs. We show that our measure can capture both the notions of coherence and correlations exhibited in bipartite states and therefore represents a hybrid of these two notions. Through examining the XXZ model and the Ritaev honeycomb model, we demonstrate that our measure is favorable for detecting QPTs in comparison to many previous proposals.
引用
收藏
页数:9
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共 95 条
[1]   Entanglement in many-body systems [J].
Amico, Luigi ;
Fazio, Rosario ;
Osterloh, Andreas ;
Vedral, Vlatko .
REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576
[2]   Two-point versus multipartite entanglement in quantum phase transitions [J].
Anfossi, A ;
Giorda, P ;
Montorsi, A ;
Traversa, F .
PHYSICAL REVIEW LETTERS, 2005, 95 (05)
[3]   Quantifying Coherence [J].
Baumgratz, T. ;
Cramer, M. ;
Plenio, M. B. .
PHYSICAL REVIEW LETTERS, 2014, 113 (14)
[4]   Scaling of Tripartite Entanglement at Impurity Quantum Phase Transitions [J].
Bayat, Abolfazl .
PHYSICAL REVIEW LETTERS, 2017, 118 (03)
[5]   Concentrating partial entanglement by local operations [J].
Bennett, CH ;
Bernstein, HJ ;
Popescu, S ;
Schumacher, B .
PHYSICAL REVIEW A, 1996, 53 (04) :2046-2052
[6]  
Brukner C, 1999, PHYS REV LETT, V83, P3354, DOI 10.1103/PhysRevLett.83.3354
[7]   Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model [J].
Buonsante, P. ;
Vezzani, A. .
PHYSICAL REVIEW LETTERS, 2007, 98 (11)
[8]   Experimental tests of coherence and entanglement conservation under unitary evolutions [J].
Cernoch, Antonin ;
Bartkiewicz, Karol ;
Lemr, Karel ;
Soubusta, Jan .
PHYSICAL REVIEW A, 2018, 97 (04)
[9]   Coherence susceptibility as a probe of quantum phase transitions [J].
Chen, Jin-Jun ;
Cui, Jian ;
Zhang, Yu-Ran ;
Fan, Heng .
PHYSICAL REVIEW A, 2016, 94 (02)
[10]   Quantum-information approach to the quantum phase transition in the Kitaev honeycomb model [J].
Cui, Jian ;
Cao, Jun-Peng ;
Fan, Heng .
PHYSICAL REVIEW A, 2010, 82 (02)