One-way deficit and quantum phase transitions in XY model and extended Ising model

被引：10

作者：

Wang, Yao-Kun ^{[1
,4
]}

Zhang, Yu-Ran ^{[2
,3
,4
]}

Fan, Heng ^{[4
,5
]}

机构：

[1] Tonghua Normal Univ, Coll Math, Tonghua 134001, Jilin, Peoples R China

[2] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[3] RIKEN Cluster Pioneering Res, Theoret Quantum Phys Lab, Wako, Saitama 3510198, Japan

[4] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[5] UCAS, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China

来源：

QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 01期

基金：

中国国家自然科学基金;

关键词：

One-way deficit; Quantum phase transition; Symmetry-protected topological order; ENTANGLEMENT; DISCORD;

D O I：

10.1007/s11128-018-2132-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Originating in questions regarding work extraction from quantum systems coupled to a heat bath, the quantum deficit, a kind of quantum correlations in addition to entanglement and quantum discord, links quantum thermodynamics with quantum information theory. In this paper, we investigate the one-way deficit of two adjacent spins in the bulk of the XY model and the extended Ising model. We find that the one-way deficit susceptibility is able to characterize quantum phase transitions in the XY model and even topological phase transitions in the extend Ising model. This study will enlighten extensive studies of quantum phase transitions from the perspective of quantum information processing and quantum computation, including finite-temperature phase transitions, topological phase transitions, and dynamical phase transitions in a variety of quantum many-body systems.

引用

页数：14

共 47 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] 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)

[3] Classification of topological quantum matter with symmetries [J].

Chiu, Ching-Kai ;

Teo, Jeffrey C. Y. ;

Schnyder, Andreas P. ;

Ryu, Shinsei .

REVIEWS OF MODERN PHYSICS, 2016, 88 (03)

[4] Quantum Discord Bounds the Amount of Distributed Entanglement [J].

Chuan, T. K. ;

Maillard, J. ;

Modi, K. ;

Paterek, T. ;

Paternostro, M. ;

Piani, M. .

PHYSICAL REVIEW LETTERS, 2012, 109 (07)

[5] Local characterization of one-dimensional topologically ordered states [J].

Cui, Jian ;

Amico, Luigi ;

Fan, Heng ;

Gu, Mile ;

Hamma, Alioscia ;

Vedral, Vlatko .

PHYSICAL REVIEW B, 2013, 88 (12)

[6] Quantum phases with differing computational power [J].

Cui, Jian ;

Gu, Mile ;

Kwek, Leong Chuan ;

Santos, Marcelo Franca ;

Fan, Heng ;

Vedral, Vlatko .

NATURE COMMUNICATIONS, 2012, 3

[7] Entanglement-assisted local operations and classical communications conversion in quantum critical systems [J].

Cui, Jian ;

Cao, Jun-Peng ;

Fan, Heng .

PHYSICAL REVIEW A, 2012, 85 (02)

[8] Quantum discord and quantum phase transition in spin chains [J].

Dillenschneider, Raoul .

PHYSICAL REVIEW B, 2008, 78 (22)

[9] Topological characterization of quantum phase transitions in a spin-1/2 model [J].

Feng, Xiao-Yong ;

Zhang, Guang-Ming ;

Xiang, Tao .

PHYSICAL REVIEW LETTERS, 2007, 98 (08)

[10] Renyi entropy of the XY spin chain [J].

Franchini, F. ;

Its, A. R. ;

Korepin, V. E. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (02)

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