Quantum information entropy for one-dimensional system undergoing quantum phase transition

Calculations of the quantum information entropy have been extended to a non-analytically solvable situation. Specifically, we have investigated the information entropy for a one-dimensional system with a schematic ＂Landau＂ potential in a numerical way. Particularly, it is found that the phase transi...

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Published inChinese physics B Vol. 25; no. 5; pp. 38 - 42
Main Author 宋旭东 董世海 张宇
Format Journal Article
LanguageEnglish
Published 01.05.2016
Subjects
Constants
Entropy (Information theory)
Entropy (Information theory) (Information)
Evolution
Mathematical analysis
Mathematical models
Phase transformations
Quantum phenomena
一维系统
信息熵
定性关系
数值方法
相变
计算结果
质量参数
量子
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Summary:Calculations of the quantum information entropy have been extended to a non-analytically solvable situation. Specifically, we have investigated the information entropy for a one-dimensional system with a schematic ＂Landau＂ potential in a numerical way. Particularly, it is found that the phase transitional behavior of the system can be well expressed by the evolution of quantum information entropy. The calculated results also indicate that the position entropy S_x and the momentum entropy S_p at the critical point of phase transition may vary with the mass parameter M but their sum remains as a constant independent of M for a given excited state. In addition, the entropy uncertainty relation is proven to be robust during the whole process of the phase transition.
Bibliography:quantum information entropy; quantum phase transition; entropy uncertainty relation
Xu-Dong Song, Shi-Hai Dong, and Yu Zhang（ 1 Software Institute, Dalian Jiaotong University, Dalian 116028, China 2 CIDETEC, Instituto Politdcnico Nacional, Unidad Profesional ALM, Mexico D. E 07700, Mexico 3 Department of Physics, Liaoning Normal University, Dalian 116029, China）
Calculations of the quantum information entropy have been extended to a non-analytically solvable situation. Specifically, we have investigated the information entropy for a one-dimensional system with a schematic ＂Landau＂ potential in a numerical way. Particularly, it is found that the phase transitional behavior of the system can be well expressed by the evolution of quantum information entropy. The calculated results also indicate that the position entropy S_x and the momentum entropy S_p at the critical point of phase transition may vary with the mass parameter M but their sum remains as a constant independent of M for a given excited state. In addition, the entropy uncertainty relation is proven to be robust during the whole process of the phase transition.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/25/5/050302