Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Fidelity Susceptibility in the SU（2） and SU（1,1） Algebraic Structure Models

张宏标, 田立君

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

我们主要基于谎言代数学的方法探索忠实危险性。在物理根据上，忠实危险性罐头的准确表情分别地在苏(2 ) 和代数学的结构建模的苏(1,1 ) 被获得，它被用于一个身体系统和许多身体系统，例如单个旋转模型，单个模式挤压泛音振荡器模型和英国计算机学会模型。以快步行走绿色功能的方法，我们的一般结论与在有限温度和 T = 展出忠实危险性的二个模型一起被说明 0。[从作者抽象]

Related papers

Fidelity Susceptibility in the SU(2) and SU(1,1) Algebraic Structure Models

Hongbiao Zhang, Li-Jun Tian

We mainly explore the fidelity susceptibility based on the Lie algebraic method. On physical grounds, the exact expressions of fidelity susceptibilities can be respectively obtained in SU(2) and SU(1,1) algebraic structure models, which are applied to one-body system and many-body systems, such as the single spin model, the single-mode squeeze harmonic oscillator model and the BCS model. In terms of the double-time Green-function method, our general conclusions are illustrated with two models which exhibit the fidelity susceptibilities at the finite temperature and T = 0.

Chinese Physics Letters•May 1, 2010•3 citations

一种su(2)相干态的Boson实现

Min Li

•Jan 1, 1995•0 citations

Fidelity susceptibility and geometric phase in critical phenomenon

Li-Jun Tian, Chang-Qing Zhu, Hongbiao Zhang +1 more

Motivated by recent developments in quantum fidelity and fidelity susceptibility, we study relations among Lie algebra, fidelity susceptibility and quantum phase transition for a two-state system and the Lipkin—Meshkov—Glick model. We obtain the fidelity susceptibilities for SU (2) and SU (1, 1) algebraic structure models. From this relation, the validity of the fidelity susceptibility to signal for the quantum phase transition is also verified in these two systems. At the same time, we obtain the geometric phases in these two systems by calculating the fidelity susceptibility. In addition, the new method of calculating fidelity susceptibility is used to explore the two-dimensional XXZ model and the Bose-Einstein condensate (BEC).

arXiv:1011.4331•Chinese Physics B•Apr 1, 2011•9 citations

原子与相关双模SU（1,1）相干态场模相互作用的熵演化

Xiang Liu

Hu'nan Shifan Daxue xuebao. Ziran kexue ban•Jan 1, 1996•0 citations

哈密顿算符是SU（1,1）和SU（2）算子含时线性组合量子系统的时间演变及…

赖云忠, 梁九卿

研究了哈密顿算符是ＳＵ（１，１）和ＳＵ（２）算子线性组合且系数显含时间量子系统的时间演化。我们发现适当选取厄密不变量，不仅可得到统一的量子态时间演化封闭解，而且可得到时间演化幺正算符。用时间演化算符我们讨论了含时双光子压缩态和ＳＵ（１，１）相干态以及ＳＵ（２）压缩态的压缩性质。

Acta Physica Sinica•Jan 1, 1996•0 citations

Fidelity susceptibility for SU(2)-invariant states

Xiaoguang Wang, Shi-Jian Gu

We study the fidelity susceptibility of two SU(2)-invariant reduced density matrices. Due to the commuting property of these matrices, analytical results for reduced fidelity susceptibility are obtained and can be applied to study quantum phase transitions in SU(2)-invariant systems. As an example, we analyze the quantum criticality of the spin-one bilinear-biquadratic model via the fidelity approach.

arXiv:0809.4898•Journal of Physics A Mathematical and Theoretical•Jul 28, 2009•2 citations
我们主要基于谎言代数学的方法探索忠实危险性。在物理根据上，忠实危险性罐头的准确表情分别地在苏(2 ) 和代数学的结构建模的苏(1,1 ) 被获得，它被用于一个身体系统和许多身体系统，例如单个旋转模型，单个模式挤压泛音振荡器模型和英国计算机学会模型。以快步行走绿色功能的方法，我们的一般结论与在有限温度和 T = 展出忠实危险性的二个模型一起被说明 0。[从作者抽象]
We mainly explore the fidelity susceptibility based on the Lie algebraic method. On physical grounds, the exact expressions of fidelity susceptibilities can be respectively obtained in SU(2) and SU(1,1) algebraic structure models, which are applied to one-body system and many-body systems, such as the single spin model, the single-mode squeeze harmonic oscillator model and the BCS model. In terms of the double-time Green-function method, our general conclusions are illustrated with two models which exhibit the fidelity susceptibilities at the finite temperature and T = 0.
Motivated by recent developments in quantum fidelity and fidelity susceptibility, we study relations among Lie algebra, fidelity susceptibility and quantum phase transition for a two-state system and the Lipkin—Meshkov—Glick model. We obtain the fidelity susceptibilities for SU (2) and SU (1, 1) algebraic structure models. From this relation, the validity of the fidelity susceptibility to signal for the quantum phase transition is also verified in these two systems. At the same time, we obtain the geometric phases in these two systems by calculating the fidelity susceptibility. In addition, the new method of calculating fidelity susceptibility is used to explore the two-dimensional XXZ model and the Bose-Einstein condensate (BEC).