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2022-04-12
摘要翻译:
量子信息科学中的保真度概念最近被应用于从基态重叠的观点分析各种多体系统的量子相变。在本工作中,我们揭示了GS保真度与GS能量导数之间的内在联系,并发现它们在识别量子相变方面起着等价的作用。这两种方法之间的一般联系使我们能够理解在一般的基础上在各种系统中表现出的不同奇异性和保真度的缩放行为。我们的一般结论通过几个量子自旋模型得到了说明,这些模型显示了不同种类的量子自旋。
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英文标题:
《Intrinsic relation between ground-state fidelity and the
  characterization of a quantum phase transition》
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作者:
Shu Chen, Li Wang, Yajiang Hao, Yupeng Wang
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最新提交年份:
2008
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分类信息:

一级分类:Physics        物理学
二级分类:Other Condensed Matter        其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  The notion of fidelity in quantum information science has been recently applied to analyze quantum phase transitions from the viewpoint of the ground state (GS) overlap for various many-body systems. In this work, we unveil the intrinsic relation between the GS fidelity and the derivatives of GS energy and find that they play equivalent role in identifying the quantum phase transition. The general connection between the two approaches enables us to understand the different singularity and scaling behaviors of fidelity exhibited in various systems on general grounds. Our general conclusions are illustrated via several quantum spin models which exhibit different kinds of QPTs.
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PDF链接:
https://arxiv.org/pdf/801.002
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