基态保真度与量子相变特性的内在联系
Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
摘要：
量子信息科学中的保真度概念最近被应用于从多体系统的基态重叠的观点来分析量子相变。本文揭示了GS保真度与GS能量导数之间的内在联系，发现它们在识别量子相变中起着等价的作用。这两种方法之间的一般联系，使我们能够理解不同的奇异性和缩放行为的保真度表现在各种系统的一般理由。我们的一般结论通过几个量子自旋模型，表现出不同类型的QPT说明。
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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