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量子相变与几何相位

Quantum phase transitions and geometric phases

  • 摘要: 量子相变是凝聚态物理中的重要研究课题,而几何相位的发现是近几十年来量子力学中的重要进展,它们毫无关联地各自发展.但最近的研究表明,它们之间有密切联系:多体体系基态的几何相位在量子相变点附近具有标度性;不可收缩的几何相位可用来作为量子相变的标志等.文章将介绍最近在量子相变和几何相位的关系方面的研究进展,并用XY自旋链模型来详细说明.这些结果应会吸引凝聚态和几何相位领域工作的研究人员的关注和兴趣.

     

    Abstract: Quantum phase transition is one of main interests in the field of condensed matter physics. Similarly, geometric phases arrest considerable interest in the field of quantum mechanics. However, no any relevant relation was recognized before recent work. In this communication, we mainly introduce the recent results on the connections between quantum phase transitions and geometric phases: a non-contractible geometric phase is a signature of quantum phase transitions, especially all key ingredients of quantum criticality are present in geometric phases of the ground state. These results may arrest interest from both communities.

     

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