| 量子相变与几何相位 |
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| 引用本文： | 朱诗亮.量子相变与几何相位[J].物理,2006,35(11):919-923. |
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| 作者姓名： | 朱诗亮 |
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| 作者单位： | 华南师范大学物理与电信工程学院,光子信息技术广东省高校重点实验室,广州,510631;美国密歇根大学物理系,光学相干及超快科学中心,理论物理中心,美国 |
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| 基金项目： | 国家自然科学基金;教育部新世纪优秀人才支持计划 |
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| 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。
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| 关 键 词： | 量子相变 几何相位 XY自旋链 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006-03-062006-04-21 |
Quantum phase transitions and geometric phases |
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| ZHU Shi-Liang.Quantum phase transitions and geometric phases[J].Physics,2006,35(11):919-923. |
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| Authors: | ZHU Shi-Liang |
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| Institution: | 1 School of Physics and Electronic Communication Engineering, Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China; 2 Department of Physics, Michigan University, USA |
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| 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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| Keywords: | quantum phase transitions geometric phases XY spin chain |
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