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Ordered space-time structures: Quantum carpets from Gaussian sum theory

论文摘要

The term "quantum carpet" can be observed in many closed quantum systems, where the evolution of a wave function exhibits a carpet-like pattern. Quantum carpet mechanisms are also akin to the classical interference patterns of light. Although the origins of quantum carpets have previously been studied by various researchers, many interesting details are still worth exploring. In this study, we present a unified framework for simultaneously analyzing three different features of quantum carpets: full revival,fractional revival, and diagonal canal. For the fractional revival feature, a complete formula is presented to explain its formation through Gaussian sum theory, in which all essential features, including phases and amplitudes, are captured analytically. We also reveal important relationships between the interference terms of diagonal canals and their geometric interpretations such that a better understanding of the development of diagonal canals can be supported.

论文目录

  • 1 Introduction
  • 2 Continuous quantum carpets
  •   2.1 Full revival of the wave function
  •   2.2 Fractional revival
  •   2.3 Diagonal canals
  • 3 Discrete quantum carpets
  •   3.1 Theoretical analysis
  •   3.2 Experimental methods
  • 4 Summary
  • Appendix A Deconstructing the summation
  • Appendix B Pattern decomposition

    • 文章来源

    类型: 期刊论文

    作者: HuiXin Xiong,XueKe Song,HuaiYang Yuan,DaPeng Yu,ManHong Yung

    来源: Science China(Physics,Mechanics & Astronomy) 2019年07期

    年度: 2019

    分类: 基础科学

    专业: 物理学

    单位: Department of Physics, Peking University,Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology,Department of Physics, Southeast University,Shenzhen Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology,Central Research Institute,Huawei Technologies

    基金: supported by the National Natural Science Foundation of China(Grant No.11875160),the National Natural Science Foundation of China-Guangdong Joint Fund(Grant No.U1801661),the Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2016ZT06D348),the Natural Science Foundation of Guangdong Province(Grant No.2017B030308003),and the Science,Technology and Innovation Commission of Shenzhen Municipality(Grant Nos.JCYJ20170412152620376,JCYJ20170817105046702,and ZDSYS201703031659262),the Postdoctoral Science Foundation of China(Grant No.2018M632195)

    分类号: O413

    页码: 55-62

    总页数: 8

    文件大小: 12901K

    下载量: 12

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