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Artificial gauge fields and topological effects in quantum gases

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Artificial gauge fields and topological effects in quantum gases

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. ARTIFICIAL GAUGE FIELDS AND TOPOLOGICAL EFFECTS IN QUANTUM GASES Hu Yuxin 2014 ARTIFICIAL GAUGE FIELDS AND TOPOLOGICAL EFFECTS IN QUANTUM GASES HU YUXIN (B.Sc. (Physics),. Jiangwei and Li Xikun for making cheerful office environment. Last but not least, I would like to thank my girlfriend Tao Lu and my parents. Thanks for their whole-hearted supports and kind understandings. spin textures in the ground state of interacting ultracold bosonic atoms loaded in a two-dimensional harmonic trap. Our scheme is based on two co-propagating Laguerre-Gauss laser beams illuminating

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Mục lục

  • Acknowledgments

  • Abstract

  • List of Symbols

  • List of Abbreviations

  • List of Tables

  • List of Figures

  • 1 Introduction

  • 2 Gauge Theory

    • 2.1 The Origin of Gauge Invariance

    • 2.2 Abelian U(1) Gauge Theory

    • 2.3 Dirac Monopole

    • 2.4 Non-Abelian Gauge Theory

    • 2.5 Non-Abelian Monopole

    • 3 Artificial Gauge Field

      • 3.1 General Formulation

      • 3.2 Adiabatic Approximation

        • 3.2.1 Abelian gauge field

        • 3.2.2 Non-Abelian gauge field

        • 3.3 Physical Implementation

          • 3.3.1 The scheme

          • 3.3.2 The Raman beams

          • 3.3.3 The tripod scheme

          • 3.3.4 Limitations

          • 4 U(3) Artificial Gauge Fields

            • 4.1 2-Tripod Scheme

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