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研究生: 王敬瑋
Wang, Ching-Wei
論文名稱: 在快速旋轉下非共振雷德堡玻色愛因斯坦凝聚態的渦漩結構-在李黃楊量子修正項的作用下
Vortex structures in a rotating Rydberg-dressed Bose-Einstein condensate with Lee-Huang-Yang quantum correction
指導教授: 吳文欽
Wu, Wen-Chin
學位類別: 碩士
Master
系所名稱: 物理學系
Department of Physics
論文出版年: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 38
英文關鍵詞: Vortex lattice, Rydberg-dressed BEC, Lee-Huang-Yang quantum correction, trapping effect
DOI URL: http://doi.org/10.6345/NTNU202100363
論文種類: 學術論文
相關次數: 點閱:155下載:23
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  • Motivated by recent success of the Lee-Huang-Yang (LHY) quantum correction on dipolar condensates, I numerically studied a fast rotating quasi-two-dimensional Rydberg-dressed Bose-Einstein condensate (BEC) where LHY correction has been taken into account. In a rotating Rydberg-dressed BEC of reduced dimensionality, I show that there is room to tune the LHY coupling against the long- and short-range interactions. The competition between the LHY coupling and the long-/short-range interaction then results in rich phase diagrams for the vortex lattice structures. Most of results can be deemed in the context of superfluid (SF)-supersolid (SS) transition. In particular, I propose that trapping effect of the SS triangles or grids can lead to the clustering of multiple vortices. I have provided a way to estimate the number of vortices clustered in the SS lattice.

    Abstract i Declaration ii Acknowledgement iii Table of Contents v Chapter 1. Introduction 1.1 Historical overview 1 1.2 Motivation of the thesis 3 1.3 Overview of the thesis 5 Chapter 2. Themes and Related Topics 2.1 Vortex lattice in type-II superconductors 6 2.2 Gross-Pitaevskii equation 7 2.3 Rydberg-dressed BEC 8 2.4 LHY quantum correction 10 2.5 Vortex lattice in Rydberg-dressed BEC: Literature Search 11 Chapter 3. Formalism and Simulation 3.1 Formalism 13 3.2 Reduced dimensionality 14 3.3 Numerical methods 15 Chapter 4. Results and Discussions 4.1 Vortex lattices without LHY corrections 4.1.1 The TF regime 17 4.1.2 The vortex lattices 18 4.2 Vortex Structures with LHY correction 4.2.1 Roton instability 19 4.2.2 Clustering of multiple vortices 20 4.2.3 Effect of contact interaction 25 Chapter 5. Conclusions and Future Prospects 5.1 Conclusions 27 5.2 Future Prospects 27 Appendix A: Lattice parameter of Rydberg-dressed SS 28 References 31

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