無自旋冷原子系統在靜無序位能下的自我複製方法

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研究生：	李韋憲 Lee, Wei-Hsien
論文名稱：	無自旋冷原子系統在靜無序位能下的自我複製方法 Replica approach in spinless ultracold atomic systems with static random potentials
指導教授：	王道維 Wang, Daw-Wei
口試委員:	洪在明 Hong, Tzay-Ming 仲崇厚 Chung, Chung-Hou 王道維 Wang, Daw-Wei
學位類別：	碩士 Master
系所名稱：	理學院 - 物理學系 Department of Physics
論文出版年：	2011
畢業學年度：	99
語文別：	英文
論文頁數：	29
中文關鍵詞：	冷原子、靜無序、自我複製方法
外文關鍵詞：	cold atom, static disorder, replica approach
相關次數：	點閱：3 下載：0
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Abstract
We investigate the finite temperature properties with replica approach to deal with generalized disorder type. After averaging out the disorder, we get the effective Lagrange in which the disorder acts like two-particle potential. Then, to cope with such potential and the interaction term, we introduce Hubbard-Stratonovich transformation and obtain the equation of states. We present an analytical solution in the case of the uniform system as an example, showing how random potential can deplete the condensate particles and change the properties of elementary excitations.

Contents

Introduction 4

Introduction to different disorder systems 6

1 Metal-insulator transition and Anderson localization .6
2 Impurity pinning for charge density waves . . . 7
3 Hard sphere boson with white disorders . . . . . 8
4 Thermodynamics of uniform disorder superfluid . . 8
5 Experimental verification . . . . . . . . . . . . 9

Field Theory approach by replica 11

1 Introduction to replica for disorder systems . . . 11
2 Field theory study above Tc . . . . . . . . . . 14
3 Field theory below Tc . . . . . . . . . . . . . . 18
4 Bogoliubove limit without external potential . . .25

Conclusion 26

References 27

                                

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