極性分子裡的少體與多體物理｜國立清華大學博碩士論文庫

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研究生：	黃聖傑 Huang, Sheng-Jie
論文名稱：	極性分子裡的少體與多體物理 Few-Body and Many-Body physics in Polar Molecule Systems
指導教授：	王道維 Wang, Daw-Wei
口試委員:	郭西川 Gou, Shih-Chuan 陳應誠 Chen, Ying-Cheng
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：	2012
畢業學年度：	100
語文別：	英文
論文頁數：	51
中文關鍵詞：	極性分子、偶極、少體物理
外文關鍵詞：	polar molecule, few-body
相關次數：	點閱：102 下載：0
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我們研究了不同極性分子系統裡的少體與多體物理。首先我們考慮把極性分子放入兩條由雷射形成的管狀位能井中並外加一個隨時間固定的電場。藉由改變電場跟管狀位能井的角度，我們可以找到奇特的少體束縛態。另外，藉由外加隨時間變化的電場，我們可以控制極性分子之間的交互作用。一種新的少體束縛態可以在這個系統中形成，而且我們可以證明，這種束縛態是非常穩定的。當我們把極性分子放入光晶格中，並外加電場，我們可以設計出等效的自旋模型。我們用平均場理論去研究XY模型在橫向跟縱向場中 - 一個等效自旋模型的例子 - 的行為。

In this thesis, we study interesting few-body and many-body physics in different polar molecule systems. By loading polar molecules in two tubes and applying a static electric field to polarize dipoles, we can find many exotic few-body complexes when we change the angel between the electric field and the tubes. Further, the interaction between polar molecules can be shaped by applying an external AC field to couple internal states of polar molecules. A new type of bound states (supermolecules) can be formed in this system. We show that the supermolecules are quite long-lived. Moreover, by loading the polar molecules into a deep optical lattice, we can design effective spin models by controlling external electric fields. A mean-field study for XY model with both transverse and longitudinal field is also presented.

1 
Introduction 1
2 
Few-body bound states in one-dimensional dipolar gas and nondestructive optical detection 3
2.1 Model ....................................... 4
2.2 Few-bodyboundstates.............................. 7
2.2.1 Dimer ................................... 8 
2.2.2 Trimer................................... 9 
2.2.3 Tetramers ................................. 12
2.3 Stabilitydiagram ................................. 14
2.4 Extension-Largercomplexesand2Dlayersystems . . . . . . . . . . . . . . 15
2.5 Discussiononmany-bodyphysics ........................ 16
2.6 Opticaldetection ................................. 17
3 
Field-induced long-lived supermolecules 25
3.1 Modelandeffectiveinteraction ......................... 25 
3.2 Binding energies, wavefunctions, and phase diagrams . . . . . . . . . . . . . 27 3.3 Discussionontrimer ............................... 28 
3.4 ValidityofBorn-Oppenheimerapproximation . . . . . . . . . . . . . . . . . 30 
3.5 Discussiononmany-bodyphysics ........................ 31
4 
Engineering effective spin models by polar molecules 33
4.1 Singlemolecule .................................. 33 
4.2 Dipole-dipoleinteraction............................. 35 
4.3 Effectivespinmodel ............................... 36 
4.4 EffectoftheACelectricfield .......................... 37 
4.5 Mean-fieldtheory................................. 38
￼5 
Conclusion and Outlook. --------------------42
A 
Relative coordinate and space grid --------------------44
B 
Stochastic variational method --------------------47

                                

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