磁場作用下的慢光及光儲存之理論研究｜國立清華大學博碩士論文庫

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研究生：	徐薇棉 Hsu, Wei-Mien
論文名稱：	磁場作用下的慢光及光儲存之理論研究 Theoretical Study of Slow and Stored Light Pulses in the Presence of Magnetic Fields
指導教授：	余怡德 Yu, Ite Albert
口試委員:	余怡德郭西川江進福
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：	83
中文關鍵詞：	電磁波引發透明、慢光、光儲存、磁場下的慢光和光儲存、冷原子
外文關鍵詞：	EIT, Electromagnetically induced transparency, Slow light, Light storage, Slow and stored light under the magnetic fields, Cold atom
相關次數：	點閱：2 下載：0
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We systematically investigate the slowed and stored light pulses, based on the dynamic effect of electromagnetically induced transparency (EIT), with the cold 87Rb atoms in the presence of magnetic fields. Especially, slow light splitting into two pulses with different group velocities was observed only in the case that a magnetic field perpendicular to propagation direction of the coupling and probe beams was applied. For light storage process, we find that the retrieved amplitude, which oscillates as a function of storage time, depends not only on the applied magnetic field but also on the ground state population distribution. This suggests that slow light and light storage in the presence of magnetic field can be used to determine the population distribution of the atomic system. Finally, the theoretical prediction is presented, which is in good agreements with the experimental results.

Abstract ...... i
Table of Contents ...... ii

Chapter 1 Overview ...... 1
   1.1 Introduction and Motivation ...... 1
   1.2 Experimental Setup ...... 3
   1.3 Thesis Layout ...... 4


Chapter 2 Theory of EIT in a Three-Level System ...... 5
   2.1 Introduction of EIT ...... 5
   2.2 Optical Bloch Equation of a Three-Level System ..... 6
   2.3 OBE with Perturbation Method ...... 8
   2.4 Slow Light and Light Storage ...... 12
   Complements of Chapter 2 ... 16
      C2.1 Density Matrix ... 16
      C2.2 Absorption and Dispersion ...... 17
      C2.3 Summary for Slow Light ...... 18


Chapter 3 Theoretical Formulation of a 13-Level System ...... 19
   3.1 System with Zeeman degeneracy (Method I) ...... 19
   3.2 System with Zeeman degeneracy (Method II) ...... 24
      3.2.1 Optical Bloch Equation ...... 24
      3.2.2 Maxwell-Schrodinger Equation ...... 25
   3.3 Summary of Method I & II ...... 27
   Complements of Chapter 3 ...... 29
      C3.1 Rotation Matrix ...... 29


Chapter 4 Discussion ...... 33
   4.1 Determine the Population Distribution ...... 33
      4.1.1 Slow Light and Light Storage (B = 0) ...... 33
      4.1.2 Slow Light and Light Storage (B∥0) ...... 36
      4.1.3 Slow Light and Light Storage (weak B⊥0) ......42
   4.2 Non-Diagonal Density Matrix and Ground State Population ...... 45
   4.3 Slow and Stored Light Under Large Transverse Magnetic field ...... 48
      4.3.1 Experimental Observation ...... 48
      4.3.2 Physical Mechanics of the Double Pulse Slow Light ...... 53
   Complements of Chapter 4 ...... 56
      C4.1 Coherence of the 9-Level System ...... 56
      C4.2 Optical Bloch Equation of the 4-Level System ...... 57


Chapter 5 Conclusion ...... 60


Appendix ...61
   A.1 Comparison of Light Storage in the 4-Level and 9-Level System ...... 61
   A.2 Four-wave Mixing ...... 66
   A.3 Photon Switching of the 4-level System ...... 73
   A.4 Clebsch-Gordan Coefficients ...... 81


Bibliography ... 82

                                

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