study of a two-component Bose-Einstein condensate.

• Other Authors: Chan, Chak Ming.
• Format: Others
• Language: English; Chinese
• Published: 2001
• Subjects: Bose-Einstein condensation; Collective excitations
• Online Access: http://library.cuhk.edu.hk/record=b5890797; http://repository.lib.cuhk.edu.hk/en/item/cuhk-323490

Chan Chak Ming = 二元玻色-愛因斯坦凝聚態之硏究 / 陳澤明. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. === Includes bibliographical references (leaves [100]-104). === Text in English; abstracts in English and Chinese. === Chan Chak Ming = Er yuan Bose-Aiyinsitan ning ju tai zhi yan jiu / Chen Zeming. === Abstract --- p.i === Acknowledgments --- p.ii === Contents --- p.iii === List of Figures --- p.vi === Chapter Chapter 1. --- Introduction --- p.1 === Chapter Chapter 2. --- Theory of Bose-Einstein Condensate (BEC) --- p.4 === Chapter 2.1 --- Trapped Ideal Bose Gas --- p.5 === Chapter 2.2 --- Bogoliubov Theory of Weakly Interacting Bosons --- p.7 === Chapter 2.2.1 --- One-component BEC --- p.7 === Chapter 2.2.2 --- Two-component BEC --- p.12 === Chapter Chapter 3. --- Condensate Wavefunctions and Collective Excitations --- p.16 === Chapter 3.1 --- Properties of Condensate Wavefunctions --- p.16 === Chapter 3.2 --- Collective Excitations --- p.21 === Chapter 3.3 --- Appendix: Numerical Methods and Practical Procedures --- p.26 === Chapter 3.3.1 --- Gradient Descent Method --- p.27 === Chapter 3.3.2 --- Iterative Diagonalization Method --- p.28 === Chapter 3.3.3 --- Practical Procedures --- p.30 === Chapter Chapter 4. --- Noncondensate Atoms in Homogeneous BEC --- p.33 === Chapter 4.1 --- Noncondensate Atoms in One-Component BEC --- p.33 === Chapter 4.2 --- Bogoliubov Theory for Two-species Homogeneous BEC --- p.35 === Chapter 4.3 --- Same Mass System: m1= m2 --- p.37 === Chapter 4.4 --- Unequal Mass System: m1 ≠ m2 --- p.48 === Chapter 4.5 --- Summary --- p.54 === Chapter Chapter 5. --- Noncondensate Atoms in a Trapped BEC --- p.55 === Chapter 5.1 --- Case I: The Noncondensate Atoms in the Mixture of Two Spin States of 87Rb --- p.57 === Chapter 5.2 --- Case II: The Noncondensate Atom in the Mixture of 87Rb and 23Na --- p.61 === Chapter 5.3 --- Summary --- p.64 === Chapter Chapter 6. --- Two-component BEC in Relative Motion --- p.65 === Chapter 6.1 --- Bogoliubov Theory for Motional Two BEC --- p.65 === Chapter 6.2 --- Stability Analysis --- p.69 === Chapter 6.2.1 --- Dynamical Stability Analysis --- p.69 === Chapter 6.2.2 --- Anomalous Mode Analysis --- p.75 === Chapter 6.2.3 --- "Critical Velocity, Anomalous Modes Critical Velocity and Sound Velocities" --- p.78 === Chapter 6.3 --- Motional Two-component BEC in a Ring --- p.80 === Chapter 6.4 --- Two-component BEC of the Same Species --- p.85 === Chapter 6.4.1 --- Moving Particles in Momentum Space --- p.88 === Chapter 6.4.2 --- Moving Particles in Real Space --- p.93 === Chapter 6.4.2.1 --- Strong coupling regime: (g > k02/2) --- p.93 === Chapter 6.4.2.2 --- Weak-coupling regime: (g《<k02/2) --- p.95 === Chapter 6.5 --- Summary --- p.95 === Chapter Chapter 7. --- Conclusion --- p.93 === Bibliography --- p.100