Fundamentals and New Frontiers of Bose-Einstein Condensation

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World Scientific, 2010 - Science - 351 pages
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This book covers the fundamentals of and new developments in gaseous Bose–Einstein condensation. It begins with a review of fundamental concepts and theorems, and introduces basic theories describing Bose–Einstein condensation (BEC). It then discusses some recent topics such as fast-rotating BEC, spinor and dipolar BEC, low-dimensional BEC, balanced and imbalanced fermionic superfluidity including BCS-BEC crossover and unitary gas, and p-wave superfluidity.
  

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Contents

1 Fundamentals of BoseEinstein Condensation
1
2 Weakly Interacting Bose Gas
33
3 Trapped Systems
73
4 Linear Response and Sum Rules
105
5 Statistical Mechanics of Superuid Systems in a Moving Frame
129
6 Spinor BoseEinstein Condensate
145
7 Vortices
171
8 Fermionic Superfluidity
197
11 Optical Lattices
277
12 Topological Excitations
297
Appendix A Order of Phase Transition ClausiusClapeyron Formula and GibbsDuhem Relation
321
Appendix B Bogoliubov Wave Functions in Coordinate Space
323
Appendix C Effective Mass Sound Velocity and Spin Susceptibility of Fermi Liquid
329
Appendix D Derivation of Eq 8155
333
Appendix E f Sum Rule
335
Bibliography
337

9 LowDimensional Systems
241
10 Dipolar Gases
261

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