Difference between revisions of "Quantum gases"
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*** On nonlinear Schrödinger equation: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases146-157.pdf handout pp. 146-156] (link broken) | *** On nonlinear Schrödinger equation: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases146-157.pdf handout pp. 146-156] (link broken) | ||
*** On hydrodynamics: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases165-179.pdf handout pp. 165-179] (link broken) | *** On hydrodynamics: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases165-179.pdf handout pp. 165-179] (link broken) | ||
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'''2009 Class notes''' [[File:AMO Fermions 2009.pdf]] | '''2009 Class notes''' [[File:AMO Fermions 2009.pdf]] | ||
Revision as of 19:59, 4 May 2017
In this chapter, we discuss the three paradigmatic accomplishment of the field of cold atoms: Bose-Einstein condensation, the superfluid to Mott insulator transition, and superfluid Fermi gases., These are three current frontiers of research, all made possible by the combination of laser cooling and evaporative cooling. In the first section of this chapter, we present evaporative cooling and magnetic trapping, the two key techniques to achieve the nanokelvin temperature range (although more recently, evaporative cooling in optical traps has been used).
We hope that in the near future, we can add another section to this chapter, the study of magnetism in spin systems, realized with ultracold bosons and fermions. This goal is currently pursued in several labs.
2009 Class Notes File:AMO class BEC 09-05-04 short.pdf
- Ultracold Bosons
- Ideal Bose Gas
- Weakly Interacting Homogeneous Bose Gas
- Inhomogeneous Bose Gas
- Superfluid Hydrodynamics
- Superfluid to Mott Insulator Transition
- Superfluid to Mott insulator transition: Original paper on analytic decoupling solution File:PRA Stoof MI e053601.pdf
- Further reading: Bose-Einstein Condensation in Dilute Gases, C.J. Pethick and H. Smith, selected pages
- On Bogoliubov transformation and collective excitation: handout pp. 205-214 (link broken)
- On nonlinear Schrödinger equation: handout pp. 146-156 (link broken)
- On hydrodynamics: handout pp. 165-179 (link broken)
2009 Class notes File:AMO Fermions 2009.pdf
- Ultracold Fermi gases
- Techniques for cooling Fermions
- Ideal Fermi Gas
- BEC-BCS Crossover
- Further reading: Varenna summer school notes: File:Kett08 Varenna notes Fermi Gases.pdf pp. 82-94
