Difference between revisions of "Quantum gases"
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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). | 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). | ||
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* [[Techniques for cooling to ultralow temperatures]] | * [[Techniques for cooling to ultralow temperatures]] | ||
| − | ** Magnetic trapping and evaporative cooling (2009 [ | + | ** Magnetic trapping and evaporative cooling (2009 Class Notes [[File:Magnetic_trappping_and_evaporative_cooling.pdf ]]) |
* [[Ultracold Bosons]] | * [[Ultracold Bosons]] | ||
| − | ** 2009 [ | + | ** 2009 Class Notes [[File:AMO_class_BEC_09-05-04_short.pdf]] |
** Further reading: Bose-Einstein Condensation in Dilute Gases, C.J. Pethick and H. Smith, selected pages | ** Further reading: Bose-Einstein Condensation in Dilute Gases, C.J. Pethick and H. Smith, selected pages | ||
| − | *** On Bogoliubov transformation and collective excitation: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases205-214.pdf pp. 205-214] | + | *** On Bogoliubov transformation and collective excitation: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases205-214.pdf handout pp. 205-214] (link broken) |
| − | *** On nonlinear Schrödinger equation: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases146-157.pdf pp. 146-156] | + | *** 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 pp. 165-179] | + | *** On hydrodynamics: [http://cua.mit.edu/8.422/HANDOUTS/BECinDiluteGases165-179.pdf handout pp. 165-179] (link broken) |
| − | ** | + | ** Superfluid to Mott insulator transition: Original paper on analytic decoupling solution [[File:PRA_Stoof_MI_e053601.pdf]] |
* Ultracold Fermi gases | * Ultracold Fermi gases | ||
| − | ** 2009 [ | + | ** 2009 Class notes [[File:AMO Fermions 2009.pdf]] |
| − | ** Further reading: [ | + | ** Further reading: Varenna summer school notes: [[File:Kett08 Varenna notes Fermi Gases.pdf]] pp. 82-94 |
| − | |||
[[Category:8.422]] | [[Category:8.422]] | ||
Revision as of 17:28, 24 April 2013
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.
- Techniques for cooling to ultralow temperatures
- Magnetic trapping and evaporative cooling (2009 Class Notes File:Magnetic trappping and evaporative cooling.pdf)
- Ultracold Bosons
- 2009 Class Notes File:AMO class BEC 09-05-04 short.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)
- Superfluid to Mott insulator transition: Original paper on analytic decoupling solution File:PRA Stoof MI e053601.pdf
- Ultracold Fermi gases
- 2009 Class notes File:AMO Fermions 2009.pdf
- Further reading: Varenna summer school notes: File:Kett08 Varenna notes Fermi Gases.pdf pp. 82-94
