After successful completion of the course, students are able to describe various techniques to trap and cool gases of neutral atoms. A basic understanding for the phenomenon of Bose-Einstein condensation has established and relevant properties of this quantum state can be described.
Topics include: Thermodynamics of Bose and Fermi gases, atomic quantum gases; techniques to make and observe a BEC (Laser cooling, atom trapping, evaporative cooling) and degenerate Fermi gases, fundamentals of finite trapped degenerate quantum gases, non linear Schrödinger equation, fluctuations and correlations, 1d, 2d, 3d systems, excitations, solitons, vortices, superfuidity, ultra cold collisions, Feshbach resonances, molecular quantum gases, BEC-BCS cross over, strongly correlates systems, Bose Hubbard, Fermi Hubbard problems, fermionization of strongly interaction bosons in 1d, Tonks gas, Kosterlitz Thouless transition etc.
•Bose-Einstein Condensation in Dilute Gases,
C. J. Pethick, H. Smith
•Laser Cooling and Trapping,
H. Metcalf and P. Van der Straten
•Quantum Optics,
M. Scully and M. Zubairy
•Theory of Bose-Einstein condensation in trapped gases,
F. Dalfovo et.al., Rev. Mod. Phys. 71, 463–512 (1999)
cond-mat/9806038
•Making, probing and understanding Bose-Einstein condensates,
W. Ketterle et.al, Cond-mat/9904033
•Articles and transparencies will be posted on TISS