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.
Seminar + Term paper.
The main aim of the lecture is to enable the students to understand on-going research and to read and understand recent articles. This will be demonstrated in short seminar talks (15 min) and a final term paper, summarizing a recent publication (max 3 pages).
•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