Ideal Classical Gas in a Harmonic Trap | Lectures on Cold Atoms

The lecture is part of our course "Particle Traps and Laser Cooling" from the master's program in physics (specialization in Quantum Physics) at the University of Innsbruck. 00:00 Intro 00:49 Box trap vs. harmonic trap 02:10 Some basic statistical mechanics and the Boltzmann factor 02:55 Occupancy of states 03:54 What is a state? 04:54 Phase-space distribution 06:40 3D harmonic trap 07:30 Energy in 6D phase space 08:42 Peak phase-space density 10:24 Phase-space density in a 3D harmonic trap 10:43 Spatial distribution 12:27 Mean number density 13:50 Realistic example: atoms in an optical dipole trap 15:35 Energy distribution 17:43 Density of states 18:18 Energy distribution function 20:22 Local phase-space density and quantum volume 22:16 Thermal de Broglie wavelength 23:39 Summary: box vs. harmonic trap 25:03 Have fun in the lab!