Cold atoms Lecture 3. 18^th October, 2006 Non-interacting bosons in a trap Useful digression: energy units Trap potential Trap potential Ground state orbital and the trap potential Ground state orbital and the trap potential Ground state orbital and the trap potential Filling the trap with particles: IDOS, DOS Filling the trap with particles Filling the trap with particles Exact expressions for critical temperature etc. How good is the thermodynamic limit How good is the thermodynamic limit How good is the thermodynamic limit How good is the thermodynamic limit How sharp is the transition Seeing the condensate – reminescence of L2 OPDM in the Trap OPDM in the Trap OPDM in the Trap, Particle Density in Space OPDM in the Trap, Particle Density in Space OPDM in the Trap, Particle Density in Space Particle Density in Space: Boltzmann Limit Particle Density in Space: Boltzmann Limit Particle Density in Space: Boltzmann Limit Particle Density in Space: Boltzmann Limit Real space Image of an Atomic Cloud Real space Image of an Atomic Cloud Real space Image of an Atomic Cloud Real space Image of an Atomic Cloud Particle Velocity (Momentum) Distribution Thermal Particle Velocity (Momentum) Distribution BEC observed by TOF in the velocity distribution The end