Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental achievements (laser cooling, optical traps, atomic chips) New physics: quantum gases, physics of Bose-Einstein condensations Problems: low-dimensional few-body physics Theoretical models (simple ones) Resent results (extended models) Perspectives, what is going to happen ? 3-5 Feb 2010, Dubna
Creation of ultracold atoms and molecules (quantum gases) Progress in production of ultracold atoms and molecules: laser cooling V.S.Letokhov,V.G.Minogin andB.D.Pavlik, ZhTPH, 72, 1328 (1977) The Nobel Prize in Physics 1997
Dilute gas two distance scales: and Boltsmann gas Quantum statistics bosons BEC = macroscopic occupation of a single quantum state
BEC objects Neutron stars R Superfluid Exitones in semiconductors Dilute atomic gases Collective behavior of extremely dilute systems Generation of coherent matter waves
ultracold atoms in optical traps, atomic chips, quantum wires
Botsmann gas quantum gass Two-Body Problem in Restricted Geometry: a) Quantization in the direction of the confinement +
Two-body problem in confined geometry non-separable two-body problem simple model: pseudopotential approach (zero-range potential) Isotropic confinement:
Physical interpretation of CIR • CIR is a zero-energy Feshbach resonance, occurring when the energy of a bound state of the asymptotically closed channels coincides with the continuum threshold of the open channel.
Experimental observation of CIR strongly-correlated Tonk-Girardeau gas (Innsbruck ) B
What happens if atoms scatter in excited states? E What happens in collision of two distinguishable particles in a harmonic waveguide if ? What happens if inelastic collisions? Molecule formation?