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Few-body physics of ultracold atoms and molecules in confined geometry

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##### Few-body physics of ultracold atoms and molecules in confined geometry

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**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?