Controlled collisions of two ultracold atoms in separate harmonic traps

Details Controlled collisions of two ultracold atoms in separate harmonic traps Controlled collisions of two ultracold atoms in separate harmonic traps

2009-04-27

arxiv.org/abs/0904.4203v3

Phys. Rev. A 80, 022710 (2009)

Physics

Condensed Matter

Quantum Gases

11 pages, 11 figures

Scientific paper

10.1103/PhysRevA.80.022710

We consider controlled collisions between two ultracold atoms guided by external harmonic potentials. We derive analytical solutions of the Schroedinger equation for this system, and investigate the properties of eigenergies and eigenstates for different trap geometries as a function of a trap separation and of the scattering length. When varying the trap separation the energy spectrum exhibits avoided crossings, corresponding to trap-induced shape resonances. Introducing an energy-dependent scattering length we investigate the behavior of the system in the vicinity of a magnetic Feshbach resonance. Finally, we illustrate our analytical results with two examples: the quantum phase gate controlled by the external magnetic field, and a scheme for a coherent transport of atoms in optical lattices into higher Bloch bands.

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