ar X iv : q ua nt - p h / 03 04 09 3 v 1 12 A pr 2 00 3 Quantum State Control via Trap - induced Shape Resonance in Ultracold Atomic Collisions
نویسنده
چکیده
We investigate controlled collisions between trapped but separated ultracold atoms. The interaction between atoms is treated self-consistently using an energy-dependent delta-function pseudopotential model, whose validity we establish. At a critical separation, a “trap-induced shape resonance” between a molecular bound states and a vibrational eigenstate of the trap can occur. This resonance leads to an avoided crossing in the eigenspectrum as a function of separation. We investigate how this new resonance can be employed for quantum control.
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