Controlled collisions of two ultracold atoms in separate harmonic traps

Abstract

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.

arXiv comment11 pages, 11 figures

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Cited by in corpus (16)

• Atom-ion quantum gate
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Formation of ultracold molecules by merging optical tweezers
• Analytical model of overlapping Feshbach resonances
• Quantum dynamics of an atomic double-well system interacting with a trapped ion
• Anharmonicity Induced Resonances for Ultracold Atoms and their Detection
• Correlated Quantum Dynamics of a Single Atom Collisionally Coupled to an Ultracold Finite Bosonic Ensemble
• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• Controlling the dynamics of ultracold polar molecules in optical tweezers
• An eccentrically perturbed Tonks-Girardeau gas
• Non-locality of Two Ultracold Trapped Atoms
• Quantum state engineering with a trapped atom and a set of static impurities
• Feshbach resonances of harmonically trapped atoms
• Probing the interaction energy of two ${}^{85}$Rb atoms in an optical tweezer via spin-motion coupling
• Excited state preparation of trapped ultracold atoms via swept potentials