Reactive collisions of two ultracold particles in a harmonic trap

Abstract

We consider two ultracold particles confined in spherically symmetric harmonic trap and interacting via isotropic potential with absorbing boundary conditions at short range that models reactive scattering. First, we apply the contact pseudopotential with complex scattering length and investigate the properties of eigenergies and eigenfunctions for different trap states as a function of real and imaginary part of the scattering length. In the analyzed case the eigenenergies take complex values, and their imaginary part can be interpreted in terms of decay rates. Then we introduce the model of a square well with absorbing boundary conditions that is later used to investigate the effects of the finite range of interaction on the properties of a reactive scattering in the trap. Finally, we analyze the decay rates for some reactive alkali dimer molecules assuming short-range probability of reaction equal to unity. In this case the complex scattering length is given by universal value related to the mean scattering length of van der Waals interaction between molecules.

9 pages

References in corpus (12)

• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Creation of a low-entropy quantum gas of polar molecules in an optical lattice
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Universal rates for reactive ultracold polar molecules in reduced dimensions
• Dynamics of ultracold molecules in confined geometry and electric field
• Electric field suppression of ultracold confined chemical rates
• Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
• Quantum defect model of a reactive collision at finite temperature
• Polar molecule reactive collisions in quasi-1D systems

Cited by in corpus (2)

• Two interacting ultracold molecules in a one-dimensional harmonic trap
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