Confinement-Induced Resonances in Two-Center Problem via Pseudopotential Approach

Abstract

We study confined scattering of a quantum particle by two centers fixed on the longitudinal axis of a harmonic waveguide-like trap. The conditions of confinement-induced resonances (CIRs) appearing in these systems, when scattering cross section approaches the unitary limit, are derived for a regularized pseudopotential describing particle interaction with scattering centers. In the limit of a single center, the position of CIR for even state tends to the well-known result obtained by Olshanii. Our result can be applicable to confined atomic scattering by fixed impurities, like ions or Rydberg atoms, with possible extension to $N$ impurities, or by two-atomic molecules.

arXiv comment19 pages, 7 figures

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Cited by in corpus (4)

• Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps
• Many-body effects on second-order phase transitions in spinor Bose-Einstein condensates and breathing dynamics
• Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
• Bound states of an ultracold atom interacting with a set of stationary impurities