Multi-Channel Atomic Scattering and Confinement-Induced Resonances in Waveguides

Abstract

We develop a grid method for multi-channel scattering of atoms in a waveguide with harmonic confinement. This approach is employed to extensively analyze the transverse excitations and deexcitations as well as resonant scattering processes. Collisions of identical bosonic and fermionic as well as distinguishable atoms in harmonic traps with a single frequency $\omega$ permitting the center-of-mass (c.m.) separation are explored in depth. In the zero-energy limit and single mode regime we reproduce the well-known confinement-induced resonances (CIRs) for bosonic, fermionic and heteronuclear collisions. In case of the multi-mode regime up to four open transverse channels are considered. Previously obtained analytical results are extended significantly here. Series of Feshbach resonances in the transmission behaviour are identified and analyzed. The behaviour of the transmission with varying energy and scattering lengths is discussed in detail. The dual CIR leading to a complete quantum suppression of atomic scattering is revealed in multi-channel scattering processes. Possible applications include, e.g., cold and ultracold atom-atom collisions in atomic waveguides and electron-impurity scattering in quantum wires.

35 pages, 18 figures

References in corpus (6)

• Suppression of Quantum Scattering in Strongly Confined Systems
• Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
• Effective-range description of a Bose gas under strong one- or two-dimensional confinement
• Atom-dimer scattering for confined ultracold fermion gases
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Feshbach resonance scattering under cylindrical harmonic confinement

Cited by in corpus (1)

• Faddeev equations in one-dimensional problems with resonant interactions