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

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• Quantum dynamics of resonant molecule formation in waveguides
• Coupled $\ell$-wave confinement-induced resonances in cylindrically symmetric waveguides
• Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy
• Interaction Driven Interband Tunneling of Bosons in the Triple Well
• Multichannel Effects near Confinement-Induced Resonances in Harmonic Waveguides
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Polar molecule reactive collisions in quasi-1D systems
• Shifts and widths of Feshbach resonances in atomic waveguides
• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap
• An analytical approach to atomic multichannel collisions in tight harmonic waveguides
• Energy dependent $\ell$-wave confinement-induced resonances
• Improving Efficiency of Sympathetic Cooling in Atom-Ion and Atom-Atom Confined Collisions
• Resonant d-wave scattering in harmonic waveguides
• Interaction of a propagating guided matter wave with a localized potential
• Observing dipolar confinement-induced resonances in waveguides
• Beyond mean-field study of a binary bosonic mixture in a state-dependent honeycomb lattice
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy
• Description of ultracold atoms in a one-dimensional geometry of a harmonic trap with a realistic interaction
• Ultracold-atom collisions in atomic waveguides : A two-channel analysis
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Multichannel Scattering and Loss Processes of Ultracold Atoms in Anisotropic Harmonic Waveguides
• Sub- and supercritical defect scattering in Schrödinger chains with higher-order hopping
• Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
• Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides
• Confinement-Induced Resonance with Weak Background Interaction
• Beyond-mean-field phases of rotating dipolar condensates
• Faddeev equations in one-dimensional problems with resonant interactions