Confinement induced resonances in anharmonic waveguides

Abstract

We develop the theory of anharmonic confinement-induced resonances (ACIR). These are caused by anharmonic excitation of the transverse motion of the center of mass (COM) of two bound atoms in a waveguide. As the transverse confinement becomes anisotropic, we find that the COM resonant solutions split for a quasi-1D system, in agreement with recent experiments. This is not found in harmonic confinement theories. A new resonance appears for repulsive couplings ($a_{3D}>0$) for a quasi-2D system, which is also not seen with harmonic confinement. After inclusion of anharmonic energy corrections within perturbation theory, we find that these ACIR resonances agree extremely well with anomalous 1D and 2D confinement induced resonance positions observed in recent experiments. Multiple even and odd order transverse ACIR resonances are identified in experimental data, including up to N=4 transverse COM quantum numbers.

16 pages,6 fugures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Scattering in Mixed Dimensions with Ultracold Gases
• Universal Fermi gases in mixed dimensions
• Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances
• 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
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Confinement-induced p-wave resonances from s-wave interactions

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• Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
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