Effective-range description of a Bose gas under strong one- or two-dimensional confinement

Abstract

We point out that theories describing s-wave collisions of bosonic atoms confined in one- or two-dimensional geometries can be extended to much tighter confinements than previously thought. This is achieved by replacing the scattering length by an energy-dependent scattering length which was already introduced for the calculation of energy levels under 3D confinement. This replacement accurately predicts the position of confinement-induced resonances in strongly confined geometries.

6 pages, 3 figures

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Cited by in corpus (39)

• Feshbach Resonances in Ultracold Gases
• Confinement-Induced Resonances in Low-Dimensional Quantum Systems
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Universal ultracold collision rates for polar molecules of two alkali-metal atoms
• Scattering resonances and two-particle bound states of the extended Hubbard model
• Multi-Channel Atomic Scattering and Confinement-Induced Resonances in Waveguides
• Heteronuclear molecules in an optical lattice: Theory and experiment
• Confinement induced resonances in anharmonic waveguides
• Non-destructive selective probing of phononic excitations in a cold Bose gas using impurities
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
• Vortex motion quantifies strong dissipation in a holographic superfluid
• Effective-range approximations for resonant scattering of cold atoms
• Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Radio frequency spectra of Feshbach molecules in quasi-two dimensional geometries
• Controlling decoherence speed limit of a single impurity atom in a Bose-Einstein-condensate reservoir
• Reactive collisions in confined geometries
• Tunneling phase gate for neutral atoms in a double-well lattice
• Mott-Insulator-Aided Detection of Ultra-Narrow Feshbach Resonances
• Quasi-1D scattering with general transverse 2D confinement
• Improving Efficiency of Sympathetic Cooling in Atom-Ion and Atom-Atom Confined Collisions
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Single-atom transistor as a precise magnetic field sensor
• Restricted Thermalization for Two Interacting Atoms in a Multimode Harmonic Waveguide
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy
• Ultracold-atom collisions in atomic waveguides : A two-channel analysis
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model
• Magnetic-field gradiometer based on ultracold collisions
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Confinement induced interlayer molecules: a route to strong interatomic interactions
• One-dimensional ultracold atomic gases: Impact of the effective range on integrability
• Precise Feshbach resonance spectroscopy using tight anharmonic traps
• Faddeev equations in one-dimensional problems with resonant interactions
• Confinement-induced resonance from the generalized Gross-Pitaevskii equations