Ultracold-atom collisions in atomic waveguides : A two-channel analysis
arXiv:1412.4921 · doi:10.1103/PhysRevA.91.042703
Abstract
Low dimensional behavior of two ultra-cold atoms trapped in two-and one-dimensional waveguides is investigated in the vicinity of a magnetic Feshbach resonance. A quantitative two-channel model for the Feshbach mechanism is used allowing an exhaustive analysis of low-dimensional resonant scattering behavior and of the confinement induced bound states. The role of the different parameters of the resonance is depicted in this context. Results are compared with the ones of the zero-range approach. The relevance of the effective range approximation in low dimensions is studied. Examples of known resonances are used to illustrate the bound state properties.
References in corpus (36)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Bose-Einstein condensation in quasi2D trapped gases
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Resonance superfluidity in a quantum degenerate Fermi gas
- Interatomic collisions in a tightly confined Bose gas
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Confinement-Induced Resonances in Low-Dimensional Quantum Systems
- Three-boson problem near a narrow Feshbach resonance
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- Two-dimensional Bose-Einstein condensate in an optical surface trap
- Feshbach resonances in ultracold K(39)
- Number of closed-channel molecules in the BEC-BCS crossover
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Analytical solution of the bosonic three-body problem
- Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
- Feshbach resonances with large background scattering length: interplay with open-channel resonances
- Resonant Scattering of Ultracold Atoms in Low Dimensions
- Effective-range description of a Bose gas under strong one- or two-dimensional confinement
- An impurity in a Fermi sea on a narrow Feshbach resonance: A variational study of the polaronic and dimeronic branches
- Coherence properties of a 2D trapped Bose gas around the superfluid transition
- Three-body problem for ultracold atoms in quasi-one-dimensional traps
- Multi-Channel Atomic Scattering and Confinement-Induced Resonances in Waveguides
- Three Resonant Ultra-Cold Bosons: Off-Resonance Effects
- Coupled-channel pseudo-potential description of the Feshbach resonance in two dimensions
- Isotropic contact forces in arbitrary representation: heterogeneous few-body problems and low dimensions
- Quantum Scattering in Quasi-1D Cylindrical Confinement
- Feshbach resonance scattering under cylindrical harmonic confinement
- Internal structure of a quantum soliton and classical excitations due to trap opening
- Efimov trimers under strong confinement
- Multichannel Effects near Confinement-Induced Resonances in Harmonic Waveguides
- Ultracold bosons in the vicinity of a narrow resonance: shallow dimer and recombination
- Shifts and widths of Feshbach resonances in atomic waveguides
- Many Bosons in a Narrow Magnetic Feshbach Resonance
Cited by in corpus (7)
- Universal few-body physics and cluster formation
- A Pure Confinement Induced Trimer in One-Dimensional Atomic Waveguides
- Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
- Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonances
- One-dimensional ultracold atomic gases: Impact of the effective range on integrability
- General features and contact modeling of -body isolated resonances near threshold
- Second-order virial expansion for an atomic gas in a harmonic waveguide