One-dimensional Bose chemistry: effects of non-integrability
arXiv:physics/0512033 · doi:10.1103/PhysRevLett.96.163201
Abstract
Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in the three-body problem reduces the interaction to a one-channel zero-range one with an energy dependent strength. The related problem with an energy independent strength (the Lieb-Liniger-McGuire model) has an exact solution and forbids all chemical processes, such as three-atom association and diatom dissociation, as well as reflection in atom-diatom collisions. The resonant case is analyzed by a numerical solution of the Faddeev-Lovelace equations. The results demonstrate that as the internal symmetry of the Lieb-Liniger-McGuire model is lifted, the reflection and chemical reactions become allowed and may be observed in experiments.
5 pages, 4 figures
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Cited by in corpus (19)
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- Thermalization in a quasi-1D ultracold bosonic gas
- Universal low-energy properties of three two-dimensional particles
- Bound states and scattering lengths of three two-component particles with zero-range interactions under one-dimensional confinement
- Universal bound states of one-dimensional bosons with two- and three-body attractions
- Three-Body Recombination in One Dimension
- Mismatch management for optical and matter-wave quadratic solitons
- Properties of quasi-one-dimensional molecules with Feshbach resonance interaction
- Three-body forces and Efimov physics in nuclei and atoms
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- Control of Ultra-cold Inelastic Collisions by Feshbash Resonances and Quasi-One-Dimensional Confinement
- Restricted Thermalization for Two Interacting Atoms in a Multimode Harmonic Waveguide
- Controlling integrability in a quasi-1D atom-dimer mixture
- Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model
- Traces of integrability in scattering of one-dimensional dimers on a barrier
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- Effects of nonintegrability on stabilization of Feshbach molecules in atom waveguides
- Faddeev equations in one-dimensional problems with resonant interactions