The three-body pseudo-potential for atoms confined in one dimension

Abstract

Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the vicinity of the dimer threshold a direct connection is made between the zero-range potential and the dimensional reduction of the three-body Schr{ö}dinger equation.

References in corpus (10)

• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Quantum droplet of one-dimensional bosons with a three-body attraction
• One-dimensional three-boson problem with two- and three-body interactions
• Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Universal bound states of one-dimensional bosons with two- and three-body attractions
• Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
• A Pure Confinement Induced Trimer in One-Dimensional Atomic Waveguides
• Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture
• Controlling integrability in a quasi-1D atom-dimer mixture

Cited by in corpus (10)

• Direct Measurements of Collisional Dynamics in Cold Atom Triads
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Three-body repulsive forces among identical bosons in one dimension
• Probing open- and closed-channel p-wave resonances
• Three-body interaction near a narrow two-body zero crossing
• Anomalous frequency shifts in a one-dimensional trapped Bose gas
• Three-body bound states of two bosons and one impurity in one dimension
• Achieving one-dimensionality with attractive fermions
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential