Description of ultracold atoms in a one-dimensional geometry of a harmonic trap with a realistic interaction

Abstract

We compute the ground state energy of two atoms in a one-dimensional geometry of a harmonic optical trap. We obtain a dependence of the energy on a one-dimensional scattering length, which corresponds to various strengths of the interaction potential of a gaussian type. The calculation is performed by numerical and analytical methods. For the analytical method we choose the oscillator representation method (OR), which has been successfully applied to computations of bound states of various few-body systems. The main results of this paper are: 1) numerical investigation of the validity range of the previously used pseudopotential method; 2) investigation of the validity range of the OR for a superposition of parabolic and gaussian potentials.

in Russian

References in corpus (2)

• Multi-Channel Atomic Scattering and Confinement-Induced Resonances in Waveguides
• Confinement induced resonances in anharmonic waveguides

Cited by in corpus (4)

• Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
• Quench dynamics of two interacting atoms in a one-dimensional anharmonic trap
• Molecular excited state in the interaction quench dynamics of two different atoms in a two-dimensional anisotropic trap
• Tunneling of two interacting atoms from excited states