Two ultracold atoms in a completely anisotropic trap

Abstract

As a limiting case of ultracold atoms trapped in deep optical lattices, we consider two interacting atoms trapped in a general anisotropic harmonic oscillator potential, and obtain exact solutions of the Schrodinger equation for this system. The energy spectra for different geometries of the trapping potential are compared.

4 pages, 2 figures

References in corpus (10)

• Ultracold heteronuclear molecules in a 3D optical lattice
• Molecules of Fermionic Atoms in an Optical Lattice
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Pseudopotential method for higher partial wave scattering
• Feshbach resonances in an optical lattice
• Fermions in Optical Lattices across Feshbach Resonance
• Two atoms in an anisotropic harmonic trap
• Generalized Pseudopotentials for Higher Partial Wave Scattering
• BEC-BCS crossover in an optical lattice
• Dressed molecules in an optical lattice

Cited by in corpus (9)

• Few-body physics with ultracold atomic and molecular systems in traps
• Inelastic Confinement-Induced Resonances in Low-Dimensional Quantum Systems
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion
• Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• Confinement-induced resonance from the generalized Gross-Pitaevskii equations