Boson Pairs in a One-dimensional Split Trap

Abstract

We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the reduced single-particle density, the momentum distribution and the two-particle entanglement. We derive several analytical expressions in the limit of infinite repulsion (Tonks-Girardeau limit) and extend the treatment to finite interparticle interactions by numerical solution. As pair interactions in double wells form a fundamental building block for many-body systems in periodic potentials, our results have implications for a wide range of problems.

9 pages, 8 figures

References in corpus (6)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• General criterion for the entanglement of two indistinguishable particles
• Ultracold Few-Boson Systems in a Double-Well Trap
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
• A Tonks Giradeau Gas in the Presence of a Local Potential

Cited by in corpus (3)

• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• Low-energy excitations of a boson pair in a double-well trap