Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential

Abstract

The dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential is studied. We compare the exact dynamics governed by a full two-body Hamiltonian with the dynamics obtained in a two-mode model approximation. We show that for sufficiently large interactions the two-mode model breaks down and higher single-particle states have to be taken into account to describe the dynamical properties of the system correctly.

Authors' version accepted in EPJ D. Includes published corrections as of 2024 (corrected Eq. (12b) and Fig. 4). Erratum.pdf included in the full tar.gz file