Abstract
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. Graphical abstract
Highlights
Double-well confinement is one of the simplest examples where quantum dynamics manifests its nonintuitive properties [1,2]
Our aim is to compare the exact dynamics of the state governed by the full many-body Hamiltonian (7) with the dynamics predicted by a simplified model in a two-mode approximation, i.e. when the decomposition (6) is cut down to the two lowest single-particle states, i = 0
For shallow barriers, when the interaction energy is comparable with the energy gap to higher orbitals, terms neglected in the original Hamiltonian start to influence the dynamics and an evolution for the same ratio U/J starts to depend on λ
Summary
Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential. This article is published with open access at Springerlink.com
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