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

  • Jacek Dobrzyniecki
  • Tomasz Sowiński
Open Access
Regular Article

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

Keywords

Cold Matter and Quantum Gas 

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Copyright information

© The Author(s) 2016

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University ul. Wóycickiego 1/3WarsawPoland
  2. 2.Institute of Physics of the Polish Academy of SciencesAl. Lotników 32/46WarsawPoland

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