Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential
1 Faculty of Mathematics and Natural
Sciences, Cardinal Stefan Wyszyński University ul. Wóycickiego 1/3,
2 Institute of Physics of the Polish Academy of SciencesAl. Lotników 32/46, 02-668 Warsaw, Poland
a e-mail: firstname.lastname@example.org
Received in final form: 1 March 2016
Published online: 12 April 2016
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.
Key words: Cold Matter and Quantum Gas
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