3 years ago

Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry.

G. M. Kavoulakis, M. Gulliksson, M. Magiropoulos, A. Roussou, Nikolaos K. Efremidis, M. Ögren, P. Sandin, J. Smyrnakis

We study the rotational properties of a two-component Bose-Einstein condensed gas of distinguishable atoms which are confined in a ring potential using both the mean-field approximation, as well as the method of diagonalization of the many-body Hamiltonian. We demonstrate that the angular momentum may be given to the system either via single-particle, or "collective" excitation. Furthermore, despite the complexity of this problem, under rather typical conditions the dispersion relation takes a remarkably simple and regular form. Finally, we argue that under certain conditions the dispersion relation is determined via collective excitation. The corresponding many-body state, which, in addition to the interaction energy minimizes also the kinetic energy, is dictated by elementary number theory.

Publisher URL: http://arxiv.org/abs/1710.11441

DOI: arXiv:1710.11441v1

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