Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry. (English) Zbl 07858180
Summary: 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.
MSC:
| 82B10 | Quantum equilibrium statistical mechanics (general) |
| 81V70 | Many-body theory; quantum Hall effect |
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