Quantum instabilities in the system of identical bosons

Details Quantum instabilities in the system of identical bosons Quantum instabilities in the system of identical bosons

2005-09-30

arxiv.org/abs/cond-mat/0509804v1

Physics

Condensed Matter

Other Condensed Matter

12 pages. 2 figures. To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2005.09.052

The quantum instability of the mean-field theory for identical bosons is shown to be described by an appropriate Bogoliubov transformation. A connection between the quantum and classical linear stability theories is indicated. It is argued that the instability rate in a system of identical bosons must be strongly affected by the nonlinear terms (interactions). In the case of the repulsive interactions or strong attractive interactions the instability rate is suppressed. On the other hand, a weak attraction significantly enhances the instability rate. The results can have applications in the field of Bose-Einstein condensates of dilute quantum gases.

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