Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates

Details Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates

2002-01-20

arxiv.org/abs/cond-mat/0201357v1

Laser Phys. 12 (2002) 231-239

Physics

Condensed Matter

Latex file, 12 pages, no figures. Special Issue on Bose-Einstein Condensation of Trapped Atoms

Scientific paper

The population dynamics of a trapped Bose-Einstein condensate, subject to the action of an external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition frequency between the ground state and a higher energy level. For the evolution equations of fractional populations, a critical line is found. It is demonstrated that there exists a direct analogy between dynamical instability at this line and critical phenomena at a critical line of an averaged system. The related critical indices are calculated. The spatio-temporal evolution of atomic density is analyzed.

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