Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates

V. I. Yukalov; E. P. Yukalova; V. S. Bagnato

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Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates

V. I. Yukalov·E. P. Yukalova·V. S. Bagnato

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Abstract

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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V. I. Yukalov, E. P. Yukalova, V. S. Bagnato. 2002-01-20. Critical Effects in Population Dynamics of Trapped Bose-Einstein Condensates. https://arxiv.org/abs/cond-mat/0201357

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