Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps
E. Castellanos+, F. Briscese*× 1), M. Grether° 1), M. de Llano∇ 1)
+Mesoamerican Centre for Theoretical Physics (ICTP regional headquarters in Central America, the Caribbean and Mexico), Universidad Autónoma de Chiapas, Ciudad Universitaria, Real del Bosque (Terán), 29040 Tuxtla Gutiérrez, Chiapas, México *Departamento de Física, CCEN, Universidade Federal da Paraíba, Cidade Universitária, 58051-970 Joo Pessoa, PB, Brazil ×Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale di Fisica Matematica, CittàUniversitaria, 00185 Rome, EU °Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México, DF, México ∇Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, A. P. 70-360, 04510 México, DF, México
Abstract
We study the shift Δ Tc in the
condensation temperature of an atomic Bose-Einstein condensate
trapped in a temperature-dependent three-dimensional generic
potential. With no assumptions other than the mean-field approach
and the semiclassical approximation, it is shown that the
inclusion of a T-dependent trap improves upon the pure
semiclassical result giving better agreement between the predicted
Δ Tc and its experimental value. However,
despite this improvement, the effect of a T-dependent
trap is not sufficient to fully reduce the discrepancy between
theoretical prediction and data.
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