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Anomalous Effects in a Trapped Bose-Einstein Condensate

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arxiv 1303.5639 v1 pith:5HLWRAJQ submitted 2013-03-22 cond-mat.quant-gas cond-mat.stat-mech

Benarous Mohamed This is my paper · ORCID
classification cond-mat.quant-gascond-mat.stat-mech
keywords anomalouscondensatefinitetrappedvariationaladoptbosebose-einstein
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We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The renormalization that we adopt is more reliable and compatible with the variational scheme. The main outcome is that the anomalous and non condensate densities are of the

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