On the anomalous density for Bose gases at finite temperature

Details On the anomalous density for Bose gases at finite temperature On the anomalous density for Bose gases at finite temperature

2011-04-04

arxiv.org/abs/1104.0690v4

Phys. Rev. A 84, 043633 (2011)

Physics

Condensed Matter

Quantum Gases

19 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevA.84.043633

We analyze the behavior of the anomalous density as function of the radial distance at different temperatures in a variational framework. We show that the temperature dependence of the anomalous density agrees with the Hartree-Fock-Bogoliubov (HFB) calculations. Comparisons between the normal and the anomalous fractions at low temperature show that the latter remains higher and consequently the neglect of the anomalous density may destabilize the condensate. These results are compatible with those of Yukalov. Surprisingly, the study of the anomalous density in terms of the interaction parameter shows that the dip in the central density is destroyed for sufficiently weak interactions. We explain this effect.

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