On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates

Details On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates

2001-06-23

arxiv.org/abs/cond-mat/0106488v1

Physics

Condensed Matter

Soft Condensed Matter

submitted to Phys. Rev

Scientific paper

We argue that the classical form of the dipole-dipole interaction energy cannot be used to model the interaction of the bosons in a dilute Bose-Einstein condensate made of polar atoms. This fact is due to convergence of integrals, if no additional restrictions are introduced. The problem can be regularized, in particular, by introducing a hard sphere model. As an example we propose a regularization consistent with the long range behavior of the effective potential and with the scattering amplitude of the fast particles.

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