Self-consistent field theory of polarized BEC: dispersion of collective excitation

Details Self-consistent field theory of polarized BEC: dispersion of collective excitation Self-consistent field theory of polarized BEC: dispersion of collective excitation

2012-01-11

arxiv.org/abs/1201.2440v1

Physics

Condensed Matter

Quantum Gases

16 pages, 15 figures. arXiv admin note: substantial text overlap with arXiv:1106.0822

Scientific paper

We propose the construction of a set of quantum hydrodynamics equations for the Bose-Einstein condensate (BEC) where atoms have electric dipole moment. The contribution of the dipole-dipole interactions (DDI) to the Euler equation is estimated. Quantum equations for the evolution of medium polarization are constructed. The mathematical method we developed allows studying the effects of interactions on the evolution of polarization. The developed method may be applied to various physical systems in which dynamics is affected by DDI. Derivation of Gross-Pitaevskii equation for polarized particles is discussed using point of view of quantum hydrodynamics. We shown that Gross-Pitaevskii equation appear at condition there all dipoles has the same direction which does not change in time. Comparison of equation of electric dipole interaction with equation of magnetization evolution is described. A problem of elementary excitations in BEC, either affected or not affected by the uniform external electric field, is considered using our method. We show that the evolution of polarization in BEC leads to the formation of a novel type of elementary excitations. Detailed description of dispersion of elementary excitations is presented. We consider also the process of wave generation in polarized BEC by means of monoenergetic beam of neutral polarized particles. We compute the possibilities of the generation of Bogoliubov's modes and polarization modes by the dipole beam.

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