Short-Wave Excitations in Non-Local Gross-Pitaevskii Model

Details Short-Wave Excitations in Non-Local Gross-Pitaevskii Model Short-Wave Excitations in Non-Local Gross-Pitaevskii Model

2010-04-03

arxiv.org/abs/1004.0442v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, UJP style; presented at Bogolyubov Kyiv Conference "Modern Problems of Theoretical and Mathematical Physic

Scientific paper

It is shown, that a non-local form of the Gross-Pitaevskii equation allows to describe not only the long-wave excitations, but also the short-wave ones in the systems with Bose-condensate. At given parameter values, the excitation spectrum mimics the Landau spectrum of quasi-particle excitations in superfluid Helium with roton minimum. The excitation wavelength, at which the roton minimum exists, is close to the inter-particle interaction range. It is shown, that the existence domain of the spectrum with a roton minimum is reduced, if one accounts for an inter-particle attraction.

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