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formerly Central European Journal of Physics

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Short-wave excitations in non-local Gross-Pitaevskii model

1A.I. Akhiezer Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya Str., Kharkov, UA-61108, Ukraine

© 2010 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Open Physics. Volume 9, Issue 3, Pages 857–864, ISSN (Online) 2391-5471, DOI: 10.2478/s11534-010-0124-7, February 2011

Publication History

Published Online:
2011-02-26

Abstract

We show that a non-local form of the Gross-Pitaevskii equation describes not only long-wave excitations, but also the short-wave ones in Bose-condensate systems. At certain 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. We determine how the roton gap and the effective roton mass depend on the interaction potential parameters, and show that the existence domain of the spectrum with a roton minimum is reduced if one accounts for an inter-particle attraction.

Keywords: quasi-particle excitations; Gross-Pitaevskii equation; Landau spectrum; roton minimum

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