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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina

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IMPACT FACTOR 2016 (Open Physics): 0.745
IMPACT FACTOR 2016 (Central European Journal of Physics): 0.765

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2391-5471
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Volume 9, Issue 3

Issues

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

Anatoly Ivashin
  • A.I. Akhiezer Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya Str., Kharkov, UA-61108, Ukraine
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/ Yuri Poluektov
  • A.I. Akhiezer Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya Str., Kharkov, UA-61108, Ukraine
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Published Online: 2011-02-26 | DOI: https://doi.org/10.2478/s11534-010-0124-7

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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About the article

Published Online: 2011-02-26

Published in Print: 2011-06-01


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

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