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

• Authors: Anatoly Ivashin , Yuri Poluektov
• Languages of publication: EN

Abstracts

EN

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

EN

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

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 3
• Pages: 857-864

Dates

published

1 - 6 - 2011

online

26 - 2 - 2011

Contributors

author

Anatoly Ivashin

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

author

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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Identifiers

DOI

10.2478/s11534-010-0124-7