Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential

We develop an approach for a description of collective excitations in a two-dimensional gas of interacting Bose particles in an external potential. We present a method of finding an approximate analytical solution for the spectra of collective excitations of a Bose gas in a linear potential and in a...

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Published in:Вопросы атомной науки и техники
Date:2001
Main Authors: Fil, D.V., Shevchenko, S.I.
Format: Article
Language:English
Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2001
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/80052
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential / D.V. Fil, S.I. Shevchenko // Вопросы атомной науки и техники. — 2001. — № 6. — С. 365-369. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Fil, D.V.
Shevchenko, S.I.
author_facet Fil, D.V.
Shevchenko, S.I.
citation_txt Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential / D.V. Fil, S.I. Shevchenko // Вопросы атомной науки и техники. — 2001. — № 6. — С. 365-369. — Бібліогр.: 15 назв. — англ.
collection DSpace DC
container_title Вопросы атомной науки и техники
description We develop an approach for a description of collective excitations in a two-dimensional gas of interacting Bose particles in an external potential. We present a method of finding an approximate analytical solution for the spectra of collective excitations of a Bose gas in a linear potential and in a potential of the form u(r)=m-u₀cosh²x/l, where m is the chemical potential. Numerical study shows that the analytical solution corresponds to collective modes localized at the edge or at the low-density region. We investigate the influence of the external potential on a critical velocity of a superfluid flow. It is shown that the effect of strong suppression of the critical velocity takes place in a nonuniform Bose system. We discuss a possibility of Bose-Einstein condensation (BEC) in the systems under investigations at nonzero temperatures and find that in case of a finite number of the particles BEC can emerge.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1562-6016
language English
last_indexed 2025-12-07T16:49:36Z
publishDate 2001
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
record_format dspace
spelling Fil, D.V.
Shevchenko, S.I.
2015-04-09T16:47:19Z
2015-04-09T16:47:19Z
2001
Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential / D.V. Fil, S.I. Shevchenko // Вопросы атомной науки и техники. — 2001. — № 6. — С. 365-369. — Бібліогр.: 15 назв. — англ.
1562-6016
PACS: O3.75.Fi
https://nasplib.isofts.kiev.ua/handle/123456789/80052
We develop an approach for a description of collective excitations in a two-dimensional gas of interacting Bose particles in an external potential. We present a method of finding an approximate analytical solution for the spectra of collective excitations of a Bose gas in a linear potential and in a potential of the form u(r)=m-u₀cosh²x/l, where m is the chemical potential. Numerical study shows that the analytical solution corresponds to collective modes localized at the edge or at the low-density region. We investigate the influence of the external potential on a critical velocity of a superfluid flow. It is shown that the effect of strong suppression of the critical velocity takes place in a nonuniform Bose system. We discuss a possibility of Bose-Einstein condensation (BEC) in the systems under investigations at nonzero temperatures and find that in case of a finite number of the particles BEC can emerge.
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Quantum fluids
Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
Коллективные возбуждения и сверхтекучие свойства двумерного взаимодействующего бозе-газа во внешнем потенциале
Article
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spellingShingle Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
Fil, D.V.
Shevchenko, S.I.
Quantum fluids
title Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
title_alt Коллективные возбуждения и сверхтекучие свойства двумерного взаимодействующего бозе-газа во внешнем потенциале
title_full Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
title_fullStr Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
title_full_unstemmed Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
title_short Collective excitations and superfluid properties of a two-dimensional interacting Bose gas in an external potential
title_sort collective excitations and superfluid properties of a two-dimensional interacting bose gas in an external potential
topic Quantum fluids
topic_facet Quantum fluids
url https://nasplib.isofts.kiev.ua/handle/123456789/80052
work_keys_str_mv AT fildv collectiveexcitationsandsuperfluidpropertiesofatwodimensionalinteractingbosegasinanexternalpotential
AT shevchenkosi collectiveexcitationsandsuperfluidpropertiesofatwodimensionalinteractingbosegasinanexternalpotential
AT fildv kollektivnyevozbuždeniâisverhtekučiesvoistvadvumernogovzaimodeistvuûŝegobozegazavovnešnempotenciale
AT shevchenkosi kollektivnyevozbuždeniâisverhtekučiesvoistvadvumernogovzaimodeistvuûŝegobozegazavovnešnempotenciale