On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall

The finite-size effects in two segregated Bose-Einstein condensates (BECs) restricted by a hard wall is studied by means of the Gross-Pitaevskii equations in the double-parabola approximation (DPA). Starting from the consistency between the boundary conditions (BCs) imposed on condensates in confin...

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Дата:2019
Автори: Quyet, H.V., Thu, N.V., Tam, D.T., Phat, T.H.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2019
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/157633
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall / H.V. Quyet, N.V. Thu, D.T. Tam, T.H. Phat // Condensed Matter Physics. — 2019. — Т. 22, № 1. — С. 13001: 1–14. — Бібліогр.: 31назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1576332019-06-21T01:29:27Z On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall Quyet, H.V. Thu, N.V. Tam, D.T. Phat, T.H. The finite-size effects in two segregated Bose-Einstein condensates (BECs) restricted by a hard wall is studied by means of the Gross-Pitaevskii equations in the double-parabola approximation (DPA). Starting from the consistency between the boundary conditions (BCs) imposed on condensates in confined geometry and in the full space, we find all possible BCs together with the corresponding condensate profiles and interface tensions. We discover two finite-size effects: a) The ground state derived from the Neumann BC is stable whereas the ground states derived from the Robin and Dirichlet BCs are unstable. b) Thereby, there equally manifest two possible wetting phase transitions originating from two unstable states. However, the one associated with the Robin BC is more favourable because it corresponds to a smaller interface tension. Ефекти скiнченного розмiру у двох вiдокремлених конденсатах Бозе-Ейнштейна, обмежених твердою стiнкою, дослiджено з допомогою рiвнянь Гросса-Пiтаєвского в наближеннi подвiйної параболи. Виходячи з узгодженостi мiж граничними умовами, якi накладаються на конденсати в обмеженiй геометрiї i в повному просторi, ми знаходимо усi можливi граничнi умови разом iз вiдповiдними профiлями конденсату i мiжфазовi натяги. Нами вiдкрито два ефекти скiнченного розмiру: a) основний стан, отриманий з граничної умови Ньюмана, є стiйким, а основнi стани, отриманi з граничних умов Робiна i Дiрiхлє, є нестiйкими, b) отже, однаковим чином проявляються два можливих переходи змочування як результат двох нестiйких станiв. Проте, перехiд, пов’язаний з граничними умовами Робiна, виявляється бiльш сприятливим, тому що вiн вiдповiдає меншому мiжфазовому натягу. 2019 Article On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall / H.V. Quyet, N.V. Thu, D.T. Tam, T.H. Phat // Condensed Matter Physics. — 2019. — Т. 22, № 1. — С. 13001: 1–14. — Бібліогр.: 31назв. — англ. 1607-324X PACS: 03.75.Hh, 05.30.Jp, 68.03.Cd, 68.08.Bc DOI:10.5488/CMP.22.13001 arXiv:1903.11457 http://dspace.nbuv.gov.ua/handle/123456789/157633 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The finite-size effects in two segregated Bose-Einstein condensates (BECs) restricted by a hard wall is studied by means of the Gross-Pitaevskii equations in the double-parabola approximation (DPA). Starting from the consistency between the boundary conditions (BCs) imposed on condensates in confined geometry and in the full space, we find all possible BCs together with the corresponding condensate profiles and interface tensions. We discover two finite-size effects: a) The ground state derived from the Neumann BC is stable whereas the ground states derived from the Robin and Dirichlet BCs are unstable. b) Thereby, there equally manifest two possible wetting phase transitions originating from two unstable states. However, the one associated with the Robin BC is more favourable because it corresponds to a smaller interface tension.
format Article
author Quyet, H.V.
Thu, N.V.
Tam, D.T.
Phat, T.H.
spellingShingle Quyet, H.V.
Thu, N.V.
Tam, D.T.
Phat, T.H.
On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
Condensed Matter Physics
author_facet Quyet, H.V.
Thu, N.V.
Tam, D.T.
Phat, T.H.
author_sort Quyet, H.V.
title On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
title_short On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
title_full On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
title_fullStr On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
title_full_unstemmed On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall
title_sort on the finite-size effects in two segregated bose-einstein condensates restricted by a hard wall
publisher Інститут фізики конденсованих систем НАН України
publishDate 2019
url http://dspace.nbuv.gov.ua/handle/123456789/157633
citation_txt On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall / H.V. Quyet, N.V. Thu, D.T. Tam, T.H. Phat // Condensed Matter Physics. — 2019. — Т. 22, № 1. — С. 13001: 1–14. — Бібліогр.: 31назв. — англ.
series Condensed Matter Physics
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