Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate
We consider the Casimir force between two vortices due to the presence of density fluctuations induced by turbulent modes in a Bose–Einstein condensate. We discuss the cases of unbounded and finite condensates. Turbulence is described as a superposition of elementary excitations (phonons or BdG mode...
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MDPI AG
2020-11-01
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| author | José Tito Mendonça Hugo Terças João D. Rodrigues Arnaldo Gammal |
| author_facet | José Tito Mendonça Hugo Terças João D. Rodrigues Arnaldo Gammal |
| author_sort | José Tito Mendonça |
| collection | DOAJ |
| description | We consider the Casimir force between two vortices due to the presence of density fluctuations induced by turbulent modes in a Bose–Einstein condensate. We discuss the cases of unbounded and finite condensates. Turbulence is described as a superposition of elementary excitations (phonons or BdG modes) in the medium. Expressions for the Casimir force between two identical vortex lines are derived, assuming that the vortices behave as point particles. Our analytical model of the Casimir force is confirmed by numerical simulations of the Gross–Pitaevskii equation, where the finite size of the vortices is retained. Our results are valid in the mean-field description of the turbulent medium. However, the Casimir force due to quantum fluctuations can also be estimated, assuming the particular case where the occupation number of the phonon modes in the condensed medium is reduced to zero and only zero-point fluctuations remain. |
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| issn | 2218-2004 |
| language | English |
| last_indexed | 2024-03-10T15:07:07Z |
| publishDate | 2020-11-01 |
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| spelling | doaj.art-8083d5c6fc5e444ab369f4917e2db0f52023-11-20T19:42:16ZengMDPI AGAtoms2218-20042020-11-01847710.3390/atoms8040077Casimir Force between Two Vortices in a Turbulent Bose–Einstein CondensateJosé Tito Mendonça0Hugo Terças1João D. Rodrigues2Arnaldo Gammal3IPFN, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, PortugalIPFN, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, PortugalBlackett Laboratory, Physics Department, Imperial College London, Prince Consort Road, London SW7 2AZ, UKInstituto de Física, Universidade de São Paulo, São Paulo, SP 05508-090, BrazilWe consider the Casimir force between two vortices due to the presence of density fluctuations induced by turbulent modes in a Bose–Einstein condensate. We discuss the cases of unbounded and finite condensates. Turbulence is described as a superposition of elementary excitations (phonons or BdG modes) in the medium. Expressions for the Casimir force between two identical vortex lines are derived, assuming that the vortices behave as point particles. Our analytical model of the Casimir force is confirmed by numerical simulations of the Gross–Pitaevskii equation, where the finite size of the vortices is retained. Our results are valid in the mean-field description of the turbulent medium. However, the Casimir force due to quantum fluctuations can also be estimated, assuming the particular case where the occupation number of the phonon modes in the condensed medium is reduced to zero and only zero-point fluctuations remain.https://www.mdpi.com/2218-2004/8/4/77vorticesCasimir effectturbulenceBE condensates |
| spellingShingle | José Tito Mendonça Hugo Terças João D. Rodrigues Arnaldo Gammal Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate Atoms vortices Casimir effect turbulence BE condensates |
| title | Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate |
| title_full | Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate |
| title_fullStr | Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate |
| title_full_unstemmed | Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate |
| title_short | Casimir Force between Two Vortices in a Turbulent Bose–Einstein Condensate |
| title_sort | casimir force between two vortices in a turbulent bose einstein condensate |
| topic | vortices Casimir effect turbulence BE condensates |
| url | https://www.mdpi.com/2218-2004/8/4/77 |
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