Real-space condensation in a dilute Bose gas at low temperature
We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2001 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2001
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 condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких 
 
 температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862643807272566784 |
|---|---|
| author | Kulik, I.O. |
| author_facet | Kulik, I.O. |
| citation_txt | Real-space 
 
 condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких 
 
 температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0,p=0). Quantization of particle motion in a well wipes out sharp transition but supports a distribution of radial particle density ρ(r) peacked at r=0 (a real-space condensate) as well as the phase-space Wigner distribution density W(r, p) peaked at r=0 and p=0 below the crossover temperature Tc* of order of Tc. Fixed-particle-number canonical ensemble which is a combination of the fixed-μ condensate part and the fixed-m excitation part is suggested to resolve the difficulty of large fluctuation of the particle number (δN~N) in the Bose-Einstein condensation problem treated within the orthodox grand canonical ensemble formalism.
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| first_indexed | 2025-12-01T08:13:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-129021 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-01T08:13:03Z |
| publishDate | 2001 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Kulik, I.O. 2018-01-15T13:15:33Z 2018-01-15T13:15:33Z 2001 Real-space 
 
 condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких 
 
 температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. 0132-6414 PACS: 64.60.-i https://nasplib.isofts.kiev.ua/handle/123456789/129021 We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0,p=0). Quantization of particle motion in a well wipes out sharp transition but supports a distribution of radial particle density ρ(r) peacked at r=0 (a real-space condensate) as well as the phase-space Wigner distribution density W(r, p) peaked at r=0 and p=0 below the crossover temperature Tc* of order of Tc. Fixed-particle-number canonical ensemble which is a combination of the fixed-μ condensate part and the fixed-m excitation part is suggested to resolve the difficulty of large fluctuation of the particle number (δN~N) in the Bose-Einstein condensation problem treated within the orthodox grand canonical ensemble formalism. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Статьи, посвященные столетию со дня рождения Л. В. Шубникова Real-space condensation in a dilute Bose gas at low temperature Article published earlier |
| spellingShingle | Real-space condensation in a dilute Bose gas at low temperature Kulik, I.O. Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| title | Real-space condensation in a dilute Bose gas at low temperature |
| title_full | Real-space condensation in a dilute Bose gas at low temperature |
| title_fullStr | Real-space condensation in a dilute Bose gas at low temperature |
| title_full_unstemmed | Real-space condensation in a dilute Bose gas at low temperature |
| title_short | Real-space condensation in a dilute Bose gas at low temperature |
| title_sort | real-space condensation in a dilute bose gas at low temperature |
| topic | Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| topic_facet | Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/129021 |
| work_keys_str_mv | AT kulikio realspacecondensationinadilutebosegasatlowtemperature |