Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit
We analytically calculate the statistics of Bose-Einstein condensate (BEC) fluctuations in an interacting gas trapped in a three-dimensional cubic or rectangular box with the Dirichlet, fused or periodic boundary conditions within the mean-field Bogoliubov and Thomas-Fermi approximations. We study a...
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| Format: | Article |
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MDPI AG
2018-02-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/3/153 |
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| author | Sergey Tarasov Vladimir Kocharovsky Vitaly Kocharovsky |
| author_facet | Sergey Tarasov Vladimir Kocharovsky Vitaly Kocharovsky |
| author_sort | Sergey Tarasov |
| collection | DOAJ |
| description | We analytically calculate the statistics of Bose-Einstein condensate (BEC) fluctuations in an interacting gas trapped in a three-dimensional cubic or rectangular box with the Dirichlet, fused or periodic boundary conditions within the mean-field Bogoliubov and Thomas-Fermi approximations. We study a mesoscopic system of a finite number of trapped particles and its thermodynamic limit. We find that the BEC fluctuations, first, are anomalously large and non-Gaussian and, second, depend on the trap’s form and boundary conditions. Remarkably, these effects persist with increasing interparticle interaction and even in the thermodynamic limit—only the mean BEC occupation, not BEC fluctuations, becomes independent on the trap’s form and boundary conditions. |
| first_indexed | 2024-12-10T07:06:45Z |
| format | Article |
| id | doaj.art-e50f03d3694d4f94902f6aa9c462c3ec |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-12-10T07:06:45Z |
| publishDate | 2018-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e50f03d3694d4f94902f6aa9c462c3ec2022-12-22T01:58:10ZengMDPI AGEntropy1099-43002018-02-0120315310.3390/e20030153e20030153Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic LimitSergey Tarasov0Vladimir Kocharovsky1Vitaly Kocharovsky2Institute of Applied Physics, Russian Academy of Science, Nizhny Novgorod 603950, RussiaInstitute of Applied Physics, Russian Academy of Science, Nizhny Novgorod 603950, RussiaDepartment of Physics and Astronomy, Texas A&M University, College Station, TX 77843-4242, USAWe analytically calculate the statistics of Bose-Einstein condensate (BEC) fluctuations in an interacting gas trapped in a three-dimensional cubic or rectangular box with the Dirichlet, fused or periodic boundary conditions within the mean-field Bogoliubov and Thomas-Fermi approximations. We study a mesoscopic system of a finite number of trapped particles and its thermodynamic limit. We find that the BEC fluctuations, first, are anomalously large and non-Gaussian and, second, depend on the trap’s form and boundary conditions. Remarkably, these effects persist with increasing interparticle interaction and even in the thermodynamic limit—only the mean BEC occupation, not BEC fluctuations, becomes independent on the trap’s form and boundary conditions.http://www.mdpi.com/1099-4300/20/3/153Bose-Einstein condensationstatistics of Bose-Einstein condensateBogoliubov couplinginteracting Bose gasmesoscopic system |
| spellingShingle | Sergey Tarasov Vladimir Kocharovsky Vitaly Kocharovsky Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit Entropy Bose-Einstein condensation statistics of Bose-Einstein condensate Bogoliubov coupling interacting Bose gas mesoscopic system |
| title | Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit |
| title_full | Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit |
| title_fullStr | Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit |
| title_full_unstemmed | Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit |
| title_short | Anomalous Statistics of Bose-Einstein Condensate in an Interacting Gas: An Effect of the Trap’s Form and Boundary Conditions in the Thermodynamic Limit |
| title_sort | anomalous statistics of bose einstein condensate in an interacting gas an effect of the trap s form and boundary conditions in the thermodynamic limit |
| topic | Bose-Einstein condensation statistics of Bose-Einstein condensate Bogoliubov coupling interacting Bose gas mesoscopic system |
| url | http://www.mdpi.com/1099-4300/20/3/153 |
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