Simple model for interactions and corrections to the Gross-Pitaevskii equation
One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle p...
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| Format: | Article |
| Language: | English |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88958 https://orcid.org/0000-0002-9528-3044 |
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| author | Veksler, Hagar Fishman, Shmuel Ketterle, Wolfgang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Veksler, Hagar Fishman, Shmuel Ketterle, Wolfgang |
| author_sort | Veksler, Hagar |
| collection | MIT |
| description | One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle potential is introduced. The correction to the GPE predictions for the energy of a condensate confined by a harmonic trap in the Thomas-Fermi regime is estimated. Although it is found to be small, we believe that in some situations it can be measured using its dependance on the frequency of the confining trap. Due to the simplicity of the model, it may have a wide range of applications. |
| first_indexed | 2024-09-23T08:07:44Z |
| format | Article |
| id | mit-1721.1/88958 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:07:44Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/889582022-09-23T11:05:24Z Simple model for interactions and corrections to the Gross-Pitaevskii equation Veksler, Hagar Fishman, Shmuel Ketterle, Wolfgang Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics MIT-Harvard Center for Ultracold Atoms Ketterle, Wolfgang One of the assumptions leading to the Gross-Pitaevskii equation (GPE) is that the interaction between atom pairs can be written effectively as a δ function so that the interaction range of the particles is assumed to vanish. A simple model that takes into account the extension of the interparticle potential is introduced. The correction to the GPE predictions for the energy of a condensate confined by a harmonic trap in the Thomas-Fermi regime is estimated. Although it is found to be small, we believe that in some situations it can be measured using its dependance on the frequency of the confining trap. Due to the simplicity of the model, it may have a wide range of applications. National Science Foundation (U.S.) United States-Israel Binational Science Foundation (Grant 2010132) 2014-08-21T17:46:59Z 2014-08-21T17:46:59Z 2014-08 2014-06 2014-08-13T22:00:09Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/88958 Veksler, Hagar, Shmuel Fishman, and Wolfgang Ketterle. "Simple model for interactions and corrections to the Gross-Pitaevskii equation." Phys. Rev. A 90, 023620 (August 2014). © 2014 American Physical Society https://orcid.org/0000-0002-9528-3044 en http://dx.doi.org/10.1103/PhysRevA.90.023620 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Veksler, Hagar Fishman, Shmuel Ketterle, Wolfgang Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title | Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title_full | Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title_fullStr | Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title_full_unstemmed | Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title_short | Simple model for interactions and corrections to the Gross-Pitaevskii equation |
| title_sort | simple model for interactions and corrections to the gross pitaevskii equation |
| url | http://hdl.handle.net/1721.1/88958 https://orcid.org/0000-0002-9528-3044 |
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