Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap
We directly compare the mean-field and the many-body approaches, in a one-dimensional Bose system in a harmonic trap. Both contact and dipolar interactions are considered. We obtain eigenstates of the many-body system by exact diagonalization with a truncated basis. We propose a multiatom version of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.023386 |
| _version_ | 1827286138449035264 |
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| author | Michał Kowalski Rafał Ołdziejewski Kazimierz Rzążewski |
| author_facet | Michał Kowalski Rafał Ołdziejewski Kazimierz Rzążewski |
| author_sort | Michał Kowalski |
| collection | DOAJ |
| description | We directly compare the mean-field and the many-body approaches, in a one-dimensional Bose system in a harmonic trap. Both contact and dipolar interactions are considered. We obtain eigenstates of the many-body system by exact diagonalization with a truncated basis. We propose a multiatom version of the phase-imprinting method to generate dark solitons in the system. We begin with a general analysis of system dynamics and observe the emergence of a dark soliton and a shock wave in the form of sloshing motion of the condensate upon phase imprinting. The center of mass and soliton go out of phase because the soliton does not oscillate with the trap frequency. A detailed investigation of frequencies reveals significant differences in the results obtained in the mean-field versus the many-body picture. |
| first_indexed | 2024-04-24T10:26:23Z |
| format | Article |
| id | doaj.art-d776bf5f9b704cf8b7d368318613fe85 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:23Z |
| publishDate | 2020-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d776bf5f9b704cf8b7d368318613fe852024-04-12T16:56:01ZengAmerican Physical SocietyPhysical Review Research2643-15642020-06-012202338610.1103/PhysRevResearch.2.023386Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trapMichał KowalskiRafał OłdziejewskiKazimierz RzążewskiWe directly compare the mean-field and the many-body approaches, in a one-dimensional Bose system in a harmonic trap. Both contact and dipolar interactions are considered. We obtain eigenstates of the many-body system by exact diagonalization with a truncated basis. We propose a multiatom version of the phase-imprinting method to generate dark solitons in the system. We begin with a general analysis of system dynamics and observe the emergence of a dark soliton and a shock wave in the form of sloshing motion of the condensate upon phase imprinting. The center of mass and soliton go out of phase because the soliton does not oscillate with the trap frequency. A detailed investigation of frequencies reveals significant differences in the results obtained in the mean-field versus the many-body picture.http://doi.org/10.1103/PhysRevResearch.2.023386 |
| spellingShingle | Michał Kowalski Rafał Ołdziejewski Kazimierz Rzążewski Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap Physical Review Research |
| title | Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap |
| title_full | Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap |
| title_fullStr | Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap |
| title_full_unstemmed | Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap |
| title_short | Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap |
| title_sort | breakdown of the mean field for dark solitons of dipolar bosons in a one dimensional harmonic trap |
| url | http://doi.org/10.1103/PhysRevResearch.2.023386 |
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