Confinement-induced p-wave resonances from s-wave interactions
We show that a purely s-wave interaction in three dimensions (3D) can induce higher partial-wave resonances in mixed dimensions. We develop two-body scattering theories in all three cases of 0D-3D, 1D-3D, and 2D-3D mixtures and determine the positions of higher partial-wave resonances in terms of th...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/63129 |
| _version_ | 1826210468565352448 |
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| author | Nishida, Yusuke Tan, Shina |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Nishida, Yusuke Tan, Shina |
| author_sort | Nishida, Yusuke |
| collection | MIT |
| description | We show that a purely s-wave interaction in three dimensions (3D) can induce higher partial-wave resonances in mixed dimensions. We develop two-body scattering theories in all three cases of 0D-3D, 1D-3D, and 2D-3D mixtures and determine the positions of higher partial-wave resonances in terms of the 3D s-wave scattering length assuming a harmonic confinement potential. We also compute the low-energy scattering parameters in the p-wave channel (scattering volume and effective momentum) that are necessary for the low-energy effective theory of the p-wave resonance. We point out that some of the resonances observed in the Florence group experiment [Phys. Rev. Lett. 104, 153202 (2010)] can be interpreted as the p-wave resonances in the 2D-3D mixed dimensions. Our study paves the way for a variety of physics, such as Anderson localization of matter waves under p-wave resonant scatterers. |
| first_indexed | 2024-09-23T14:50:22Z |
| format | Article |
| id | mit-1721.1/63129 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:50:22Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/631292022-10-01T22:48:53Z Confinement-induced p-wave resonances from s-wave interactions Nishida, Yusuke Tan, Shina Massachusetts Institute of Technology. Department of Physics Nishida, Yusuke Nishida, Yusuke We show that a purely s-wave interaction in three dimensions (3D) can induce higher partial-wave resonances in mixed dimensions. We develop two-body scattering theories in all three cases of 0D-3D, 1D-3D, and 2D-3D mixtures and determine the positions of higher partial-wave resonances in terms of the 3D s-wave scattering length assuming a harmonic confinement potential. We also compute the low-energy scattering parameters in the p-wave channel (scattering volume and effective momentum) that are necessary for the low-energy effective theory of the p-wave resonance. We point out that some of the resonances observed in the Florence group experiment [Phys. Rev. Lett. 104, 153202 (2010)] can be interpreted as the p-wave resonances in the 2D-3D mixed dimensions. Our study paves the way for a variety of physics, such as Anderson localization of matter waves under p-wave resonant scatterers. Massachusetts Institute of Technology. Pappalardo Fellowship United States. Dept. of Energy. Office of Nuclear Physics (Grant No. DE-FG02-94ER40818) 2011-05-26T17:45:29Z 2011-05-26T17:45:29Z 2010-12 2010-10 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/63129 Nishida, Yusuke, and Shina Tan. “Confinement-induced P-wave Resonances from S-wave Interactions.” Physical Review A 82.6 (2010) : 062713. © 2010 The American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.82.062713 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. application/pdf American Physical Society APS |
| spellingShingle | Nishida, Yusuke Tan, Shina Confinement-induced p-wave resonances from s-wave interactions |
| title | Confinement-induced p-wave resonances from s-wave interactions |
| title_full | Confinement-induced p-wave resonances from s-wave interactions |
| title_fullStr | Confinement-induced p-wave resonances from s-wave interactions |
| title_full_unstemmed | Confinement-induced p-wave resonances from s-wave interactions |
| title_short | Confinement-induced p-wave resonances from s-wave interactions |
| title_sort | confinement induced p wave resonances from s wave interactions |
| url | http://hdl.handle.net/1721.1/63129 |
| work_keys_str_mv | AT nishidayusuke confinementinducedpwaveresonancesfromswaveinteractions AT tanshina confinementinducedpwaveresonancesfromswaveinteractions |