Universal four-component Fermi gas in one dimension
A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin gaps. The spin gaps are exponentially small in the weak coupli...
| 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/1721.1/60874 |
| _version_ | 1826212016892674048 |
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| author | Nishida, Yusuke Son, Dam T. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Nishida, Yusuke Son, Dam T. |
| author_sort | Nishida, Yusuke |
| collection | MIT |
| description | A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin gaps. The spin gaps are exponentially small in the weak coupling (BCS) limit where they arise from the charge-density-wave instability, and become large in the strong coupling (BEC) limit because of the formation of tightly bound tetramers. We investigate the ground-state energy, the sound velocity, and the gap spectrum in the BCS-BEC crossover and discuss exact relationships valid in our system. We also show that a one-dimensional analog of the Efimov effect occurs for five bosons while it is absent for fermions. Our work opens up a very rich field of universal few-body and many-body physics in one dimension. |
| first_indexed | 2024-09-23T15:15:09Z |
| format | Article |
| id | mit-1721.1/60874 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:15:09Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/608742022-10-02T01:39:46Z Universal four-component Fermi gas in one dimension Nishida, Yusuke Son, Dam T. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Nishida, Yusuke Nishida, Yusuke A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin gaps. The spin gaps are exponentially small in the weak coupling (BCS) limit where they arise from the charge-density-wave instability, and become large in the strong coupling (BEC) limit because of the formation of tightly bound tetramers. We investigate the ground-state energy, the sound velocity, and the gap spectrum in the BCS-BEC crossover and discuss exact relationships valid in our system. We also show that a one-dimensional analog of the Efimov effect occurs for five bosons while it is absent for fermions. Our work opens up a very rich field of universal few-body and many-body physics in one dimension. Massachusetts Institute of Technology. Dept. of Physics. Pappalardo Program United States. Dept. of Energy. Office of Nuclear Physics (Grant No. DE-FG02-94ER40818) United States. Dept. of Energy (Grant no. DE-FG02-00ER41132) 2011-02-01T14:58:26Z 2011-02-01T14:58:26Z 2010-10 2010-08 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/60874 Nashida, Yusuke, and Dam T. Son. "." Physical Review A 82.4 (2010): 043606. © 2010 The American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.82.043606 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 Son, Dam T. Universal four-component Fermi gas in one dimension |
| title | Universal four-component Fermi gas in one dimension |
| title_full | Universal four-component Fermi gas in one dimension |
| title_fullStr | Universal four-component Fermi gas in one dimension |
| title_full_unstemmed | Universal four-component Fermi gas in one dimension |
| title_short | Universal four-component Fermi gas in one dimension |
| title_sort | universal four component fermi gas in one dimension |
| url | http://hdl.handle.net/1721.1/60874 |
| work_keys_str_mv | AT nishidayusuke universalfourcomponentfermigasinonedimension AT sondamt universalfourcomponentfermigasinonedimension |