Higher first Chern numbers in one-dimensional Bose–Fermi mixtures
We propose to use a one-dimensional system consisting of identical fermions in a periodically driven lattice immersed in a Bose gas, to realise topological superfluid phases with Chern numbers larger than 1. The bosons mediate an attractive induced interaction between the fermions, and we derive a s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aaaa51 |
| _version_ | 1797750647880155136 |
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| author | Kristian Knakkergaard Nielsen Zhigang Wu G M Bruun |
| author_facet | Kristian Knakkergaard Nielsen Zhigang Wu G M Bruun |
| author_sort | Kristian Knakkergaard Nielsen |
| collection | DOAJ |
| description | We propose to use a one-dimensional system consisting of identical fermions in a periodically driven lattice immersed in a Bose gas, to realise topological superfluid phases with Chern numbers larger than 1. The bosons mediate an attractive induced interaction between the fermions, and we derive a simple formula to analyse the topological properties of the resulting pairing. When the coherence length of the bosons is large compared to the lattice spacing and there is a significant next-nearest neighbour hopping for the fermions, the system can realise a superfluid with Chern number ±2. We show that this phase is stable in a large region of the phase diagram as a function of the filling fraction of the fermions and the coherence length of the bosons. Cold atomic gases offer the possibility to realise the proposed system using well-known experimental techniques. |
| first_indexed | 2024-03-12T16:36:49Z |
| format | Article |
| id | doaj.art-cd13bfb451df414685d155b52ad802da |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:49Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-cd13bfb451df414685d155b52ad802da2023-08-08T14:51:58ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120202500510.1088/1367-2630/aaaa51Higher first Chern numbers in one-dimensional Bose–Fermi mixturesKristian Knakkergaard Nielsen0Zhigang Wu1G M Bruun2Department of Physics and Astronomy, Aarhus University , Ny Munkegade, DK-8000 Aarhus C, DenmarkInstitute for Advanced Study, Tsinghua University , Beijing, 100084, People’s Republic of ChinaDepartment of Physics and Astronomy, Aarhus University , Ny Munkegade, DK-8000 Aarhus C, DenmarkWe propose to use a one-dimensional system consisting of identical fermions in a periodically driven lattice immersed in a Bose gas, to realise topological superfluid phases with Chern numbers larger than 1. The bosons mediate an attractive induced interaction between the fermions, and we derive a simple formula to analyse the topological properties of the resulting pairing. When the coherence length of the bosons is large compared to the lattice spacing and there is a significant next-nearest neighbour hopping for the fermions, the system can realise a superfluid with Chern number ±2. We show that this phase is stable in a large region of the phase diagram as a function of the filling fraction of the fermions and the coherence length of the bosons. Cold atomic gases offer the possibility to realise the proposed system using well-known experimental techniques.https://doi.org/10.1088/1367-2630/aaaa51Bose–Fermi mixturestopological superfluidquantum gasses |
| spellingShingle | Kristian Knakkergaard Nielsen Zhigang Wu G M Bruun Higher first Chern numbers in one-dimensional Bose–Fermi mixtures New Journal of Physics Bose–Fermi mixtures topological superfluid quantum gasses |
| title | Higher first Chern numbers in one-dimensional Bose–Fermi mixtures |
| title_full | Higher first Chern numbers in one-dimensional Bose–Fermi mixtures |
| title_fullStr | Higher first Chern numbers in one-dimensional Bose–Fermi mixtures |
| title_full_unstemmed | Higher first Chern numbers in one-dimensional Bose–Fermi mixtures |
| title_short | Higher first Chern numbers in one-dimensional Bose–Fermi mixtures |
| title_sort | higher first chern numbers in one dimensional bose fermi mixtures |
| topic | Bose–Fermi mixtures topological superfluid quantum gasses |
| url | https://doi.org/10.1088/1367-2630/aaaa51 |
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