Chiral topological orders in an optical Raman lattice
We find an optical Raman lattice without spin-orbit coupling showing chiral topological orders for cold atoms. Two incident plane-wave lasers are applied to simultaneously generate a double-well square lattice and periodic Raman couplings, the latter of which drive the nearest-neighbor hopping and c...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/3/035004 |
| _version_ | 1797750974450761728 |
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| author | Xiong-Jun Liu Zheng-Xin Liu K T Law W Vincent Liu T K Ng |
| author_facet | Xiong-Jun Liu Zheng-Xin Liu K T Law W Vincent Liu T K Ng |
| author_sort | Xiong-Jun Liu |
| collection | DOAJ |
| description | We find an optical Raman lattice without spin-orbit coupling showing chiral topological orders for cold atoms. Two incident plane-wave lasers are applied to simultaneously generate a double-well square lattice and periodic Raman couplings, the latter of which drive the nearest-neighbor hopping and create a staggered flux pattern across the lattice. Such a minimal setup can yield the quantum anomalous Hall effect with a large gap-bandwidth ratio in the single particle regime, while in the interacting regime it achieves the J _1 - J _2 - K spin model, with the nearest-neighboring ( J _1 ) and next-nearest-neightboring ( J _2 ) exchange coupling coefficients, and the three three-spin interacting parameter ( K ) is controllable. We show that the J _1 - J _2 - K spin model may support a chiral spin liquid phase. It is interesting that the quantum anomalous Hall state can be detected by only measuring the Bloch states in the two symmetric momentum points of the first Brillouin zone. Further, we also show that heating in the present optical Raman lattice can be essentially reduced compared with the conventional laser-assisted tunneling schemes. This suggests that the predicted topological states be reachable with the current experimental capability. |
| first_indexed | 2024-03-12T16:41:35Z |
| format | Article |
| id | doaj.art-8a9a94b8391e4ac1a16c934906c234db |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:41:35Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-8a9a94b8391e4ac1a16c934906c234db2023-08-08T14:29:44ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303500410.1088/1367-2630/18/3/035004Chiral topological orders in an optical Raman latticeXiong-Jun Liu0Zheng-Xin Liu1K T Law2W Vincent Liu3T K Ng4International Center for Quantum Materials and School of Physics, Peking University , Beijing 100871, People’s Republic of China; Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University , Changsha 410081, People’s Republic of ChinaInstitute for Advanced Study, Tsinghua University , Beijing 100084, P. R. People’s Republic of China; Department of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaDepartment of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaDepartment of Physics and Astronomy, University of Pittsburgh , Pittsburgh, Pennsylvania 15260, USADepartment of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaWe find an optical Raman lattice without spin-orbit coupling showing chiral topological orders for cold atoms. Two incident plane-wave lasers are applied to simultaneously generate a double-well square lattice and periodic Raman couplings, the latter of which drive the nearest-neighbor hopping and create a staggered flux pattern across the lattice. Such a minimal setup can yield the quantum anomalous Hall effect with a large gap-bandwidth ratio in the single particle regime, while in the interacting regime it achieves the J _1 - J _2 - K spin model, with the nearest-neighboring ( J _1 ) and next-nearest-neightboring ( J _2 ) exchange coupling coefficients, and the three three-spin interacting parameter ( K ) is controllable. We show that the J _1 - J _2 - K spin model may support a chiral spin liquid phase. It is interesting that the quantum anomalous Hall state can be detected by only measuring the Bloch states in the two symmetric momentum points of the first Brillouin zone. Further, we also show that heating in the present optical Raman lattice can be essentially reduced compared with the conventional laser-assisted tunneling schemes. This suggests that the predicted topological states be reachable with the current experimental capability.https://doi.org/10.1088/1367-2630/18/3/035004optical latticegauge fieldsChern insulatortopological orderchiral spin liquid37.10.Jk |
| spellingShingle | Xiong-Jun Liu Zheng-Xin Liu K T Law W Vincent Liu T K Ng Chiral topological orders in an optical Raman lattice New Journal of Physics optical lattice gauge fields Chern insulator topological order chiral spin liquid 37.10.Jk |
| title | Chiral topological orders in an optical Raman lattice |
| title_full | Chiral topological orders in an optical Raman lattice |
| title_fullStr | Chiral topological orders in an optical Raman lattice |
| title_full_unstemmed | Chiral topological orders in an optical Raman lattice |
| title_short | Chiral topological orders in an optical Raman lattice |
| title_sort | chiral topological orders in an optical raman lattice |
| topic | optical lattice gauge fields Chern insulator topological order chiral spin liquid 37.10.Jk |
| url | https://doi.org/10.1088/1367-2630/18/3/035004 |
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