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Bose-Einstein condensates in an eightfold symmetric optical lattice |
| Zhen-Xia Niu(牛真霞)1, Yong-Hang Tai(邰永航)2, Jun-Sheng Shi(石俊生)2, Wei Zhang(张威)1,3 |
1 Department of Physics, Renmin University of China, Beijing 100872, China;
2 Yunnan Key Laboratory of Optoelectronic Information Technology, Yunnan Normal University, Kunming 650500, China;
3 Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China |
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Abstract We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external harmonic trapping potential, we first analyze the evolution of matter-wave interference pattern from periodic to quasi-periodic as the OL is changed continuously from four-fold periodic to eight-fold quasi-periodic. We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth, and find that the BEC crosses over from ballistic diffusion to localization. Finally, we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential. The BEC shows vortex pattern with eightfold symmetry for slow rotation, becomes unstable for intermediate rotation, and exhibits annular solitons with approximate axial symmetry for fast rotation. These results can be readily demonstrated in experiments using the same configuration as in Phys. Rev. Lett. 122 110404 (2019).
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Received: 04 February 2020
Revised: 02 March 2020
Accepted manuscript online:
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PACS:
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61.44.Br
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(Quasicrystals)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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67.85.Hj
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(Bose-Einstein condensates in optical potentials)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11434011, 11522436, and 11774425), the National Key R&D Program of China (Grants No. 2018YFA0306501), the Beijing Natural Science Foundation, China (Grant No. Z180013), and the Research Funds of Renmin University of China (Grants Nos. 16XNLQ03 and 18XNLQ15). |
Corresponding Authors:
Wei Zhang
E-mail: wzhangl@ruc.edu.cn
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Cite this article:
Zhen-Xia Niu(牛真霞), Yong-Hang Tai(邰永航), Jun-Sheng Shi(石俊生), Wei Zhang(张威) Bose-Einstein condensates in an eightfold symmetric optical lattice 2020 Chin. Phys. B 29 056103
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