Bose-Einstein condensates in an eightfold symmetric optical lattice

doi:10.1088/1674-1056/ab8211

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 56103-056103.doi: 10.1088/1674-1056/ab8211

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Bose-Einstein condensates in an eightfold symmetric optical lattice

Zhen-Xia Niu(牛真霞), Yong-Hang Tai(邰永航), Jun-Sheng Shi(石俊生), Wei Zhang(张威)

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

收稿日期:2020-02-04 修回日期:2020-03-02 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Wei Zhang E-mail:wzhangl@ruc.edu.cn
基金资助:
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).

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

Received:2020-02-04 Revised:2020-03-02 Online:2020-05-05 Published:2020-05-05
Contact: Wei Zhang E-mail:wzhangl@ruc.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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).

关键词: quasicrystals, Bose-Einstein condensates, quantum transport, vortex and soliton

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).

Key words: quasicrystals, Bose-Einstein condensates, quantum transport, vortex and soliton

中图分类号: (Quasicrystals)

61.44.Br

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 67.85.Hj (Bose-Einstein condensates in optical potentials)

牛真霞, 邰永航, 石俊生, 张威. Bose-Einstein condensates in an eightfold symmetric optical lattice[J]. 中国物理B, 2020, 29(5): 56103-056103.

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[J]. Chin. Phys. B, 2020, 29(5): 56103-056103.

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Bose-Einstein condensates in an eightfold symmetric optical lattice

Bose-Einstein condensates in an eightfold symmetric optical lattice

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