SU(3) spin-orbit coupled fermions in an optical lattice

doi:10.1088/1674-1056/ac11dc

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 17102-017102.doi: 10.1088/1674-1056/ac11dc

SU(3) spin-orbit coupled fermions in an optical lattice

Xiaofan Zhou(周晓凡)^1,2,†, Gang Chen(陈刚)^1,2,3, and Suo-Tang Jia(贾锁堂)^1,2

1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
3 Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China

收稿日期:2021-04-19 修回日期:2021-06-23 接受日期:2021-07-07 出版日期:2021-12-03 发布日期:2021-12-14
通讯作者: Xiaofan Zhou E-mail:zhouxiaofan@sxu.edu.cn
基金资助:
This work was supported by the National Key R&D Program of China (Grant No. 2017YFA0304203), the Natural National Science Foundation of China (Grant Nos. 11674200, 12074232, and 12004230), the Fund for Shanxi ‘1331 Project’ Key Subjects Construction, and Research Project Supported by Shanxi Scholarship Council of China.

SU(3) spin-orbit coupled fermions in an optical lattice

Xiaofan Zhou(周晓凡)^1,2,†, Gang Chen(陈刚)^1,2,3, and Suo-Tang Jia(贾锁堂)^1,2

1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
3 Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China

Received:2021-04-19 Revised:2021-06-23 Accepted:2021-07-07 Online:2021-12-03 Published:2021-12-14
Contact: Xiaofan Zhou E-mail:zhouxiaofan@sxu.edu.cn
Supported by:
This work was supported by the National Key R&D Program of China (Grant No. 2017YFA0304203), the Natural National Science Foundation of China (Grant Nos. 11674200, 12074232, and 12004230), the Fund for Shanxi ‘1331 Project’ Key Subjects Construction, and Research Project Supported by Shanxi Scholarship Council of China.

摘要/Abstract

摘要： We propose a scheme to realize the SU(3) spin-orbit coupled three-component fermions in an one-dimensional optical lattice. The topological properties of the single-particle Hamiltonian are studied by calculating the Berry phase, winding number and edge state. We also investigate the effects of the interaction on the ground-state topology of the system, and characterize the interaction-induced topological phase transitions, using a state-of-the-art density-matrix renormalization-group numerical method. Finally, we show the typical features of the emerging quantum phases, and map out the many-body phase diagram between the interaction and the Zeeman field. Our results establish a way for exploring novel quantum physics induced by the SOC with SU(N) symmetry.

关键词: spin-orbit coupling, topological phase transition, optical lattice

Abstract: We propose a scheme to realize the SU(3) spin-orbit coupled three-component fermions in an one-dimensional optical lattice. The topological properties of the single-particle Hamiltonian are studied by calculating the Berry phase, winding number and edge state. We also investigate the effects of the interaction on the ground-state topology of the system, and characterize the interaction-induced topological phase transitions, using a state-of-the-art density-matrix renormalization-group numerical method. Finally, we show the typical features of the emerging quantum phases, and map out the many-body phase diagram between the interaction and the Zeeman field. Our results establish a way for exploring novel quantum physics induced by the SOC with SU(N) symmetry.

Key words: spin-orbit coupling, topological phase transition, optical lattice

中图分类号: (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)

71.70.Ej

64.70.Tg (Quantum phase transitions) 37.10.Jk (Atoms in optical lattices)

Xiaofan Zhou(周晓凡), Gang Chen(陈刚), and Suo-Tang Jia(贾锁堂). SU(3) spin-orbit coupled fermions in an optical lattice[J]. 中国物理B, 2022, 31(1): 17102-017102.

Xiaofan Zhou(周晓凡), Gang Chen(陈刚), and Suo-Tang Jia(贾锁堂). SU(3) spin-orbit coupled fermions in an optical lattice[J]. Chin. Phys. B, 2022, 31(1): 17102-017102.

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SU(3) spin-orbit coupled fermions in an optical lattice

SU(3) spin-orbit coupled fermions in an optical lattice

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