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
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.
Fund: 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.
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 2022 Chin. Phys. B 31 017102
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