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
[1] Kato Y K, Myers R C, Gossard A C and Awschalom D D 2004 Science306 1910 [2] König M, Wiedmann S, Brüne C, Roth A, Buhmann H, L W Molenkamp, Qi X L, Zhang S C 2007 Science318 766 [3] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys.82 1959 [4] Bernevig B A, Hughes T L, and Zhang S C 2006 Science314 1757 [5] Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, and Hasan M Z 2008 Nature452 970 [6] Hasan M Z and Kane C L 2010 Rev. Mod. Phys.82 3045 [7] Qi X L and Zhang S C 2011 Rev. Mod. Phys.83 1057 [8] Koralek J D, Weber C P, Orenstein J, Bernevig B A, Zhang S C, Mack S and Awschalom D D 2009 Nature458 610 [9] Lin Y J, Jimenez-Garcia K and Spielman I B 2011 Nature471 83 [10] Wang P Yu Z Q, Fu Z, Miao J, Huang L, Chai S, Zhai H and Zhang J 2012 Phys. Rev. Lett.109 095301 [11] Cheuk L W, Sommer A T, Hadzibabic Z, Yefsa T h, Bakr W S and Zwierlein M W 2012 Phys. Rev. Lett.109 095302 [12] Zhang J Y, Ji S C, Chen Z, Zhang L, Du Z D, Yan B, Pan G S, Zhao B, Deng Y J, Zhai H, Chen S and Pan J W 2012 Phys. Rev. Lett.109 115301 [13] Qu C, Hamner C, Gong M, Zhang C and Engels P 2013 Phys. Rev. A88 021604 [14] Fu Z, Huang L, Meng Z, Wang P, Zhang L, Zhang S, Zhai H, Zhang P and Zhang J 2014 Nat. Phys.10 110 [15] Ji S C, Zhang J Y, Zhang L, Du Z D, Zheng W, Deng Y J, Zhai H, Chen S and Pan J W 2014 Nat. Phys.10 314 [16] Olson A J, Wang S J, Niffenegger R J, Li C H, Greene C H and Chen Y P 2014 Phys. Rev. A90 013616 [17] Huang L, Meng Z, Wang P, Peng P, Zhang S L, Chen L, Li D, Zhou Q and Zhang J 2016 Nat. Phys.12 540 [18] Meng Z, Huang L, Peng P, Li D, Chen L, Xu Y, Zhang C, Wang P and Zhang J 2016 Phys. Rev. Lett.117 235304 [19] Wu Z, Zhang L, Sun W, Xu X T, Wang B Z, Ji S C, Deng Y, Chen S, Liu X J and Pan J W 2016 Science354 83 [20] Sun W, Wang B Z, Xu X T, Yi C R, Zhang L, Wu Z, Deng Y, Liu X J, Chen S and Pan J W 2018 Phys. Rev. Lett.121 150401 [21] Wang Z Y, Cheng X C, Wang B Z, Zhang J Y, Lu Y Hui, Yi C R, Niu S, Deng Y, Liu X J, Chen S and Pan J W 2021 Science372 271 [22] Mancini M, Pagano G, Cappellini G, Livi L, Rider M, Catani J, Sias C, Zoller P, Inguscio M, Dalmonte M and Fallani L 2015 Science349 1510 [23] Stuhl B K, Lu H I, Aycock L M, Genkina D and Spielman I B 2015 Science349 1514 [24] Zhou X, Pan J S, Yi W, Chen G and Jia S 2017 Phys. Rev. A96 023627 [25] Yan Y, Zhang S.-L, Choudhury S and Zhou Q 2019 Phys. Rev. Lett.123 260405 [26] Anderson R P, Trypogeorgos D, Valdès-Curiel A, Liang Q Y, Tao J, Zhao M, Andrijauskas T, Juzeliunas G and Spielman I B 2020 Phys. Rev. Research2 013149 [27] Liu X J, Liu Z X and Cheng M 2013 Phys. Rev. Lett.110 076401 [28] Celi A, Massignan P, Ruseckas J, Goldman N, Spielman I B, Juzeliǔnas G and Lewenstein M 2014 Phys. Rev. Lett.112 043001 [29] Zhai H 2015 Rep. Prog. Phys.78 026001 [30] Livi L F, Cappellini G, Diem M, Franchi L, Clivati C, Frittelli M, Levi F, Calonico D, Catani J, Inguscio M and Fallani L 2016 Phys. Rev. Lett.117 220401 [31] Wall M L, Koller A P, Li S, Zhang X, Cooper N R, Ye J and Rey A M 2016 Phys. Rev. Lett.116 035301 [32] Zhou X, Pan J S, Liu Z X, Zhang W, Yi W, Chen G and Jia S 2017 Phys. Rev. Lett.119 185701 [33] Campbell D L, Price R M, Putra A, Valdès-Curiel A, Trypogeorgos D and Spielman I B 2016 Nat. Commun.7 10897 [34] Luo X, Wu L, Chen J, Guan Q, Gao K, Xu Z F, You L and Wang R 2016 Sci. Rep.6 18983 [35] Lan Z. and Öhberg P 2014 Phys. Rev. A89 023630 [36] Martone G I, Pepe F V, Facchi P, Pascazio S and Stringari S 2016 Phys. Rev. Lett.117 125301 [37] Natu S S, Li X P and Cole W S 2015 Phys. Rev. A91 023608 [38] Pixley J H, Natu Stefan S, Spielman I B and Das Sarma S 2016 Phys. Rev. B93 081101 [39] Sun K, Qu C L, Xu Y, Zhang Y P and Zhang C W 2016 Phys. Rev. A93 023615 [40] Yu Z Q 2016 Phys. Rev. A93 033648 [41] Barnett R, Boyd G R, and Galitski V 2012 Phys. Rev. Lett.109 235308 [42] Graß T, Chhajlany R W, Muschik C A and Lewenstein M 2014 Phys. Rev. B90 195127 [43] Han W, Zhang X F, Song S W, Saito H, Zhang W, Liu W M and Zhang S G 2016 Phys. Rev. A94 033629 [44] Han J H, Kang J H and Shin Y 2019 Phys. Rev. Lett.122 065303 [45] Zhou X, Chen G and Jia S 2020 Phys. Rev. A102 043313 [46] White S R 1992 Phys. Rev. Lett.69 2863 [47] Schollwök U 2005 Rev. Mod. Phys.77 259 [48] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys.80 885 [49] Bergeman T, Moore G M and Olshanii M 2003 Phys. Rev. Lett.91 163201 [50] Altland A and Zirnbauer M R 1997 Phys. Rev. B55 1142 [51] Schnyder A P, Ryu S, Furusaki A and Ludwig A W W 2008 Phys. Rev. B78 195125 [52] Chiu C K, Teo J C Y, Schnyder A P and Ryu S 2016 Rev. Mod. Phys.88 035005 [53] Ludwig A W W 2016 Phys. Scr.T168 014001 [54] Morimoto T, Furusaki A and Mudry C 2015 Phys. Rev. B92 125104 [55] Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys.82 1959 [56] Zak J 1989 Phys. Rev. Lett.62 2747 [57] Lang L J, Zhang S L and Zhou Q 2017 Phys. Rev. A95 053615 [58] Zhao J Z, Hu S J and Zhang P 2015 Phys. Rev. Lett.115 195302 [59] Yoshida T, Peters R, FujimotoS and Kawakami N 2014 Phys. Rev. Lett.112 196404 [60] Turner A. M, Pollmann F and Berg E 2011 Phys. Rev. B83 075102 [61] Pollmann F, Turner A M, Berg E and Oshikawa M 2010 Phys. Rev. B81 064439 [62] Fidkowski L 2010 Phys. Rev. Lett.104 130502 [63] Flammia S T, A Hamma, Hughes T L and Wen X G 2009 Phys. Rev. Lett.103 261601 [64] Li H and Haldane F D M 2008 Phys. Rev. Lett.101 010504 [65] Hastings M B, González I, Kallin A B and Melko R G 2010 Phys. Rev. Lett.104 157201 [66] Daley A J, Pichler H, Schachenmayer J and Zoller P 2012 Phys. Rev. Lett.109 020505 [67] Abanin D A and Demler E 2012 Phys. Rev. Lett.109 020504 [68] Jiang H C, Wang Z H and Balents L 2012 Nat. Phys.8 902 [69] Islam R, Ma R, Preiss P M, Tai M E, Lukin A, Rispoli M and Greiner M 2015 Nature528 77 [70] Parsons M F, Mazurenko A, Chiu C. S, Ji G, Greif D and Greiner M 2016 Science353 1253
Superfluid to Mott-insulator transition in a one-dimensional optical lattice Wenliang Liu(刘文良), Ningxuan Zheng(郑宁宣), Jun Jian(蹇君), Li Tian(田丽), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Yongming Fu(付永明), Peng Li(李鹏), Vladimir Sovkov, Jie Ma(马杰), Liantuan Xiao(肖连团), and Suotang Jia(贾锁堂). Chin. Phys. B, 2022, 31(7): 073702.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.