1 Bloch F and Rabi I I 1945 Rev. Mod. Phys. 17 237 2 Niu Q 2012 Physics 5 65 3 Biedenharn L C, Louck J D,Carruthers P A1981 Angular Momentum in Quantum Physics: Theory and Application (Academic Press: New York) p. 269 4 Majorana E 1932 Il Nuovo Cimento 9 43 5 M\"akel\"a H and Messina A 2010 Phys. Rev. A 81 012326 6 M\"akel\"a H and Messina A 2010 Phys. Scr. 2010 014054 7 Ganczarek W, Ku\'s M and \.Zyczkowski K K 2012 Phys. Rev. A 85 032314 8 Ribeiro P and Mosseri R 2011 Phys. Rev. Lett. 106 180502 9 Markham D J H 2011 Phys. Rev. A 83 042332 10 Mandilara A, Coudreau T, Keller A and Milman P 2014 Phys. Rev. A 90 050302 11 Guo W M and Qin L R 2018 Chin. Phys. B 27 110302 12 Yin S Y, Liu Q X, Song J, Xu X X, Zhou K Y and Liu S T 2017 Chin. Phys. B 26 100501 13 Ribeiro P, Vidal J and Mosseri R 2007 Phys. Rev. Lett. 99 050402 14 Ribeiro P, Vidal J and Mosseri R 2008 Phys. Rev. E 78 021106 15 Barnett R, Turner A and Demler E 2006 Phys. Rev. Lett. 97 180412 16 Barnett R, Turner A and Demler E 2007 Phys. Rev. A 76 013605 17 Yang C, Guo H, Fu L B and Chen S 2015 Phys. Rev. B 91 125132 18 Stamper-Kurn D M and Ueda M 2013 Rev. Mod. Phys. 85 1191 19 Kawaguchi Y and Ueda M 2012 Phys. Rep. 520 253 20 Lian B, Ho T L and Zhai H 2012 Phys. Rev. A 85 051606 21 Cui X, Lian B, Ho T L, Lev B L and Zhai H 2013 Phys. Rev. A 88 011601 22 Fang J, Han D M, Liu H, Liu H D and Zheng T Y 2017 Acta Phys. Sin. 66 160302 (in Chinese) 23 Bruno P 2012 Phys. Rev. Lett. 108 240402 24 Liu H D and Fu L B 2014 Phys. Rev. Lett. 113 240403 25 Niu P B, Shi Y L, Sun Z and Nie Y H 2015 Chin. Phys. B 24 127309 26 Bouchard F, dela Hoz P, Bj\"ork G, Boyd R W, Grassl M, Hradil Z, Karimi E, Klimov A B, Leuchs G, \vReh\'a\vcek J and S\'anchez-Soto L L 2017 Optica 4 1429 27 Goldberg A Z and James D F V 2018 Phys. Rev. A 98 032113 28 Goldberg A Z and James D F V 2017 Phys. Rev. A 96 053859 29 Berry M V 1984 Proc. R. Soc. Lond. A 392 45 30 Chru\'sci\'nski D and Jamio\lkowski A2004 Geometric Phases in Classical and Quantum Mechanics, Progress in Mathematical Physics(Boston: Springer) p. 79 31 Bohm A, Mostafazadeh A, Koizumi H, Niu Q and Zwanziger J2003 The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics (Berlin: Springer-Verlag) p. 14 32 Simon B 1983 Phys. Rev. Lett. 51 2167 33 Hannay J H 1998 J. Phys. A: Math. Gen. 31 L53 34 Tamate S, Ogawa K and Kitano M 2011 Phys. Rev. A 84 052114 35 Ogawa K, Tamate S, Kobayashi H, Nakanishi T and Kitano M 2015 Phys. Rev. A 91 062118 36 Coffman V, Kundu J and Wootters W K 2000 Phys. Rev. A 61 052306 37 Miyake A 2003 Phys. Rev. A 67 012108 38 D\"ur W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314 39 Ac\'ín A, Bru\ss D, Lewenstein M and Sanpera A 2001 Phys. Rev. Lett. 87 040401 40 Liu H D and Fu L B 2016 Phys. Rev. A 94 022123 41 Aulbach M, Markham D and Murao M 2010 New J. Phys. 12 073025 42 Wang Z and Markham D 2012 Phys. Rev. Lett. 108 210407 43 Wang Z and Markham D 2013 Phys. Rev. A 87 012104 44 Bastin T, Krins S, Mathonet P, Godefroid M, Lamata L and Solano E 2009 Phys. Rev. Lett. 103 070503 45 Mathonet P, Krins S, Godefroid M, Lamata L, Solano E and Bastin T 2010 Phys. Rev. A 81 052315 46 Ribeiro P and Mosseri R 2011 Phys. Rev. Lett. 106 180502 47 Su W P, Schrieffer J R and Heeger A J 1979 Phys. Rev. Lett. 42 1698 48 Su W P, Schrieffer J R and Heeger A J 1980 Phys. Rev. B 22 2099 49 Su W P and Schrieffer J R 1981 Phys. Rev. Lett. 46 738 50 Ryu S and Hatsugai Y 2002 Phys. Rev. Lett. 89 077002 51 Delplace P, Ullmo D and Montambaux G 2011 Phys. Rev. B 84 195452 52 Shen S Q2012 Topological Insulators: Dirac Equation in Condensed Matters (Berlin: Springer) p. 75 53 Zak J 1989 Phys. Rev. Lett. 62 2747 54 Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959 55 Atala M, Aidelsburger M, Barreiro M T, Abanin D, Kitagawa T, Demler E and Bloch I 2013 Nat. Phys. 9 795 56 Liu H D, Fu L B and Wang X 2017 Commun. Theor. Phys. 67 611 57 Yao F, Li D, Liu H, Fu L and Wang X 2017 Sci. Rep. 7 15558 58 Brody D C and Hughston L P 1998 Proc. R. Soc. London A 454 2445 59 Brody D C and Hughston L P 2001 J. Geom. Phys. 38 19 60 Quan H T, Song Z, Liu X F, Zanardi P and Sun C P 2006 Phys. Rev. Lett. 96 140604 61 Ahmadi M, Jennings D and Rudolph T 2010 Phys. Rev. A 82 032320 62 Fontana P R 1962 Phys. Rev. 125 1597 63 Raedt B De and Raedt H De 1983 Phys. Rev. Lett. 50 1926 64 Haaker S M, Bais F A and Schoutens K 2014 Phys. Rev. A 89 032105 65 Bj\"ork G, Grassl M, dela Hoz P, Leuchs G and S\'anchez-Soto L L 2015 Phys. Scr. 90 108008 |