Zheng L M, Wang F Q, Liu S H. Geometric phase evolution of atom under non-Markovian environment [J]. Acta Phys. Sin.(物理学报), 2009, 58(4): 2430-2434. (in Chinese).？
[2]
Yi Xuehua, Zhang Qinghu. Berry’s geometric phase for two spin-1/2 particles in an entangled quantum system[J].Chinese Journal of Quantum Electronics (量子电子学报) , 2010, 27（3）：293-299 (in Chinese).？
[3]
Wang Y D, Xue F, Song Z, Sun C P. Detection mechanism for quantum phase transition in superconducting qubit array[J]. Phys. Rev. B, 2007, 76(17): 174519.？
[4]
Yu Y, Zhu S L, Sun G, Wen X, Dong N, Chen J, Wu P, Han S. Quantum Jumps between Macroscopic Quantum States of a Superconducting Qubit Coupled to a Microscopic Two-Level System [J]. Phys. Rev. Lett., 2008, 101(15): 157001.？
[5]
Wu S H, Hu M L, Li J, Xi X Q. Using Josephson charge qubits system to realize the transfer of a special kind of quantum state [J]. Acta Phys. Sin. (物理学报), 2011, 60(1): 010302 (in Chinese). [14]You J Q, Nori F. Superconducting circuits and quantum information [J]. Phys. Today, 2005, 58(11): 42-47.？
[6]
Ji Y H, Xu L. Entanglement decoherence of coupled superconductor qubits entangled states in non-Markovian environment[J].Chinese Journal of Quantum Electronics (量子电子学报) , 2011, 28（1）：56-64 (in Chinese).？
[7]
Feng Z B, Yan R Y. Robust quantum computation with superconducting charge qubits via coherent pulses [J]. Chin. Phys. Lett., 2010, 27(1): 010301.？
[8]
Astafiev O, Pashkin Y A, Yamamoto T, Nakamura Y, Tsai J S. Single-shot measurement of the Josephson charge qubit [J]. Phys. Rev. B, 2004, 69(18): 180507(R).？
[9]
Peng Z H, Zhang M J, Zheng D N. Detection of geometric phases in flux qubits with coherent pulses [J]. Phys. Rev. B, 2006, 73(2): 020502(R).？
[10]
M?tt?nen M, Vartiainen J J, Pekola J P. Experimental Determination of the Berry Phase in a Superconducting Charge Pump [J]. Phys. Rev. Lett., 2008, 100(17): 177201.？
[11]
Wang X B, Keiji M. Nonadiabatic detection of the geometric phase of the macroscopic quantum state with a symmetric SQUID [J]. Phys. Rev. B, 2002, 65(17): 172508.？
[12]
Zee A. Non-Abelian gauge structure in nuclear quadrupole resonance [J]. Phys. Rev. A, 1988, 38(1): 1.？
[13]
Feng Z B, Zhang Y M, Wang G Z, Han H. Detecting non-Abelian geometric phases with superconducting nanocircuits [J]. Physica E, 2009, 41(10): 1859-1863.？
[14]
Faoro L, Siewert J, Fazio R. Non-Abelian Holonomies, Charge Pumping, and Quantum Computation with Josephson Junctions [J]. Phys. Rev. Lett., 2003, 90(2): 028301.？
[15]
Ruseckas J, Juzeliūnas G, ？hberg P, Fleischhauer M. Non-Abelian Gauge Potentials for Ultracold Atoms with Degenerate Dark States [J]. Phys. Rev. Lett., 2005, 95(1): 010404.？
[16]
Zhang X D, Wang Z D, Hu L B, Zhang Z M, Zhu S L. Detecting unambiguously non-Abelian geometric phases with trapped ions [J]. New J. Phys., 2008, 10(4): 043031.？
[17]
Bergmann K, Theuer H, Shore B W. Coherent population transfer among quantum states of atoms and molecules [J]. Rev. Mod. Phys., 1998, 70(3): 1003-1025.？
[18]
Pashkin Y A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V, Tsai J S. Quantum oscillations in two coupled charge qubits [J]. Nature, 2003, 421(6925): 823-826.？
[19]
Liu Y X, You J Q, Wei L F, Sun C P, Nori F. Optical Selection Rules and Phase-Dependent Adiabatic State Control in a Superconducting Quantum Circuit [J].Phys. Rev. Lett., 2005, 95(8): 087001.
[20]
Berry M V. Quantal phase-factor accompanying adiabatic changes [J]. Proc. R. Soc. London A, 1984, 392(1802): 45-57.？
[21]
Wilczek F, Zee A. Appearance of gauge structure in simple dynamical systems [J]. Phys. Rev. Lett., 1984, 52(24): 2111.？
[22]
Zanardi P, Rasetti M. Holonomic quantum computation [J]. Phys. Lett. A, 1999, 264(2-3): 94-99.？
[23]
Feng Z B, Zhang X D. Holonomic quantum computation with superconducting charge-phase qubits in a cavity [J]. Phys. Lett. A, 2008, 372(10): 1589-1594.？
[24]
Brosco V, Fazio R, Hekking F W J, Joye A. Non-abelian superconducting pumps [J]. Phys. Rev. Lett., 2008, 100(2): 027002.？
[25]
Falci G, Fazio R, Palma G M, Siewert J, Vedral V. Detection of geometric phases in superconducting nanocircuits [J]. Nature, 2000, 407(6802): 355-358.？
[26]
M?tt?nen M, Pekola J P, Vartiainen J J, Brosco V, Hekking F W J. Measurement scheme of the Berry phase in superconducting circuits [J]. Phys. Rev. B, 2006, 73(21): 214523.？
[27]
Leek P J, Fink J M, Blais A, Bianchetti R, G?ppl M, Gambetta J M, Schuster D I, Frunzio L, Schoelkopf R J, Wallraff A. Observation of Berry’s Phase in a Solid-State Qubit [J]. Science, 2007, 318(5858): 1889-1892.？
