超导量子位的量子相干可调谐耦合中的几何相位
Geometric Phase in a Quantum Coherent Tunable Coupling of Superconducting Qubits
摘要: 通过使用Lewis-Riesenfeld不变量理论，我们研究了超导量子位的量子相干可调耦合中的几何相位。发现几何相位与隧道分裂，直流能量偏置和HF信号等无关。这一结果对量子计算有一定的意义。
Abstract: By using the Lewis-Riesenfeld invariant theory, we have studied the geometric phase in a quantum coherent tunable coupling of superconducting qubits. The geometric phase has nothing to do with the tunnel splitting, but also the dc energy bias and the HF signal. This result has certain significance to the quantum computation.
文章引用：乔元新, 于肇贤. 超导量子位的量子相干可调谐耦合中的几何相位[J]. 凝聚态物理学进展, 2018, 7(1): 22-26. https://doi.org/10.12677/CMP.2018.71004

参考文献

[1] Berry, M.V. (1984) Quantal Phase Factors Accompanying Adibatic Changes. Proceedings of the Royal Society of London, 392, 45-57. [Google Scholar] [CrossRef] 
[2] Aharonov, Y. and Bohm, D. (1959) Sig-nificance of Electromagnetic Potentials in the Quantum Theory. Physical Review, 115, 485-491. [Google Scholar] [CrossRef] 
[3] Aharonov, Y. and Anandan, J. (1987) Phase Change during a Cyclic Quantum Evolution. Physical Review Letters, 58, 1953. [Google Scholar] [CrossRef] 
[4] Samuel, J. and Bhandari, R. (1988) General Setting for Berry’s Phase. Physical Review Letters, 60, 2339. [Google Scholar] [CrossRef] 
[5] Yu, Z.X. and Zhang, D.X. (1995) Phase Factor for Quan-tum Systems with Time-Bound Condition. Journal of Qingdao University, 8, 49.
[6] Pati, A.K. (1995) Geometric Aspects of Noncyclic Quantum Evolution. Physical Review A, 52, 2576-2584. [Google Scholar] [CrossRef] 
[7] Uhlmann, A. (1986) Parallel Transport and Quantum Ho-lonomy along Density Operators. Reports on Mathematical Physics, 24, 229-240. [Google Scholar] [CrossRef] 
[8] Sjoqvist, E., et al. (2000) Geometric Phases for Mixed States in Interferometry. Physical Review Letters, 85, 2845-2849. [Google Scholar] [CrossRef] 
[9] Gao, X.C., Xu, J.B. and Qian, T.Z. (1991) Geometric Phase and the Generalized Invariant Formulation. Physical Review A, 44, 7016. [Google Scholar] [CrossRef] 
[10] Lewis, H.R. and Riesenfeld, W.B. (1969) An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic Field. Journal of Mathematical Physics, 10, 1458. [Google Scholar] [CrossRef] 
[11] Gao, X.C., et al. (1996) Quantum-Invariant Theory and the Evolution of a Quantum Scalar Field in Robertson-Walker Flat Spacetimes. Physical Review D Particles & Fields, 53, 4374. [Google Scholar] [CrossRef] 
[12] Hou, Y.Z., Yu, Z.X. and Liu, Y.H. (1994) Using Quan-tum-Positive Transformations to Cause the Scalability of Topological Items to Obtain the Perturbation of Perturbation on the Contribution of Berry Phase factors. Journal of Xinyan Teachers College, 7, 37.
[13] Liang, J.Q. and Ding, X. (1991) Broken Gauge Equivalence of Hamiltonians Due to Time-Evolution and the Berry Phase. Physics Letters A, 153, 273-278. [Google Scholar] [CrossRef] 
[14] Sun, C.P. and Ge, M.L. (1990) General-izing Born-Oppenheimer Approximations and Observable Effects of an Induced Gauge Field. Physical Review D Part Fields, 41, 1349-1352. [Google Scholar] [CrossRef] 
[15] Sun, C.P. (1993) Quantum Dy-namical Model for Wave-Function Reduction in Classical and Macroscopic Limits. Physical Review A, 48, 898. [Google Scholar] [CrossRef] 
[16] Sun, C.P. (1988) Analytic Treatment of High-Order Adiabatic Approximations of 2-Neutrino Oscillations in Matter. Physical Review D Particles & Fields, 38, 2908-2910. [Google Scholar] [CrossRef] 
[17] Sun, C.P. et al. (1988) High-Order Quantum Adiabatic Ap-proximation and Berry’s Phase Factor. Journal of Physics A General Physics, 21, 1595. [Google Scholar] [CrossRef] 
[18] Chen, J.Q., Li, J. and Liang, Q. (2006) Critical Property of the Geometric Phase in the Dicke Model. Physical Review A, 74, 150. [Google Scholar] [CrossRef] 
[19] Fan, H.Y. and Ruan, T.N. (1984) Some New Applications of Coherent States. China Science, 42, 27.
[20] Tsui, D.C., et al. (1982) Two-Dimensional Magnetotransport in the Extreme Quantum Limit. Physical Review Letters, 48, 1559-1562. [Google Scholar] [CrossRef] 
[21] Semenoff, G.W., et al. (1986) Non-Abelian Adiabatic Phases and the Fractional Quantum Hall Effect. Physical Review Letters, 57, 1195-1198. [Google Scholar] [CrossRef] 
[22] Chen, C.M., et al. (1991) Quantum Hall Effect and Bery Phase Factor Physics. Acta Physica Sinica, 40, 345.
[23] Fan, H.Y. and Li, L.S. (1996) Supersymmetric Unitary Operator for Some Generalized Jaynes-Cummings Models Communications in Theoretical Physics, 25, 105. [Google Scholar] [CrossRef] 
[24] Wu, Y. and Yang, X. (1997) Jaynes-Cummings Model for a Trapped Ion in Any Position of a Standing Wave. Physical Review Letters, 78, 3086-3088. [Google Scholar] [CrossRef] 
[25] Niskanen, A.O., Harrabi, K., Yoshihara, F., Nakamura, Y., Lloyd, S. and Tsai, J.S. (2007) Quantum Coherent Tunable Coupling of Superconducting Qubits. Science, 316, 724. [Google Scholar] [CrossRef] [PubMed]
[26] Wei, J. and Norman, E. (1963) Lie Algebraic Solution of Linear Differential Equations. Journal of Mathematical Physics, 4, 575. [Google Scholar] [CrossRef] 

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