Controlling Chaos in Superconducting Quantum Interference Devices
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- 英文论文题名：Controlling Chaos in Superconducting Quantum Interference Devices
- 论文作者：Yukai Tong ; Changlong Zhu ; Xueqian Wang ; Jing Zhang
- 英文论文作者：Yukai Tong ; Changlong Zhu ; Xueqian Wang ; Jing Zhang ; Department of Automation ; Tsinghua University ; Graduate School at Shenzhen ; Tsinghua University ; Center for Quantum Information Science and Technology ; Tsinghua National Laboratory for Information Science and Technology
- 年：2017
- 作者机构：Department of Automation,Tsinghua University;Graduate School at Shenzhen,Tsinghua University;Center for Quantum Information Science and Technology,Tsinghua National Laboratory for Information Science and Technology;
- 英文论文关键词：SQUID ; Chaos ; Lyapunov Exponent
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231;TH744.3
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：4
- 文件大小：350k
- 原文格式：D
- 会议级别：全国
摘要
This paper investigates the emergence and control of chaos in superconducting quantum interference devices using spectral analysis and Lyapunov exponent analysis.We derive state equations based on Josephson effects,analyze dynamical features of SQUID under different parametrical regimes and find the route from period to chaos.To clarify how initial values influence system evolution,we study the evolution of the adjacent trajectories of two nearby points in phase space and introduce the Lyapunov exponent as an index.We plot the curves of the Lyapunov exponent versus different parameters to show the switch between periodic state and chaotic state,and realize the control of chaos by tuning the bias current of SQUID.
This paper investigates the emergence and control of chaos in superconducting quantum interference devices using spectral analysis and Lyapunov exponent analysis.We derive state equations based on Josephson effects,analyze dynamical features of SQUID under different parametrical regimes and find the route from period to chaos.To clarify how initial values influence system evolution,we study the evolution of the adjacent trajectories of two nearby points in phase space and introduce the Lyapunov exponent as an index.We plot the curves of the Lyapunov exponent versus different parameters to show the switch between periodic state and chaotic state,and realize the control of chaos by tuning the bias current of SQUID.
This paper investigates the emergence and control of chaos in superconducting quantum interference devices using spectral analysis and Lyapunov exponent analysis.We derive state equations based on Josephson effects,analyze dynamical features of SQUID under different parametrical regimes and find the route from period to chaos.To clarify how initial values influence system evolution,we study the evolution of the adjacent trajectories of two nearby points in phase space and introduce the Lyapunov exponent as an index.We plot the curves of the Lyapunov exponent versus different parameters to show the switch between periodic state and chaotic state,and realize the control of chaos by tuning the bias current of SQUID.
引文
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[2]Hopfield J J,Onuchic J N,and Beratan D,A molecular shift register based on electron transfer,Science,241(4867):817-820,1988.
[3]Capasso F and Datta S,Quantum electron devices,Phys.Today,43(2):74-82,1990.
[4]G Wendin and VS Shumeiko,Quantum bits with Josephson junctions(Review Article),Low Temperature Physics,33:954-981,2007.
[5]RA Jalabert and HM Pastawski,EnvironmentIndependent Decoherence Rate in Classically Chaotic Systems,Phys.Rev.Lett.,86(12):2490-2493,2001.
[6]FM Cucchietti,DAR Dalvit,JP Paz and WH Zurek,Decoherence and the Loschmidt Echo,Phys.Rev.Lett.,91:210403,2003.
[7]HT Quan,Z Song,XF Liu,P Zanardi and CP Sun,Decay of Loschmidt Echo Enhanced by Quantum Criticality,Phys.Rev.Lett.,96:140604,2006.
[8]Dominguez D and Cerdeira HA,Order and turbulence in rf-driven Josephson junction series arrays,Phys.Rev.Lett.,71(20):3359-3362,1993.