Resonators coupled to voltage-biased Josephson junctions: From linear response to strongly driven nonlinear oscillations
Resonators coupled to voltage-biased Josephson junctions: From linear response to strongly driven nonlinear oscillations
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DOI：
10.1103/physrevb.92.174532
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发表时间：
2015-11-30
影响因子：
3.7
通讯作者：
Kubala, B.
中科院分区：
文献类型：
--
作者：
Meister, S.;Mecklenburg, M.;Kubala, B.
受最近将电压偏置约瑟夫森结与谐振器串联的实验的启发，在参数空间的各个域中研究了电路的经典动力学。该问题可以映射到非线性瞬态势中单自由度的耗散运动，其中与传统设置相比，非线性出现在驱动中，而静态势是纯谐波。在很长一段时间内，系统接近稳态，并在欠阻尼状态下对整个驱动参数范围进行分析，包括基波谐振以及高次谐波和分谐波。诸如直流约瑟夫森电流和辐射微波功率之类的可观测量提供了有关潜在动力学的直接信息，涵盖了分叉、不规则运动和上转换和下转换等现象。由于其可调谐性，当前和未来的设置提供了多功能平台，以探索在明确条件下驱动耗散系统中从线性响应到强非线性行为的转变。
Motivated by recent experiments in which a voltage-biased Josephson junction is placed in series with a resonator, the classical dynamics of the circuit is studied in various domains of parameter space. This problem can be mapped onto the dissipative motion of a single degree of freedom in a nonlinear time-dependent potential, where in contrast to conventional settings the nonlinearity appears in the driving while the static potential is purely harmonic. For long times the system approaches steady states which are analyzed in the underdamped regime over the full range of driving parameters including the fundamental resonance as well as higher harmonics and subharmonics. Observables such as the dc-Josephson current and the radiated microwave power give direct information about the underlying dynamics covering phenomena such as bifurcations, irregular motion, and up-and down-conversion. Due to their tunability, present and future setups provide versatile platforms to explore the changeover from linear response to strongly nonlinear behavior in driven dissipative systems under well defined conditions.