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A driven resonator coupled to a josephson junction: An exploration of the quantum and classical dynamics.

机译:耦合到约瑟夫逊结的驱动谐振器:量子动力学和经典动力学的探索。

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摘要

We provide a theoretical model for a design involving a dc voltage biased Josephson Junction (JJ) that strongly drives a high quality factor microwave cavity via the ac Josephson effect. We explore the rich classical dynamics of the resultant nonlinear differential equation that categorizes the system. We contrast this with the quantum dynamics as derived by a model using the so called Rotating Wave Approximation Hamiltonian, and independently a Floquet analysis approach where no approximation is made on the Hamiltonian. We find that for certain parameters there is evidence of quantum activation, a process of over barrier transitions that stems from purely quantum mechanical considerations, and define an effective temperature that is non-zero even when coupled to a zero temperature bath.
机译:我们为涉及直流偏置的约瑟夫逊结(JJ)的设计提供了理论模型,该结通过交流约瑟夫森效应强烈驱动高质量因子微波腔。我们探索了对系统进行分类的所得非线性微分方程的丰富经典动力学。我们将其与通过使用旋转波近似哈密顿量模型推导的量子动力学以及独立的不对哈密顿量进行近似的浮球分析方法进行对比。我们发现,对于某些参数,存在量子活化的证据,这是纯粹出于量子力学考虑而产生的越过势垒跃迁的过程,并且定义了即使耦合至零温度浴池的有效温度也不为零。

著录项

  • 作者

    Brahimi, Erind.;

  • 作者单位

    Dartmouth College.;

  • 授予单位 Dartmouth College.;
  • 学科 Physics.;Condensed matter physics.
  • 学位 Ph.D.
  • 年度 2016
  • 页码 166 p.
  • 总页数 166
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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