The scattering coefficients of superconducting microwave resonators: II. System-bath approach

  1. Qi-Ming Chen,
  2. Matti Partanen,
  3. Florian Fesquet,
  4. Kedar E. Honasoge,
  5. Fabian Kronowetter,
  6. Yuki Nojiri,
  7. Michael Renger,
  8. Kirill G. Fedorov,
  9. Achim Marx,
  10. Frank Deppe,
  11. and Rudolf Gross
We describe a unified quantum approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. We also generalize the method to a chain of resonators in either hanger- or necklace-type, and reveal interesting transport properties similar to a photonic crystal. It is shown that both the quantum and classical analyses provide consistent results, and they together form a solid basis for analyzing the decoherence effect in a general microwave resonator. These results pave the way for designing and applying superconducting microwave resonators in complex circuits, and should stimulate the interest of distinguishing different decoherence mechanisms of a resonator mode beyond free energy relaxation.
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