S. P. Pedersen

The superconducting circuit companion — an introduction with worked examples

  1. S. E. Rasmussen,
  2. K. S. Christensen,
  3. S. P. Pedersen,
  4. L. B. Kristensen,
  5. T. Bækkegaard,
  6. N. J. S. Loft,
  7. and N. T. Zinner
This article is a tutorial on the quantum treatment of superconducting electrical circuits. It is intended for new researchers with limited or no experience with the field, but should
be accessible to anyone with a bachelor’s degree in physics or similar. The tutorial has three parts. The first part introduces the basic methods used in quantum circuit analysis, starting from a circuit diagram and ending with a quantized Hamiltonian truncated to the lowest levels. The second part introduces more advanced methods supplementing the methods presented in the first part. The third part is a collection of worked examples of superconducting circuits. Besides the examples in the third part, the two first parts also includes examples in parallel with the introduction of the methods.
arxiv pdf