Black-box superconducting circuit quantization

Details Black-box superconducting circuit quantization Black-box superconducting circuit quantization

2012-04-03

arxiv.org/abs/1204.0587v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 6 figures, includes supplementary material

Scientific paper

We present a semi-classical method for determining the effective low-energy quantum Hamiltonian of weakly anharmonic superconducting circuits containing mesoscopic Josephson junctions coupled to electromagnetic environments made of an arbitrary combination of distributed and lumped elements. A convenient basis, capturing the multi-mode physics, is given by the quantized eigenmodes of the linearized circuit and is fully determined by a classical linear response function. The method is used to calculate numerically the low-energy spectrum of a 3D-transmon system, and quantitative agreement with measurements is found.

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