2012/04/03 by Simon E. Nigg, Hanhee Paik, Brian Vlastakis +6 · 2 citations
Physics and Astronomy · #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.108.240502
published as Phys. Rev. Lett. 108, 240502 (2012) · 10 pages, 6 figures, includes supplementary material
arxiv created 2012/04/03 · arxiv updated 2012/08/02
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.