Black-box superconducting circuit quantization
Mesoscale and Nanoscale Physics
2012-08-02 v1 Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1204.0587,
title = {Black-box superconducting circuit quantization},
author = {Simon E. Nigg and Hanhee Paik and Brian Vlastakis and Gerhard Kirchmair and Shyam Shankar and Luigi Frunzio and Michel Devoret and Robert Schoelkopf and Steven Girvin},
journal= {arXiv preprint arXiv:1204.0587},
year = {2012}
}
Comments
10 pages, 6 figures, includes supplementary material