title: Black-box superconducting circuit quantization.
abstract: We present a semiclassical 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 multimode 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.
authors.affiliation: Department of Physics, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: Simon E
authors.initials: SE
authors.lastname: Nigg
authors.forename: Hanhee
authors.initials: H
authors.lastname: Paik
authors.forename: Brian
authors.initials: B
authors.lastname: Vlastakis
authors.forename: Gerhard
authors.initials: G
authors.lastname: Kirchmair
authors.forename: S
authors.initials: S
authors.lastname: Shankar
authors.forename: Luigi
authors.initials: L
authors.lastname: Frunzio
authors.forename: M H
authors.initials: MH
authors.lastname: Devoret
authors.forename: R J
authors.initials: RJ
authors.lastname: Schoelkopf
authors.forename: S M
authors.initials: SM
authors.lastname: Girvin