simpleLOMs¶
Simple Lumped Oscillator Models for superconducting quantum device design.
This package provides an easy way to extract effective lumped oscillator models, known as lumped element models, for distributed elements in superconducting quantum device design. In superconducting quantum device design, finite element electromagnetic (FEM) simulations are required throughout the design process. These are both computationally intensive and time-consuming. Lumped oscillator models (LOMs) allow for modular FEM simulations of superconducting device designs that can then be combined in an effective circuit model. These lumped circuit models are easily translated into circuit Hamiltonians. However, accurately incorporating the effects of distributed elements such as transmission line resonators is a challenge.
This package develops and tests a higher-order effective lumped oscillator model for a coplanar waveguide (CPW) resonator coupled to arbitrary loads. The LOM uses capacitances obtained from FEM simulations of individual circuit elements and numerical calculations of distributed element impedances to construct an effective lumped resonator for each distributed resonator. Importantly, the model takes into account loading on both ends of a transmission line. It shows a significant improvement over the baseline LOM in predicting the system’s Hamiltonian parameters: resonant frequency, coupling to lossy elements, and coupling to other resonant modes.
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Documentation
