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Energy-participation quantization of Josephson circuits

Abstract : Abstract Superconducting microwave circuits incorporating nonlinear devices, such as Josephson junctions, are a leading platform for emerging quantum technologies. Increasing circuit complexity further requires efficient methods for the calculation and optimization of the spectrum, nonlinear interactions, and dissipation in multi-mode distributed quantum circuits. Here we present a method based on the energy-participation ratio (EPR) of a dissipative or nonlinear element in an electromagnetic mode. The EPR, a number between zero and one, quantifies how much of the mode energy is stored in each element. The EPRs obey universal constraints and are calculated from one electromagnetic-eigenmode simulation. They lead directly to the system quantum Hamiltonian and dissipative parameters. The method provides an intuitive and simple-to-use tool to quantize multi-junction circuits. We experimentally tested this method on a variety of Josephson circuits and demonstrated agreement within several percents for nonlinear couplings and modal Hamiltonian parameters, spanning five orders of magnitude in energy, across a dozen samples.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-03467417
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Submitted on : Monday, December 6, 2021 - 3:01:28 PM
Last modification on : Thursday, January 20, 2022 - 5:29:58 PM

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Zlatko Minev, Zaki Leghtas, Shantanu Mundhada, Lysander Christakis, Ioan Pop, et al.. Energy-participation quantization of Josephson circuits. npj Quantum Information, Nature, 2021, 7 (1), ⟨10.1038/s41534-021-00461-8⟩. ⟨hal-03467417⟩

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