Intrinsic mechanisms for drive-dependent Purcell decay in superconducting quantum circuits

Abstract

We develop a new approach to understanding intrinsic mechanisms that cause the $T_1$-decay rate of a multi-level superconducting qubit to depend on the photonic population of a coupled, detuned cavity. Our method yields simple analytic expressions for both the coherently driven or thermally excited cases which are in good agreement with full master equation numerics, and also facilitates direct physical intuition. It also predicts several new phenomena. In particular, we find that in a wide range of settings, the cavity-qubit detuning controls whether a non-zero photonic population increases or decreases qubit Purcell decay. Our method combines insights from a Keldysh treatment of the system, and Lindblad perturbation theory.

21 pages, 4 figures

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• Practical Trainable Temporal Postprocessor for Multistate Quantum Measurement
• Effects of the measurement power on states discrimination and dynamics in a circuit-QED experiment
• In-situ tunable interaction with an invertible sign between a fluxonium and a post cavity
• Model Order Reduction for Open Quantum Systems Based on Measurement-adapted Time-coarse Graining
• Time-dependent Schrieffer-Wolff-Lindblad Perturbation Theory: measurement-induced dephasing and second-order Stark shift in dispersive readout
• Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits