Predictive simulations of the dynamical response of mesoscopic devices: Part I

Dispersive gate sensing (DGS) is a common technique to probe quantum devices through microwave resonators. A quantitative understanding of the outcome of DGS measurements requires to simulate the dynamics of a quantum device in the presence of noise. This modeling can be complicated in mesoscopic quantum devices by the presence of many comparable energy scales. For example, in recent designs for topological qubit devices the coupling energies between different device components, the frequency and amplitude of the readout and temperature are all of similar order (of a few ueV). In this talk we describe how to accurately capture all these effects in an open quantum system framework using controlled approximations. Our approach non-perturbatively incorporates the readout drive, enabling the prediction of the signal-to-noise ratio in DGS measurements by accounting for backaction effects.