Unifying Floquet theory of longitudinal and dispersive readout

• URL: http://arxiv.org/abs/2407.03417v1
• Date: Wed, 3 Jul 2024 18:00:47 GMT
• Title: Unifying Floquet theory of longitudinal and dispersive readout
• Authors: Alessandro Chessari, Esteban A. Rodríguez-Mena, José Carlos Abadillo-Uriel, Victor Champain, Simon Zihlmann, Romain Maurand, Yann-Michel Niquet, Michele Filippone,
• Abstract summary: We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. We apply them to superconducting and spin-hybrid cQED systems.
• Score: 33.7054351451505
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. By studying qubits coupled to cavity photons and driven at the resonance frequency of the cavity $\omega_{\rm r}$, we establish a universal connection between the qubit AC Stark shift and the longitudinal and dispersive coupling to photons. We find that the longitudinal coupling $g_\parallel$ is controlled by the slope of the AC Stark shift as function of the driving strength $A_{\rm q}$, while the dispersive shift $\chi$ depends on its curvature. The two quantities become proportional to each other in the weak drive limit ($A_{\rm q}\rightarrow 0$). Our approach unifies the adiabatic limit ($\omega_{\rm r}\rightarrow 0$) -- where $g_\parallel$ is generated by the static spectrum curvature (or quantum capacitance) -- with the diabatic one, where the static spectrum plays no role. We derive analytical results supported by exact numerical simulations. We apply them to superconducting and spin-hybrid cQED systems, showcasing the flexibility of faster-than-dispersive longitudinal readout.

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