{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/unifying-floquet-theory-of-longitudinal-and","title":"Unifying Floquet theory of longitudinal and dispersive readout","arxiv_id":"2407.03417","date":"2024-07-03","proceeding":null,"authors":["Alessandro Chessari","Esteban A. Rodríguez-Mena","José Carlos Abadillo-Uriel","Victor Champain","Simon Zihlmann","Romain Maurand","Yann-Michel Niquet","Michele Filippone"],"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.","url_abs":"https://arxiv.org/abs/2407.03417v2","url_pdf":"https://arxiv.org/pdf/2407.03417v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"unifying-floquet-theory-of-longitudinal-and","repo_url":"https://github.com/aleeschessari/Unifying-Floquet-Theory","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}