Unifying Floquet theory of longitudinal and dispersive readout
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916580675289088 |
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| author | Chessari, Alessandro Rodríguez-Mena, Esteban A. Abadillo-Uriel, José Carlos Champain, Victor Zihlmann, Simon Maurand, Romain Niquet, Yann-Michel Filippone, Michele |
| author_facet | Chessari, Alessandro Rodríguez-Mena, Esteban A. Abadillo-Uriel, José Carlos Champain, Victor Zihlmann, Simon Maurand, Romain Niquet, Yann-Michel Filippone, Michele |
| contents | 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 $ω_{\rm r}$, 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 $χ$ 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 ($ω_{\rm r}\rightarrow 0$) -- 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unifying Floquet theory of longitudinal and dispersive readout Chessari, Alessandro Rodríguez-Mena, Esteban A. Abadillo-Uriel, José Carlos Champain, Victor Zihlmann, Simon Maurand, Romain Niquet, Yann-Michel Filippone, Michele Quantum Physics Mesoscale and Nanoscale Physics 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 $ω_{\rm r}$, 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 $χ$ 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 ($ω_{\rm r}\rightarrow 0$) -- 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. |
| title | Unifying Floquet theory of longitudinal and dispersive readout |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.03417 |