Figure 5
From: Hamiltonian of a flux qubit-LC oscillator circuit in the deep–strong-coupling regime

Parameters of \(\hat{\mathcal {H}}_{R}\) obtained from the relations described in Table 1, (red solid lines) and by fitting the spectra of \(\hat{\mathcal {H}}_{circ}\) up to the third excited state to \(\hat{\mathcal {H}}_{R}\) (black dashed lines) as a function of \(L_c\). Panels (a–d) respectively correspond to the oscillator frequency \(\omega\), qubit frequency \(\Delta _q\), coupling strength g, and persistent current \(I_p\) in \(\hat{\mathcal {H}}_R\). (e) The average of the squares of the residuals in the least-squares method for obtaining the parameters of \(\hat{\mathcal {H}}_{R}\) by fitting, \(\overline{[\delta \omega _{0i}/(2\pi )]^2}\) (i = 1, 2, and 3).