Cross-Kerr coupling in the two-photon bosonic regime of a SQUID-coupled phase qubit never vanishes due to potential asymmetry and coupler nonlinearity, with explicit limits on the number of coherent states needed for the approximation.
(30), ˜gi 1 vanishes for the bias determined by the condition cotδ= 5 6 µφ2 a,zpf
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Two-photon coupling via Josephson element II: Interaction dressing, cross-Kerr coupling, and limits of low-energy bosonic model
Cross-Kerr coupling in the two-photon bosonic regime of a SQUID-coupled phase qubit never vanishes due to potential asymmetry and coupler nonlinearity, with explicit limits on the number of coherent states needed for the approximation.