Pure dephasing in a superconducting three-level system

Abstract

The mathematical description of pure dephasing in a three-level system is not as straightforward as it is in a two-level system. Here we provide a detailed derivation of the Liouvillean for pure dephasing for a ladder three-level system, based on [J Li et al., Phys. Rev. B 84, 104527 (2011)]. Numerical calculations based on this model give good fittings to the spectral line and Autler-Townes splitting observed in a superconducting phase qubit. © Published under licence by IOP Publishing Ltd.