Stark effect and generalized Bloch-Siegert shift in a strongly driven two-level system
Jani Tuorila, Matti Silveri, Mika Sillanpaa, Erkki Thuneberg, Yuriy, Makhlin, Pertti Hakonen

TL;DR
This paper investigates the Stark effect and Bloch-Siegert shift in a strongly driven superconducting qubit, revealing significant shifts that require advanced theoretical models for accurate explanation.
Contribution
It demonstrates the observation of pronounced Stark shifts in a superconducting qubit under ultrastrong driving, extending understanding beyond the lowest-order Bloch-Siegert correction.
Findings
Observed large Stark shifts in a superconducting qubit
Measured quasienergies consistent with Floquet theory
Identified need for higher-order corrections beyond Bloch-Siegert
Abstract
A superconducting qubit was driven in an ultrastrong fashion by an oscillatory microwave field, which was created by coupling via the nonlinear Josephson energy. The observed Stark shifts of the `atomic' levels are so pronounced that corrections even beyond the lowest-order Bloch-Siegert shift are needed to properly explain the measurements. The quasienergies of the dressed two-level system were probed by resonant absorption via a cavity, and the results are in agreement with a calculation based on the Floquet approach.
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