Sideband Transitions and Two-Tone Spectroscopy of a Superconducting Qubit Strongly Coupled to an On-Chip Cavity
A. Wallraff, D. I. Schuster, A. Blais, J. M. Gambetta, J. Schreier, L., Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf

TL;DR
This paper investigates sideband transitions in a superconducting qubit coupled to a cavity, demonstrating large ac-Stark shifts and exploring their implications for quantum information processing.
Contribution
It provides experimental observation and theoretical analysis of sideband transitions in a strongly coupled superconducting qubit-cavity system at the optimal charge bias point.
Findings
Large dispersive ac-Stark shifts observed
Sideband transitions require two-photon processes at optimal bias
Results align well with theoretical predictions
Abstract
Sideband transitions are spectroscopically probed in a system consisting of a Cooper pair box strongly but non-resonantly coupled to a superconducting transmission line resonator. When the Cooper pair box is operated at the optimal charge bias point the symmetry of the hamiltonian requires a two photon process to access sidebands. The observed large dispersive ac-Stark shifts in the sideband transitions induced by the strong non-resonant drives agree well with our theoretical predictions. Sideband transitions are important in realizing qubit-photon and qubit-qubit entanglement in the circuit quantum electrodynamics architecture for quantum information processing.
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