Dynamic quantum Kerr effect in circuit quantum electrodynamics
  A superconducting qubit coupled to a microwave resonator provides a controllable system that enables fundamental studies of light-matter interactions. In the dispersive regime, photons in the resonator exhibit induced frequency and phase shifts which are revealed in the resonator transmission spectrum measured with fixed qubit-resonator detuning. In this static detuning scheme, the phase shift is measured in the far-detuned, linear dispersion regime to avoid measurement-induced demolition of the qubit quantum state. Here we explore the qubit-resonator dispersive interaction over a much broader range of detunings, by using a dynamic procedure where the qubit transition is driven adiabatically. We use resonator Wigner tomography to monitor the interaction, revealing exotic non-linear effects on different photon states, e.g., Fock states, coherent states, and Schrodinger cat states, thereby demonstrating a quantum Kerr effect in the dynamic framework. 
Yi Yin, H. Wang, M. Mariantoni, Radoslaw C. Bialczak, R. Barends, Y.   Chen, M. Lenander, Erik Lucero, M. Neeley, A. D. O'Co...
cond-mat.supr-con cond-mat.mes-hall