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MIPT Conference 2016 “Superconducting hybrid nanostructures: physics and application” Nonadiabatic QED effects with Josephson qubits W. V. Pogosov1,2,3, A. A. Zhukov1,4, D. S. Shapiro1,2,5, S. V. Remizov1,5, and Yu. E. Lozovik1,6 1 All-Russia Research Institute of Automatics, Moscow, Russia Moscow Institute of Physics and Technology, Dolgoprudny, Russia 3 Institute for Theoretical and Applied Electrodynamics RAS, Moscow, Russia 4 National Research Nuclear University (MEPhI), Moscow, Russia 5 V. A. Kotel'nikov Institute of Radio Engineering and Electronics RAS, Moscow, Russia 6 Institute of Spectroscopy RAS, Troitsk, Russia 2 Quantum electrodynamics (QED) of superconducting circuits is one of fast and intensively developing fields of a modern physics. The interest to superconducting circuits, which consist of Josephson qubits and transmission line cavities, is heated by the possibility of implementation of quantum computation, observation of new phenomena of quantum optics, as well as an engineering of sub-wavelength quantum metamaterials. An outstanding feature of Josephson qubits is that their parameters are tunable in situ. Moreover, it is also possible to tune certain degrees of freedom which are normally frozen in optical systems, such as the coupling energy between the Josephson qubit and the photon mode. This possibility makes it perspective to use superconducting quantum circuits for investigation of various nonstationary QED effects related to vacuum amplification and parametric generation of excitations from vacuum via counter-rotating wave processes which are usually neglected. One of such phenomena is the dynamical Lamb effect, induced by a nonadiabatic modulation of atomic level Lamb shift [1], which was initially predicted for a natural atom placed into a cavity with time-dependent parameters. We here study the dynamical Lamb effect and accompanying quantum phenomena for the case of a coupled superconducting qubit-resonator system under variation of either the coupling energy [2,3] or resonator frequency [4]. Energy dissipation is taken into account. We reveal various dynamical regimes in which dynamical Lamb effect can be suppressed or enhanced in comparison with other channels of a parametric qubit excitation. We also find that the effect of energy dissipation on the dynamics of such systems can be highly nontrivial. One of the most striking results is that photon generation from vacuum can be strongly enhanced due to the qubit relaxation, which opens a new channel for such a process. We also show that parametric processes can be used to efficiently create entangled states of Josephson qubits. [1] N. B. Narozhny, A. M. Fedotov, Yu. E. Lozovik, Phys. Rev. A 64, 053807 (2001). [2] D. S. Shapiro, A. A. Zhukov, W. V. Pogosov, Yu. E. Lozovik, Phys. Rev. A 91, 063814 (2015). [3] A. A. Zhukov, D. S. Shapiro, W. V. Pogosov, Yu. E. Lozovik, Phys. Rev. A 93, 063845 (2016). [4] A. A. Zhukov, D. S. Shapiro, S. V. Remizov, W. V. Pogosov, Yu. E. Lozovik, arXiv:1607.03054. 1