Dissipation in circuit QED

Recently many experimental and theoretical works realized concepts originally introduced in the field of quantum optics. In the present work, we study the dynamics of a flux qubit coupled to a slow LC-oscillator in presence of noise. The qubit is driven to perform Rabi oscillations, and the Rabi frequency is tuned to resonance with the oscillator. When the qubit driving frequency is blue-detuned, the system exhibits lasing behaviour; for red detuning, the qubit cools the oscillator. We analyze the effects of different types of environment on the dynamics of this system. We show that there is a remarkable dependence of the lasing and cooling on the noise spectrum acting on the qubit