New features of Wehrl entropy and Wehrl PD of a single Cooper-pair box placed inside a dissipative cavity

In this paper, we discuss the coherence of a single Cooper-pair box irradiated by a single-mode quantized field in a coherent state inside a phase-damped cavity. Analytic results under certain parametric conditions are obtained, by means of which we analyze the influence of dissipation on the Wehrl entropy and Wehrl phase distribution. An interesting relation between the coherence and the dissipation effect is observed.