In the present work, we theoretically study the entropy of a Cooper pair box coupled to a one-dimensional transmission line resonator. The proposed scheme uses the Jaynes-Cummings model in presence of losses to study the time avolution of the system entropy. The coupling of these two subsystems provides an important indication of the influence of Cooper pair box on the evolution of system entropy. Decaying CPB allows us to control variation of entropy at certain times.
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