Using a hybrid system (Cooper pair box plus nanomechanical resonator) in the presence of Kerr nonlinearities and losses to control the entropy of the subsystems

Abstract

We consider the Jaynes-Cummings model describing the interaction of a Cooper pair box (CPB ) and a nanoresonator (NR) in the presence of a Kerr medium and losses The evolution of the entropy of both subsystems and the CPB population inversion were calculated numerically. It is found that these properties increase when the NR frequency is time-dependent, even in the presence of losses; the effect is very sensitive to detuning and disappears in the resonant regime. The roles played by the losses affecting the CPB and the NR are also compared.

The study of entropy in a transmission line resonator interacting with a capacitively coupled Cooper pair box

“…Hybrid systems in the treatment of quantum information have gained great interest in recent years [1][2], due to the great advantage of combining atoms, spins and solid state devices with various applications, for example quantum computation and quantum information [3][4], quantum state engineering [5][6][7][8], atomic physics and quantum optics [9][10], photon blockade [11][12], quantum dynamics [13], and propagating phonons [14]. Hybrid systems besides being an imminently robust architecture open a new frontier for studying the ultra-strong coupling between individual microwave photons and "atoms" [15].…”