Entanglement and work statistics in the driven open system.

We study the entanglement and work statistics in a two-qubit system under periodic driving. The regulation of periodic driving offers greater versatility and universality in contrast to reservoir engineering in static systems. Our research indicates that the external drive can effectively amplify the quasi-steady state entanglement in specific parameter regimes. Furthermore, the drive extends the range of temperatures or temperature differences at which entanglement can emerge. The quasi-steady state is determined by the alteration of inter-qubit coupling and system-bath coupling due to the addition of the driving, as viewed from the effective Hamiltonian. The quasi-periodic nature of the effective Hamiltonian gives rise to the emergence of a revival island in stroboscopic entanglement under certain driving conditions and temperatures. We have also investigated the work statistics of the driven system, which acts as a continuous quantum thermal machine and outputs work continuously and steadily at the quasi-steady state. By changing the driving, there is a distinct operation of modes and corresponding performance. The effective Hamiltonian is changed by the drive, which in turn changes the modes of energy exchange between the system and the baths as well as the work reservoir. [ABSTRACT FROM AUTHOR]