Abstract
We show a simple scheme based on the full quantum description of the Jaynes-Cummings model to achieve the stable population transfer in a two-level system. The method discussed has been explained on the basis of the laser field sweeping in a finite time interval. The numerical results demonstrate that the half of ground state population can be simply transferred to the excited state only by finite variation of laser field in such a way that the stability of final probability is guaranteed. In this paper, the role of laser frequency, time interval and laser field sweeping range parameters are investigated and illustrated that by appropriately adjusting these parameters can be achieved the stable mixed-state. This idea is also analyzed and confirmed by the eigenstates evolution of system Hamiltonian.
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