Quantum evolution of a qubit state with decoherence and LFC

We study the Rabi oscillation of two-level system in double quantum dots, and found that the Rabi oscillation considering decoherence rate is a cycle attenuated oscillation when the qubit energy asymmetry epsilon = 0 (epsilon is the qubit energy asymmetry). The peak of Rabi oscillation alternatively changes in the case of the qubit energy asymmetry epsilon = H (H is the qubit tunneling matrix element). Moreover, the local field correction (LFC) greatly affects the frequency of Rabi oscillation, in which the Rabi frequency changes fast with LFC increasing.