Rabi type oscillations in damped single 2D-quantum dot

We present a quantized model of harmonically confined dot atom with inherent damping in the presence of a transverse magnetic field. The model leads to a non hermitian Hamiltonian in real coordinate. We have analytically studied the effects that damping has on the Rabi type oscillations of the system. The model explains the decoherence of Rabi oscillation in a Josephson Junction.