Lifetime for resonant tunneling in a transverse magnetic field

We present a numerical study of the time-dependent resonant tunneling of a Gaussian wave packet through a double-barrier structure in a transverse magnetic field. From the decay rate of the charge trapped in the quantum well, we obtain the field dependence of the lifetime ${\tau }_0$ of the resonant level. ${\tau }_0$ is found to exhibit an oscillatory behavior with increasing magnetic field. This effect is explained as due to the field-induced hybridization of the resonant level with the interfacial Landau states corresponding to the semiclassical skipping orbits at the barrier interfaces. An experiment which should allow the observation of such effects in real heterostructures is suggested.