Resonances crossing in double-well quantum systems ^*

When the energy levels of a double-well system are nearly aligned, a beating motion occurs between the two wells. However, in the case of quantum resonances this scenario is much more intricate because in the complex plane two different types of resonance crossings (RCs) there exist, and beating motion occurs in only one of them. In this paper we use a quantitative criterion to determine whether the parameters of the quantum system are associated with one type of RC or the other. This analysis is essential for designing a quantum sensor made by heterostructures that easily and quickly measures whether an electric field has a predefined intensity.