Theoretical Model Of The Two-Level Quantum Systems

We present a theoretical model for studying the oscillations among two-level quantum system when an interaction term is considered: First, we present the two-level quantum system with a symmetric double square potential well in interaction, in one dimension x, then we find the eigenvectors and the eigenvalues for this system by solving the stationary Schrödinger’s equation. Second, we proved that a non perturbative approach can be conveniently used to write the Hamiltonian operator and to derive the Rabi’s equation for this system, directly applying the time evolution operator to the initial state of the system.