SOLUTIONS OF THE TIME-DEPENDENT SCHRODINGER-EQUATION FOR A SQUID RING

In this paper we consider a quantum mechanical model for a SQUID ring subjected to a classical harmonic time varying perturbation. We descri be a computational scheme for solving the time dependent Schrodinger e quation for this system using a time dependent basis. We demonstrate t hat over a range of perturbation amplitudes and frequencies the time d ependent wavefunction can be calculated accurately using 2, 3 or 4 bas is states in the expansion. We calculate the time average of the expec tation value of the energy as a function of quasi-static applied magne tic flux and show from these calculations that the system appears to b e able to make transitions between states at specific values of this b ias flux, even when the microwave frequency is well off resonance.