Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

We investigate the response of a quantum particle in the Tietz-Hua quantum potential driven by biharmonic fields: a low-frequency force and a very high frequency force. The response is characterized by the occurrence of a maximum in the first-order transition probability amplitude ${|s|}^{2}$ under the influence of the applied fields. It is shown that in the absence of the high-frequency component of the applied fields, ${|s|}^{2}$ shows a distinct sequence of resonances, whereas an increase in the amplitude of the high-frequency field induces minima in ${|s|}^{2}$. However, the ${|s|}^{2}$ maximum occurs in the low-frequency regime where it may be considered otherwise weak in the presence of a single harmonic force.