Quantum Vibrational Resonance of Biharmonically Driven Tietz-Hua Quantum Well

Abstract

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 under the influence of the applied fields. It is shown that in the absence of the high-frequency component of the applied fields, the transition probability amplitude shows a distinct sequence of resonances, whereas an increase in the amplitude of the high-frequency field induces minima in the transition probability amplitude. However, the transition probability amplitude maximum occurs in the low-frequency regime where it may be considered otherwise weak in the presence of a single harmonic force.