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 ${\left|s\right|}^2$ under the influence of the applied fields. It is shown that in the absence of the high-frequency component of the applied fields, ${\left|s\right|}^2$ shows a distinct sequence of resonances, whereas an increase in the amplitude of the high-frequency field induces minima in ${\left|s\right|}^2$. However, the ${\left|s\right|}^2$ maximum occurs in the low-frequency regime where it may be considered otherwise weak in the presence of a single harmonic force.

• Received 1 April 2020
• Revised 2 May 2020
• Accepted 12 May 2020

DOI:https://doi.org/10.1103/PhysRevE.101.052216