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

Olusola, O. I. and Shomotun, O. P. and Vincent, U. E. and McClintock, P. V. E. (2020) Quantum vibrational resonance in a dual-frequency driven Tietz-Hua quantum well. Physical Review E, 101: 052216. ISSN 1539-3755

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Abstract

We investigate the response of a quantum particle in the Tietz-Hua quantum potential driven by biharmonic fields – a low 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.