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

O. I. Olusola, Oluwasijibomi Prince Shomotun, U. E. Vincent, P. V. E. McClintock

2020Physical review. E32 citationsDOIOpen Access PDF

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 |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.

Topics & Concepts

PhysicsAmplitudeQuantumResonance (particle physics)Probability amplitudeBiharmonic equationQuantum mechanicsHarmonicQuantum electrodynamicsAtomic physicsQuantum dynamicsQuantum operationBoundary value problemstochastic dynamics and bifurcationSpectroscopy and Quantum Chemical StudiesMechanical and Optical Resonators
Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well | Litcius