Abstract
We explore the pattern of time evolution of a harmonically confined single carrier 2-d quantum dot when an external time varying polychromatic radiation field is switched on. The radiation field is composed of four mutually prime "nonresonant" frequencies. For given strengths of the confining field, cyclotron frequency, intensities, and oscillation frequencies of the external field, the system reveals a counter-intuitive long-time dynamics leading to a kind of localization in the unperturbed state space. The presence of cubic and quartic anharmonicity in the confining fields, and phase shifts in the external radiation fields, bring in new features in the dynamics. Time dependent Hellman–Feynmann theorem is invoked to gain insight into the frequency resolved absorption spectrum.
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