Abstract
The eigenenergies and eigenfunctions of the electron's ground and first excited states are obtained with strong electron-LO-phonon coupling using the Pekar variational method in an asymmetric quantum dot (AQD). This AQD system may be used as a two-level qubit. When the electron is in the superposition state of the ground and the first excited states, we obtain the time evolution of the electron's probability density oscillating in the AQD. The relation between the electron's probability density and the temperature is derived. We then investigate the effects of the temperature and the electron-phonon coupling strength on the oscillation period. It is found that the electron's probability density and its oscillating period increase (decrease) with increasing temperature in the lower (higher) temperature regime. The oscillation period decreases (increases) with increasing electron-phonon coupling strength when the temperature is low (high). The period of oscillation increases with increasing confinement lengths.
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