Quantum Transition of an Electron in an Asymmetric Quantum Dot

Abstract

We have studied the transition probability of an electron in an asymmetric quantum dot (AQD). The energy levels and the wave functions of the ground and the first excited states of an electron in a static electric field have been calculated by using a variational method of Pekar type. And the eigen energies of the ground and the first excited states in this system may be used as a two-level qubit. We assume the electron to be in system’s ground state in the initial time, the electron transits from the ground state to the excited state in presence of the external electric field F along the z axis. Numerical calculation results show that the transition probability of the electron increases with increasing the transverse confinement length and the longitudinal confinement length of AQD and decreases with increasing the electron-phonon coupling strength. The transition probability of the electron is an increasing function of the electric field strength.