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Acta Sinica Quantum Optica

Influence of Electron-phonon Interaction on the Optical Absorptions in Square Tangent Quantum Wells

周丽萍 ZHOU Li-ping, 唐宇 Tang Yu, 于凤梅 YU Feng-mei

Published Jan 1, 2014• 0 citations
Publisher
DOI
10.3788/asqo20142004.0331

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The optical absorptions coefficients with considering the electron-phonon interaction were theoretically studied in square tangent quantum wells.The wave functions and energy levels are described in square tangent quantum wells by perturbation theory when the polaron effects were considered,and analytic expression for the linear and the third-order nonlinear optical absorption coefficients was obtained by the compact density-matrix method and the iterative procedure.The numerical results for typical GaAs/AlGaAs material showed that the electron-phonon interaction had great influence on the linear,nonlinear and total optical absorption,meanwhile the absorption saturation phenomenon was more obvious than the one without considering the polaron effects.Moreover,the changes of the total optical absorptions increased with the well width b decreasing or the well depth V0 increasing when the electron-phonon interaction was considered.
The electron-phonon interaction influences on linear and nonlinear optical absorption in cylindrical quantum wires (CQW) with an infinite confining potential are investigated. The optical absorption coefficients are obtained by using the compact-density-matrix approach and iterative method, and the numerical results are presented for GaAs CQW. The results show that the electron-phonon interaction makes a distinct influence on optical absorption in CQW. The electron-phonon interaction on the wave functions of electron dominates the values of absorption coefficients and the correction of the electron-phonon effect on the energies of the electron makes the absorption peaks blue shift and become wider. Moreover, the electron-phonon interaction influence on optical absorption with an infinite confining potential is different from that with a finite confining potential.
The nonlinear absorption coefficient (NAC) of a strong electromagnetic wave (EMW) by confined electrons in quantum wells under the influences of confined phonons is theoretically studied by using the quantum transport equation for electrons. In comparison with the case of unconfined phonons, the dependence of the NAC on the energy (ħΩ), the amplitude (Eo) of external strong EMW, the width of quantum wells (L) and the temperature (T) of the system in both cases of confined and unconfined phonons is obtained. Two limited cases for the absorption: close to the absorption threshold (|kħΩ – ħω0| « ε) and far away from the absorption threshold (|kħΩ – ħωo| » ε) (k = 0,±1,±2,...,ωo and ε are the frequency of optical phonon and the average energy of electron, respectively) are considered. The formula of the NAC contains the quantum number m characterizing confined phonons and is easy to come back to the case of unconfined phonons and linear absorption. The analytic expressions are numerically evaluated, plotted and discussed for a specific case of the GaAs/GaAsAl quantum well. Results show that there are more resonant peaks of the NAC which appear in the case of confined phonons when Ω > ω 0 than in that of unconfined phonons. The spectrums of the NAC are very different from the linear absorption and strongly depend on m.