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Optical fields, as a type of information carrier, travels fast and can carry a large of information in quantum information processing and transmission. Therefore, it’s concerned for the storage and retrieval of the quantum information. However, in the process of optical field propagation, its dispersion and diffraction effect cause distortion of quantum information in a certain range. Comparing with light, the optical solitons, which are from the balance between dispersion (diffraction) and nonlinearity of the system, possess higher stability and higher fidelity as the information carries, so that it has gained considerable attention in ultra-cold atomic and semiconductor quantum dots electromagnetically induced transparency (EIT) media and so on. Till now, there are few reports on the storage and retrieval of optical solitons in the semiconductor quantum wells system.
Based on this, we, in this paper, construct an N-type four-level asymmetrical GaAs/AlGaAs double quantum well EIT model with the cross-coupling relaxation of the longitudinal-optical phonons. Of course, the cross-coupling relaxation of the longitudinal-optical phonons between the conduction band levels of the GaAs/AlGaAs double quantum wells have been successfully embedded in the experiments. Subsequently, we study its linear absorption and nonlinear propagation properties by applying the semi-classical theory and the multi-scale method combined with numerical simulation. It is shown that when both control fields are turned on, there exhibits double transparent windows in the linear case. Interestingly, when the strength of the cross-coupling relaxation of the longitudinal-optical phonons increases, there occurs an approximately perfectly symmetrical double transparent window in the system.
For the nonlinear case, the optical solitons cannot propagate stably under the consideration of the third order of the multi-scale expansion,. Only after the forth order of the multi-scale expansion are considered, the optical solitons formed can propagate stably. It is worth mentioning that only higher-order optical solitons can be stored and retrieved by switching off and on the control fields. Furthermore, numerical simulation shows that the fidelity of the storage and retrieval of the optical soliton is higher than that of ordinary optical pulse. In addition, it is found that the amplitude of the stored optical soliton can be controlled by the strength of the cross-coupling relaxation of the longitudinal-optical phonons. These results are possibility to improve the fidelity for the storage and retrieval of quantum information in semiconductor quantum wells devices.-
Keywords:
- Electromagnetically induced transparency /
- Storage and retrieval of optical solitons /
- Semiconductor quantum well
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