半导体三量子点电磁感应透明介质中的非线性法拉第偏转

Nonlinear Faraday rotation in electromagnetically induced transparency medium of semiconductor three quantum dots

利用一束弱线性π偏振探测光在与其平行的磁场作用下所形成的两偏振分量,然后结合量子点间的隧穿耦合,构建了五能级M型半导体三量子点分子电磁感应透明介质.通过研究该体系的线性光学性质发现,操控量子点间隧穿耦合强度可有效调节系统中隧穿诱导透明窗口的宽度,并实现对介质的反常色散与正常色散的"开关"调节效应.随后,对体系非线性法拉第效应的研究发现,在相同的外加磁场下探测光的非线性法拉第偏转方向与线性法拉第偏转相反且非线性法拉第偏转角更大.

In the past few years, many interesting optical phenomena, such as electromagnetically induced transparency, coherent optical control of a biexciton, slow light and optical solitons, have been investigated in single quantum dot （QD）. However, in an actual semiconductor device there exist many quantum dots （QDs）. Recently, QD molecule, which is comprised of double semiconductor QDs coupled by tunneling coupling, has been proposed. In this new semiconductor structure, many complex but interesting phenomena have been discovered. In fact, three QD molecules may also be composed of three QDs, which can be coupled by interdot tunneling coupling. For the three semiconductor QDs molecules, the influence of the interdot tunneling coupling strength must be considered. So, in this paper, with considering that a weak, R-linear-polarized probe field can form left- and right-polarized components under the control of the parallel magnetic field, and when they are combined with the tunneling coupling among the QDs, an electromagnetically induced transparency medium of a five-level M configuration semiconductor three QDs is proposed. Subsequently, the nonlinear Faraday rotation in the semiconductor three QDs is analytically studied. For the linear case, the linear dispersion relation is driven by a method of multiple scales. Then, by studying the linear optical properties, it is found that the system exhibits a single tunneling induced transparency window due to the quantum destructive interference effect driven by the interdot tunneling coupling under appropriate conditions, and the width of the tunneling induced transparency window can be effectively controlled by the strength of the interdot tunneling coupling. Meanwhile, the ＂switch＂ regulatory effect, which changes from the anomalous dispersion regime to the normal dispersion regime, is likely to be achieved by changing the strength of the interdot tunneling coupling. For the nonlinear case, two coupled nonlinear Schrodinger equations, which govern the evolutions of left- and right-polarized components of the weak, To-linear-polarized probe field under the applied longitudinal magnetic field, are derived. By studying the nonlinear properties, it is shown that a large nonlinear Faraday rotation angle can be obtained due to the quantum interference effect which is induced by the interdot tunneling coupling with a very low absorption of the weak, π-linear-polarized probe field. In addition, it is also found that the nonlinear Faraday rotation direction is opposite to line Faraday rotation for the same magnetic field. What is more, the nonlinear Faraday rotation angle grows bigger than the linear Faraday rotation. These results mean that the Faraday rotation of the three semiconductor QDs with the electromagnetically induced transparency can be more effectively controlled by the nonlinear effect.