We present a general treatment of the magneto-optical response from systems of semiconductor nano objects of arbitrary shapes. Our theoretical hybrid method allows us to simulate the coherent manipulation of the quantum states of electrons and holes in nano objects and monitor that by means of analysis of the collective magneto-optical response from the system. As an example of the method implementation we consider the coherent manipulation of the electronic states of a asymmetrical double InAs quantum dot molecule embedded in GaAs matrix and the collective magneto-optical properties of a layer of the molecules. Our simulation results show that changes in the quantum-mechanical configuration of the quantum dot molecules can be observable by monitoring changes in the ellipsometric data obtained for layers made from these nano objects. The ellipsometric data clearly represent the quantum mechanics of the molecules.

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We theoretically study how reflection asymmetry affects the neutral exciton diamagnetic coefficient in selfassembled InGaAs/GaAs semiconductor wobbled quantum rings. The previously proposed mapping method is used to simulate the exciton wave function and energy in the rings. The description is suited to clarify the important question of the exciton diamagnetic coefficient stability in the rings with broken reflection symmetry. Our simulation results confirm that the exciton wave function of the reflection symmetrical (balanced) wobbled ring is distributed equally over two potential valleys corresponding to the hills in the ring's shape. At the same time, even a very small reflectional imbalance in the geometry and (or) material content of the wobbled rings destroys the ringlike shape of the exciton wave function and causes the localization of the function in one of the potential valleys of the ring (dotlike shape of the exciton wave function). This leads to a rapid decrease of the exciton diamagnetic coefficient. Our calculation results are in good agreement with recent experimental observations.