MSU Doctoral Student’s Work Featured in APS Review
Connor Glosser, a doctoral student in theDepartment of Computational Mathematics, Science and Engineering, in part with Shanker Balasubramaniam, professor, Department of Electrical and Computer Engineering, and Carlo Piermarocchi, professor, Department of Physics and Astronomy, has been published in the American Physical Society Journal and featured in the Kaleidoscope collection.
Glosser specializes in the application of time-domain integral equations (TDIEs) to a variety of acoustic, electromagnetic, and quantum mechanical phenomena.
Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the three-dimensional Maxwell-Bloch equations in ensembles of up to 104 quantum dots, we observe features in Rabi oscillations due to the interplay of nonlinearity, nonequilibrium excitation, and electromagnetic coupling between the dots. This approach allows us to observe the dynamics of each dot in the ensemble without resorting to spatial averages. Our simulations predict synchronized multiplets of dots that exchange energy, dots that dynamically couple to screen the effect of incident external radiation, localization of the polarization due to randomness and interactions, as well as wavelength-scale regions of enhanced and suppressed polarization.
- via the Department of Computational Mathematics, Science and Engineering website
PHOTO: Coloration of |˜ρ01| at t1=−0.05, t2=0, t3=0.05, and t4=0.10ps relative to the peak of a 1-ps-wide pulse. 10 000 quantum dots randomly distributed throughout a 0.2(radius)×4μm cylinder oriented along kL demonstrate the near-field effects of Fig. 2 as distinct, outlying bright (dark) quantum dots. Additionally, the size of the system allows for wavelength-scale phenomena that appear here as five standing regions of enhanced polarization. (Note that we model quantum dots as point objects; the size of the spheres here has no physical interpretation.)