Interaction of Quantum Dot Molecules with Multi-Mode Radiation Fields


Department of Electrical Engineering,Sharif University of Technology


In this article, the interaction of an arbitrary number of quantum dots behaving as arti cial
molecules with di erent energy levels and a multi-mode electromagnetic eld is studied. We make the
assumption that each quantum dot can be represented as an atom with zero kinetic energy, and that all
excitonic e ects except dipole-dipole interactions may be disregarded. We use the Jaynes-Cummings-Paul
model with applications to quantum systems based on a time-dependent Hamiltonian and entangled states.
We obtain a system of equations describing the interaction, and present a method to solve the equations
analytically for a single mode eld within the Rotating-Wave Approximation. As an example of the
applicability of this approach, we solve the system of two, two-level quantum dots in a lossless cavity with
two modes of electromagnetic eld. We, furthermore, study the evolution of entanglement by de ning and
computing the concurrency.