Interaction of Quantum Dot Molecules with Multi-Mode Radiation Fields

نویسندگان
doi
چکیده

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.