Intraparticle and interparticle radiative coupling in quantum dot arrays: influence of a magnetic field

Abstract

Using a self-consistent field approach without second quantization we investigate intraparticle and interparticle radiative effects of a quantum dot array in the presence of a magnetic field. A transverse self-action approach is applied to calculate the local electromagnetic field in a single quantum dot. From this result the self-dressed polarizability including all intraparticle radiative effects, i.e., single-particle shift and radiative decay rate, is constructed. The array is described as a collection of self-dressed dipole sources interacting through near-field electromagnetic scattering. A general resonance condition is obtained, and the solutions are found to contain both intraparticle and interparticle corrections to the resonance frequencies. The dependence on magnetic fields of the shifts is analyzed, and it is shown that the collective shift will dominate the response except in the case of very large particle separation, as expected. Numerical calculations are presented for some typical cases.