Estimation of photonic multipolar coupling ranges among quantum dots on the basis of time–energy uncertainty

Abstract

We give a real use of the time–energy uncertainty principle for nanostructure circuit design consideration. The range of virtual as well as real photons mediating interactions among nanostructures is estimated as the product of the photon lifetime and its velocity, as in the meson exchange model for nucleon. This gives a new vista for near field interactions of electric nature in a solid, especially for the nonradiative internal energy transfer, which may be called the resonance dynamic multipole–multipole interaction (RDMMI). The length of the transition dipole is deduced from the 0.3 meV fine structure in our microphotoluminescence spectra of an individual coupled GaAs asymmetric quantum dots. Various multipoles and their potentials are estimated employing this dipole length. Then the ranges and lifetimes of the RDMMI are derived and plotted, together with the spatiotemporal consideration and the provisional structure of quantum circuits.