Interaction of an array of single-electron quantum dots with a microcavity field with allowance for Coulomb correlations

Abstract

We consider an ordered array of semiconductor singleelectron quantum dots located in the antinode of a mode of a microcavity based on a two-dimensional photonic crystal. The influence of Coulomb effects on the energy exchange between quantum dots and the mode is studied in arrays for different numbers of dots. The stability of resonant electron – photon dynamics is analysed as a function of technological deviations of the dot parameters caused by the imperfection of the manufacturing procedure. Using the data of numerical simulation of the spectroscopic response of the system, criteria are formulated for using such a structure as a detector of localised charges. The parameters of the photonic crystal are chosen, which make it possible to implement the proposed measurement scheme.

Optical measurement of a quantum dot state in a microdisk by a Stark transducer

“…By alternating the QDs with the p x -and p y -orbitals, one can significantly weaken the Förster energy transfer between the QDs and neglect the non-diagonal components of the Hamiltonian equation ( 4). The results obtained earlier for the linear sensor structure indicate a monotonic decrease in contrast with a growth of N associated with a gradual decrease in the influence of the electrons in the measured QDs on the remote QDs in the chain, and hence on photon transport through the MR [17]. A consequence of this is the restoration of the polariton Tavis-Cummings spectrum.…”

“…The fundamental modes have a much lower quality factor compared to WGMs so their use is possible when developing devices that do not require a high quality factor of MRs. In [17], a procedure for detecting an electron located in a QD using a linear array of QDs placed in a defective region of a photonic crystal was proposed. It was shown that for the effective operation of the detector it is necessary that the Rabi frequency of the energy exchange between each QD in the array and the defect mode be the same.…”

“…In this case, the electric field should change slightly inside the array volume. Following [17], we define the antinode area S of the mode as the area of the region at the boundaries of which the electric field decreases by half compared to the maximum value. Calculations show that S is 10.5 µm 2 at m = 15.…”

“…The spatial dependence of the field amplitude is largely determined by the type and the shape of the MR itself. Previously, we studied a linear structure based on a two-dimensional photonic crystal with a lattice defect of Bragg holes (MR) [17], in which a QD chain is placed. Here, we study the transport properties of a microdisk structure, where an array of QDs is located either near the disk side surface in the WGM antinode or at the MR center in the fundamental mode antinode (see section 2).…”

“…To do this, one should make changes ω c → ω c − iκ and ω k → ω k − iγ k in Hamiltonian equation ( 4). The expression for the population of the MR mode coupling to the QD array has the form [17]:…”