Principle of measuring the electron population of a quantum dot using a single-photon transistor based on an array of quantum dots

The scheme of a single-photon transistor formed by an array of semiconductor single-electron quantum dots in an optical resonator is considered. The spectral response of such a transistor depends on the Coulomb interaction of the electrons of the array with the electron at the measured quantum dot. An approximate analytical expression is obtained for the response function of a transistor with an arbitrary number of quantum dots. Using a onedimensional array (chain) as an example, the dependences of the transistor response on the chain period, on the distance to the measured quantum dot, and on the degree of compensation for Coulomb effects are analysed. It is shown that the electron – photon dynamics of the transistor is substantially affected by the Förster effect, the suppression of which by alternating quantum dots with different symmetry of the excited state significantly increases the measurement accuracy.