Russian Microelectronics
Tight-Binding Approximation for a Double-Quantum-Dot Charge Qubit in an Optically Controlled Photonic Molecular Structure
A. V. Tsukanov, И. Ю. Катеев
Abstract
Abstract This paper considers the transition from the coordinate representation of the Hamiltonian of a charge qubit in a single-electron double quantum dot to the projection representation in the tight-binding approximation. It is shown that this representation allows one to identify the parameters (energy levels, transition frequencies, and Rabi frequencies) obtained by numerically solving the stationary Schrödinger equation for a specific quantum dot. Similarly, solutions of Maxwell’s equations for the photonic molecule controlling the qubit state are used to obtain its Hamiltonian in the tight-binding approximation.