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Abstract <p>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.</p>

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Tight-Binding Approximation for a Double-Quantum-Dot Charge Qubit in an Optically Controlled Photonic Molecular Structure

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • A. V. Tsukanov,
  • I. Yu. Kateev

摘要

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.