• Long-lived quantum coherence in a two-level semiconductor quantum dot

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      https://www.ias.ac.in/article/fulltext/pram/094/0065

    • Keywords

       

      Semiconductor; quantum dot; long-lived quantum coherence

    • Abstract

       

      In this paper, we present an analytical solution for the system of two-level semiconductor quantum dot. In addition, we discuss the rates of the photon radiative and phonon radiationless transitions fromthe excited state ($\alpha_{12}, \alpha_{21}$), the rate of processes of pure dephasing ($\gamma$ ), the detuning parameter ($\Delta$) and the Rabi frequency ($\Omega$), on the atomic occupation probabilities ($\rho_{11}(t)$ and $\rho_{22}(t)$), the atomic population inversion ($\rho_{z}(t)$), the purity ($P_{A}(t)$), the von Neumann entropy ($S(t)$) and the information entropies ($H(\sigma_{x}), H(\sigma_{y})$ and $H(\sigma_{z})$). We clearly observe the emergence of long-lived quantum coherence phenomenon in all the curves for some special cases of $\alpha_{12}, \alpha_{21}, \gamma, \Delta$ and $\Omega$. Besides, the decay phenomenon is quite evident in the purity curves, which can be simply controlled by changing the values of $\alpha_{12}, \alpha_{21}$ and $\gamma$.

    • Author Affiliations

       

      D A M ABO-KAHLA1 2

      1. 1Department of Mathematics, Faculty of Science, Taibah University, Medina, Kingdom of Saudi Arabia
      2. 2Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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