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

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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 from the 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 \(\gamma .\)

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Acknowledgements

The author thanks the editor and the reviewer for giving him the chance to revise and improve this paper. The author deeply appreciates the profound comments and the constructive ideas of the reviewer which add a lot to the manuscript.

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  1. Department of Mathematics, Faculty of Science, Taibah University, Medina, Kingdom of Saudi Arabia

    D A M Abo-Kahla

  2. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

    D A M Abo-Kahla

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Abo-Kahla, D.A.M. Long-lived quantum coherence in a two-level semiconductor quantum dot. Pramana - J Phys 94, 65 (2020). https://doi.org/10.1007/s12043-020-1932-y

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