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Theoretical investigation of the transient regime of electromagnetically induced transparency in spherical quantum dot with on-center hydrogen impurity

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Abstract

The transient evolution of the susceptibility of the spherical quantum dot with an on-center hydrogen impurity, interacting with the continuous wave lasers, with respect to the probe field is studied numerically and analytically by solving optical Bloch equations. The influence of the control Rabi frequency, dephasing rates and laser detunings is discussed. The damped oscillatory behaviour is observed, as well as the amplification of the probe laser light before the stationary regime of the electromagnetically induced transparency is achieved.

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References

  • Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1972)

    MATH  Google Scholar 

  • Adachi, S.: GaAs, AlAs, Al\(_x\)Ga\(_{1-x}\)As: material parameters for use in research and device applications. J. Appl. Phys. 58, R1–R29 (1985)

    Article  ADS  Google Scholar 

  • Asadpour, S.H., Soleimani, H.R.: Phase control of transient optical properties of quantum-dot nanostructure via terahertz signal radiation. Chin. Phys. Lett. 31, 114207 (2014)

    Article  Google Scholar 

  • Baur, S., Tiarks, D., Rempe, G., Durr, S.: Single-photon switch based on Rydberg blockade. Phys. Rev. Lett. 112, 073901 (2014)

    Article  ADS  Google Scholar 

  • Boller K-J, K.-J., Imamoǧlu, A., Harris, S.E.: Observation of electromagnetically induced transparency. Phys. Rev. Lett. 66, 2593–2596 (1991)

    Article  ADS  Google Scholar 

  • Budker, D., Kimball, D.F., Rochester, S.M., Yashchuk, V.V.: Nonlinear magneto-optics and reduced group velocity of light in atomic vapor with slow ground state relaxation. Phys. Rev. Lett. 83, 1767–1770 (1999)

    Article  ADS  Google Scholar 

  • Feldtmann, T., Schneebeli, L., Kira, M., Koch, S.W.: Quantum theory of light emission from a semiconductor quantum dot. Phys. Rev. B 73, 155319 (2006)

    Article  ADS  Google Scholar 

  • Fleischhauer, M., Imamoǧlu, A., Marangos, J.P.: Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633–673 (2005)

    Article  ADS  Google Scholar 

  • Flugge, S.: Practical Quantum Mechanics, vol. 1, 1st edn. Springer, Berlin (1971)

    Book  Google Scholar 

  • Fonoberov, V.A., Balandin, A.A.: Origin of ultraviolet photoluminescence in ZnO quantum dots: confined excitons versus surface-bound impurity exciton complexes. Appl. Phys. Lett. 85, 5971–5973 (2004)

    Article  ADS  Google Scholar 

  • Gorniaczyk, H., Tresp, C., Schmidt, J., Tedder, H., Hofferberth, S.: Single-photon transistor mediated by interstate Rydberg interactions. Phys. Rev. Lett. 113, 053601 (2014)

    Article  ADS  Google Scholar 

  • Greentree, A.D., Smith, T.B., de Echaniz, S.R., Durant, A.V., Marangos, J.P., Segal, D.M., Vaccaro, J.A.: Resonant and off-resonant transients in electromagnetically induced transparency: turn-on and turn-off dynamics. Phys. Rev. A 65, 053802 (2002)

    Article  ADS  Google Scholar 

  • Harris, S.E.: Electromagnetically induced transparency. Phys. Today 50, 36–42 (1997)

    Article  Google Scholar 

  • Jafarzadeh, H., Eslami-Majd, A., Asadpour, S.H., Rahimpour Soleimani, H.: Transient absorption-dispersion properties of four-level atomic system via elliptically polarized probe light and magnetic field. Optik 125, 1558–1561 (2014)

    Article  ADS  Google Scholar 

  • Kaer Nielsen, P., Thyrrestrup, H., Mørk, J., Tromborg, B.: Numerical investigation of electromagnetically induced transparency in a quantum dot structure. Opt. Express 15, 6396–6408 (2007)

    Article  ADS  Google Scholar 

  • Li, Y., Xiao, M.: Transient properties of an electromagnetically induced transparency in three-level atoms. Opt. Lett. 20, 1489–1491 (1995)

    Article  ADS  Google Scholar 

  • Lien, N.V., Trinh, N.M.: Electric field effects on the binding energy of hydrogen impurities in quantum dots with parabolic confinement. J. Phys. Condens. Matter 13, 2563–2571 (2001)

    Article  ADS  Google Scholar 

  • Lukin, M.D.: Colloquium: trapping and manipulating photon states in atomic ensembles. Rev. Mod. Phys. 75, 457–472 (2003)

    Article  ADS  Google Scholar 

  • Marangos, J.P.: Electromagnetically induced transparency. J. Mod. Opt. 45, 471–503 (1998)

    Article  ADS  Google Scholar 

  • Meinert, F., Basler, C., Lambrecht, A., Welte, S., Helm, H.: Quantitative analysis of the transient response of the refractive index to conditions of electromagnetically induced transparency. Phys. Rev. A 85, 013820 (2012)

    Article  ADS  Google Scholar 

  • Pavlović, V., Stevanović, Lj: Electromagnetically induced transparency in a spherical quantum dot with hydrogenic impurity in the external magnetic field. Superlattices Microstruct. 92, 10–23 (2016)

    Article  ADS  Google Scholar 

  • Sahrai, M., Mahmoudi, M., Kheradmand, R.: The impact of the relative phase on the transient optical properties of a four-level EIT medium. Phys. Lett. A 367, 408–414 (2007)

    Article  ADS  Google Scholar 

  • Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

    Book  Google Scholar 

  • Shen, J.Q.: Transient evolutional behaviours of double-control electromagnetically induced transparency. New J. Phys. 9, 374 (2007)

    Article  ADS  Google Scholar 

  • Stevanović, Lj.: Oscillator strengths of the transitions in a spherically confined hydrogen atom. J. Phys. B Atom. Mol. Opt. Phys. 43, 165002 (2010)

    Article  ADS  Google Scholar 

  • Valente, P., Failache, H., Lezama, A.: Comparative study of the transient evolution of Hanle electromagnetically induced transparency and absorption resonances. Phys. Rev. A 65, 023814 (2002)

    Article  ADS  Google Scholar 

  • Vitali, D., Fortunato, M., Tombesi, P.: Complete quantum teleportation with a Kerr nonlinearity. Phys. Rev. Lett. 85, 445–448 (2000)

    Article  ADS  Google Scholar 

  • Walter, W.: Ordinary Differential Equations. Springer, New York (1998)

    Book  Google Scholar 

Download references

Acknowledgements

We acknowledge the Ministry of Science, Education and Technological Development of the Republic of Serbia for funding this research under the Projects OI171025, OI171028 and III45010.

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Correspondence to Nikola Filipović.

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This article is part of the Topical Collection on Advanced Photonics Meets Machine Learning.

Guest edited by Goran Gligoric, Jelena Radovanovic and Aleksandra Maluckov.

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Stevanović, L., Filipović, N., Pavlović, V. et al. Theoretical investigation of the transient regime of electromagnetically induced transparency in spherical quantum dot with on-center hydrogen impurity. Opt Quant Electron 52, 172 (2020). https://doi.org/10.1007/s11082-020-02281-0

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