Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots

Vladimir Rumyantsev; Stanislav Fedorov; Kostyantyn Gumennyk; Alexey Rybalka

doi:doi:10.11648/j.ijhep.20220901.13

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Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots

Vladimir Rumyantsev, Stanislav Fedorov, Kostyantyn Gumennyk, Alexey Rybalka

Published in International Journal of High Energy Physics (Volume 9, Issue 1)

Received: 7 December 2021 Accepted: 27 December 2021 Published: 28 January 2022

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Abstract

Numerical model for a defect-containing lattice of microcavities with embedded ultracold atomic clusters (quantum dots) is developed. It is assumed that certain fractions of quantum dots are absent, which leads to transformation of polariton spectrum of the overall structure. Using the virtual crystal approximation based on the diagonalization of the averaged Hamiltonian of the system, dispersion relations for polariton modes are derived. The group velocity of polariton excitations in the structure under study is calculated depending on the structure defects concentrations and elastic strain. It is shown that, as a result of elastic strain of the system and presence of structural defects under study, it is possible to achieve necessary changes in its energy structure (and, therefore, optical properties) determined by the rearrangement of the polariton spectrum. This results in formation of slow light mode that can be efficiently controlled by the externally applied strain. The obtained results demonstrate the possibility of controlling the group velocity of excitations, which is responsible for signaling rates in optical integrated circuits of optoelectronic devices. Numerical simulations performed on the basis of the constructed model contribute to modeling of the new class of functional porous materials, namely the so-called polaritonic systems (microcavity arrays with embedded quantum dots) where controlling of propagation of electromagnetic excitations is accomplished by an appropriate introduction of structural defects and elastic deformation.

Published in	International Journal of High Energy Physics (Volume 9, Issue 1)
DOI	10.11648/j.ijhep.20220901.13
Page(s)	13-19
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

One-dimensional Microcavity Lattice, Quantum Dots, Electromagnetic Excitations, Structure Defects, Uniform Elastic Deformation, Group Velocity of Polaritonic Excitation

References

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[7]	Hartmann, M. J., Brandão, F. G. S. L., & Plenio, M. B. (2006). Strongly interacting polaritons in coupled arrays of cavities. Nature Physics, 2, 849–855. doi: 10.1038/nphys462.
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[12]	Rumyantsev, V. V., Fedorov, S. A., Gumennyk, K. V., Proskurenko, M. V. (2014). Peculiarities of propagation of electromagnetic excitation through a nonideal gyrotropic photonic crystal. Physica B: Condensed Matter, 442 (1), 57-59. doi: 10.1016/j.physb.2014.02.023.
[13]	Rumyantsev, V., Fedorov, S., Gumennyk, K., M. Sychanova & Kavokin, A. (2014). Exciton-like electromagnetic excitations in non-ideal microcavity supercrystals. Scientific Reports, 4: 6945. doi: 10.1038/srep06945.
[14]	Rumyantsev, V., Fedorov, S., Gumennyk, K., Sychanova, M., & Kavokin, A. (2016). Polaritons in a nonideal periodic array of microcavities. Superlattices and Microstructures, 89, 409-418. doi: 10.1016/j.spmi.2015.11.029.
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APA Style

Vladimir Rumyantsev, Stanislav Fedorov, Kostyantyn Gumennyk, Alexey Rybalka. (2022). Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. International Journal of High Energy Physics, 9(1), 13-19. https://doi.org/10.11648/j.ijhep.20220901.13

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ACS Style

Vladimir Rumyantsev; Stanislav Fedorov; Kostyantyn Gumennyk; Alexey Rybalka. Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. Int. J. High Energy Phys. 2022, 9(1), 13-19. doi: 10.11648/j.ijhep.20220901.13

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AMA Style

Vladimir Rumyantsev, Stanislav Fedorov, Kostyantyn Gumennyk, Alexey Rybalka. Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. Int J High Energy Phys. 2022;9(1):13-19. doi: 10.11648/j.ijhep.20220901.13

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@article{10.11648/j.ijhep.20220901.13,
  author = {Vladimir Rumyantsev and Stanislav Fedorov and Kostyantyn Gumennyk and Alexey Rybalka},
  title = {Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots},
  journal = {International Journal of High Energy Physics},
  volume = {9},
  number = {1},
  pages = {13-19},
  doi = {10.11648/j.ijhep.20220901.13},
  url = {https://doi.org/10.11648/j.ijhep.20220901.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20220901.13},
  abstract = {Numerical model for a defect-containing lattice of microcavities with embedded ultracold atomic clusters (quantum dots) is developed. It is assumed that certain fractions of quantum dots are absent, which leads to transformation of polariton spectrum of the overall structure. Using the virtual crystal approximation based on the diagonalization of the averaged Hamiltonian of the system, dispersion relations for polariton modes are derived. The group velocity of polariton excitations in the structure under study is calculated depending on the structure defects concentrations and elastic strain. It is shown that, as a result of elastic strain of the system and presence of structural defects under study, it is possible to achieve necessary changes in its energy structure (and, therefore, optical properties) determined by the rearrangement of the polariton spectrum. This results in formation of slow light mode that can be efficiently controlled by the externally applied strain. The obtained results demonstrate the possibility of controlling the group velocity of excitations, which is responsible for signaling rates in optical integrated circuits of optoelectronic devices. Numerical simulations performed on the basis of the constructed model contribute to modeling of the new class of functional porous materials, namely the so-called polaritonic systems (microcavity arrays with embedded quantum dots) where controlling of propagation of electromagnetic excitations is accomplished by an appropriate introduction of structural defects and elastic deformation.},
 year = {2022}
}

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TY  - JOUR
T1  - Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots
AU  - Vladimir Rumyantsev
AU  - Stanislav Fedorov
AU  - Kostyantyn Gumennyk
AU  - Alexey Rybalka
Y1  - 2022/01/28
PY  - 2022
N1  - https://doi.org/10.11648/j.ijhep.20220901.13
DO  - 10.11648/j.ijhep.20220901.13
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 13
EP  - 19
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20220901.13
AB  - Numerical model for a defect-containing lattice of microcavities with embedded ultracold atomic clusters (quantum dots) is developed. It is assumed that certain fractions of quantum dots are absent, which leads to transformation of polariton spectrum of the overall structure. Using the virtual crystal approximation based on the diagonalization of the averaged Hamiltonian of the system, dispersion relations for polariton modes are derived. The group velocity of polariton excitations in the structure under study is calculated depending on the structure defects concentrations and elastic strain. It is shown that, as a result of elastic strain of the system and presence of structural defects under study, it is possible to achieve necessary changes in its energy structure (and, therefore, optical properties) determined by the rearrangement of the polariton spectrum. This results in formation of slow light mode that can be efficiently controlled by the externally applied strain. The obtained results demonstrate the possibility of controlling the group velocity of excitations, which is responsible for signaling rates in optical integrated circuits of optoelectronic devices. Numerical simulations performed on the basis of the constructed model contribute to modeling of the new class of functional porous materials, namely the so-called polaritonic systems (microcavity arrays with embedded quantum dots) where controlling of propagation of electromagnetic excitations is accomplished by an appropriate introduction of structural defects and elastic deformation.
VL  - 9
IS  - 1
ER  -

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Author Information

Vladimir Rumyantsev

Department of Theory of Complex Systems Dynamic Properties, Donetsk Institute for Physics & Engineering Named After А. А. Galkin, Donetsk, Ukraine
Stanislav Fedorov

Department of Theory of Complex Systems Dynamic Properties, Donetsk Institute for Physics & Engineering Named After А. А. Galkin, Donetsk, Ukraine
Kostyantyn Gumennyk

Department of Theory of Complex Systems Dynamic Properties, Donetsk Institute for Physics & Engineering Named After А. А. Galkin, Donetsk, Ukraine
Alexey Rybalka

Department of Theory of Complex Systems Dynamic Properties, Donetsk Institute for Physics & Engineering Named After А. А. Galkin, Donetsk, Ukraine

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APA Style

Vladimir Rumyantsev, Stanislav Fedorov, Kostyantyn Gumennyk, Alexey Rybalka. (2022). Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. International Journal of High Energy Physics, 9(1), 13-19. https://doi.org/10.11648/j.ijhep.20220901.13

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ACS Style

Vladimir Rumyantsev; Stanislav Fedorov; Kostyantyn Gumennyk; Alexey Rybalka. Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. Int. J. High Energy Phys. 2022, 9(1), 13-19. doi: 10.11648/j.ijhep.20220901.13

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AMA Style

Vladimir Rumyantsev, Stanislav Fedorov, Kostyantyn Gumennyk, Alexey Rybalka. Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots. Int J High Energy Phys. 2022;9(1):13-19. doi: 10.11648/j.ijhep.20220901.13

Copy | Download

@article{10.11648/j.ijhep.20220901.13,
  author = {Vladimir Rumyantsev and Stanislav Fedorov and Kostyantyn Gumennyk and Alexey Rybalka},
  title = {Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots},
  journal = {International Journal of High Energy Physics},
  volume = {9},
  number = {1},
  pages = {13-19},
  doi = {10.11648/j.ijhep.20220901.13},
  url = {https://doi.org/10.11648/j.ijhep.20220901.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20220901.13},
  abstract = {Numerical model for a defect-containing lattice of microcavities with embedded ultracold atomic clusters (quantum dots) is developed. It is assumed that certain fractions of quantum dots are absent, which leads to transformation of polariton spectrum of the overall structure. Using the virtual crystal approximation based on the diagonalization of the averaged Hamiltonian of the system, dispersion relations for polariton modes are derived. The group velocity of polariton excitations in the structure under study is calculated depending on the structure defects concentrations and elastic strain. It is shown that, as a result of elastic strain of the system and presence of structural defects under study, it is possible to achieve necessary changes in its energy structure (and, therefore, optical properties) determined by the rearrangement of the polariton spectrum. This results in formation of slow light mode that can be efficiently controlled by the externally applied strain. The obtained results demonstrate the possibility of controlling the group velocity of excitations, which is responsible for signaling rates in optical integrated circuits of optoelectronic devices. Numerical simulations performed on the basis of the constructed model contribute to modeling of the new class of functional porous materials, namely the so-called polaritonic systems (microcavity arrays with embedded quantum dots) where controlling of propagation of electromagnetic excitations is accomplished by an appropriate introduction of structural defects and elastic deformation.},
 year = {2022}
}

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TY  - JOUR
T1  - Polaritonic Crystal Formed by a Tunnel Connected Array of Microcavities Containing Ensembles of Quantum Dots
AU  - Vladimir Rumyantsev
AU  - Stanislav Fedorov
AU  - Kostyantyn Gumennyk
AU  - Alexey Rybalka
Y1  - 2022/01/28
PY  - 2022
N1  - https://doi.org/10.11648/j.ijhep.20220901.13
DO  - 10.11648/j.ijhep.20220901.13
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 13
EP  - 19
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20220901.13
AB  - Numerical model for a defect-containing lattice of microcavities with embedded ultracold atomic clusters (quantum dots) is developed. It is assumed that certain fractions of quantum dots are absent, which leads to transformation of polariton spectrum of the overall structure. Using the virtual crystal approximation based on the diagonalization of the averaged Hamiltonian of the system, dispersion relations for polariton modes are derived. The group velocity of polariton excitations in the structure under study is calculated depending on the structure defects concentrations and elastic strain. It is shown that, as a result of elastic strain of the system and presence of structural defects under study, it is possible to achieve necessary changes in its energy structure (and, therefore, optical properties) determined by the rearrangement of the polariton spectrum. This results in formation of slow light mode that can be efficiently controlled by the externally applied strain. The obtained results demonstrate the possibility of controlling the group velocity of excitations, which is responsible for signaling rates in optical integrated circuits of optoelectronic devices. Numerical simulations performed on the basis of the constructed model contribute to modeling of the new class of functional porous materials, namely the so-called polaritonic systems (microcavity arrays with embedded quantum dots) where controlling of propagation of electromagnetic excitations is accomplished by an appropriate introduction of structural defects and elastic deformation.
VL  - 9
IS  - 1
ER  -

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