A density-matrix approach is developed to provide a theoretical description of the intensity, angular distribution, and polarization of superradiative emission from an ensemble of many-electron atomic systems. The many-electron atomic systems are described as cooperatively interacting by means of forces that can be long range. Particular emphasis is given to the coherent excitation of the collective atomic-ensemble states, which may be produced by incident laser radiation. The initial excitation and spontaneous emission processes may be described as independent. Both frequency-domain and time-domain formulations of the density-matrix approach are developed. The collective atomic-ensemble states are specified in a detailed hyperfine representation, corresponding to successively coupling the individual hyperfine angular momenta F pertaining to the many-electron atoms. A less detailed fine-structure angular-momentum representation may also be used. In the density-operator approach, account can be taken of the coherent excitation of a particular subspace of the initial atomic-ensemble states. For a comprehensive and unified development of time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations, a reduced-density-matrix (quantum-open-systems) approach is introduced. The non-equilibrium atomic-ensemble-state kinetics and the homogeneous spectral-line shapes can thereby be systematically and self-consistently determined. The collective atomic-ensemble states may be obtained using a variety of different methods. These states can be determined using a dressed-state approach, in which the required states are calculated in the presence of an electromagnetic field.
Published in | World Journal of Applied Physics (Volume 5, Issue 1) |
DOI | 10.11648/j.wjap.20200501.11 |
Page(s) | 1-14 |
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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. |
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Copyright © The Author(s), 2020. Published by Science Publishing Group |
Superradiance, Atomic Ensembles, Density Matrix, Coherence
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APA Style
Verne Louis Jacobs. (2020). Angular Distribution and Polarization of Superradiant Emission from Atomic Ensembles. World Journal of Applied Physics, 5(1), 1-14. https://doi.org/10.11648/j.wjap.20200501.11
ACS Style
Verne Louis Jacobs. Angular Distribution and Polarization of Superradiant Emission from Atomic Ensembles. World J. Appl. Phys. 2020, 5(1), 1-14. doi: 10.11648/j.wjap.20200501.11
AMA Style
Verne Louis Jacobs. Angular Distribution and Polarization of Superradiant Emission from Atomic Ensembles. World J Appl Phys. 2020;5(1):1-14. doi: 10.11648/j.wjap.20200501.11
@article{10.11648/j.wjap.20200501.11, author = {Verne Louis Jacobs}, title = {Angular Distribution and Polarization of Superradiant Emission from Atomic Ensembles}, journal = {World Journal of Applied Physics}, volume = {5}, number = {1}, pages = {1-14}, doi = {10.11648/j.wjap.20200501.11}, url = {https://doi.org/10.11648/j.wjap.20200501.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20200501.11}, abstract = {A density-matrix approach is developed to provide a theoretical description of the intensity, angular distribution, and polarization of superradiative emission from an ensemble of many-electron atomic systems. The many-electron atomic systems are described as cooperatively interacting by means of forces that can be long range. Particular emphasis is given to the coherent excitation of the collective atomic-ensemble states, which may be produced by incident laser radiation. The initial excitation and spontaneous emission processes may be described as independent. Both frequency-domain and time-domain formulations of the density-matrix approach are developed. The collective atomic-ensemble states are specified in a detailed hyperfine representation, corresponding to successively coupling the individual hyperfine angular momenta F pertaining to the many-electron atoms. A less detailed fine-structure angular-momentum representation may also be used. In the density-operator approach, account can be taken of the coherent excitation of a particular subspace of the initial atomic-ensemble states. For a comprehensive and unified development of time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations, a reduced-density-matrix (quantum-open-systems) approach is introduced. The non-equilibrium atomic-ensemble-state kinetics and the homogeneous spectral-line shapes can thereby be systematically and self-consistently determined. The collective atomic-ensemble states may be obtained using a variety of different methods. These states can be determined using a dressed-state approach, in which the required states are calculated in the presence of an electromagnetic field.}, year = {2020} }
TY - JOUR T1 - Angular Distribution and Polarization of Superradiant Emission from Atomic Ensembles AU - Verne Louis Jacobs Y1 - 2020/04/01 PY - 2020 N1 - https://doi.org/10.11648/j.wjap.20200501.11 DO - 10.11648/j.wjap.20200501.11 T2 - World Journal of Applied Physics JF - World Journal of Applied Physics JO - World Journal of Applied Physics SP - 1 EP - 14 PB - Science Publishing Group SN - 2637-6008 UR - https://doi.org/10.11648/j.wjap.20200501.11 AB - A density-matrix approach is developed to provide a theoretical description of the intensity, angular distribution, and polarization of superradiative emission from an ensemble of many-electron atomic systems. The many-electron atomic systems are described as cooperatively interacting by means of forces that can be long range. Particular emphasis is given to the coherent excitation of the collective atomic-ensemble states, which may be produced by incident laser radiation. The initial excitation and spontaneous emission processes may be described as independent. Both frequency-domain and time-domain formulations of the density-matrix approach are developed. The collective atomic-ensemble states are specified in a detailed hyperfine representation, corresponding to successively coupling the individual hyperfine angular momenta F pertaining to the many-electron atoms. A less detailed fine-structure angular-momentum representation may also be used. In the density-operator approach, account can be taken of the coherent excitation of a particular subspace of the initial atomic-ensemble states. For a comprehensive and unified development of time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations, a reduced-density-matrix (quantum-open-systems) approach is introduced. The non-equilibrium atomic-ensemble-state kinetics and the homogeneous spectral-line shapes can thereby be systematically and self-consistently determined. The collective atomic-ensemble states may be obtained using a variety of different methods. These states can be determined using a dressed-state approach, in which the required states are calculated in the presence of an electromagnetic field. VL - 5 IS - 1 ER -