Dynamics of Two-level Atom Interaction with Single-mode Field

Sitotaw Eshete; Yimenu Yeshiwas

doi:doi:10.11648/j.ajea.20190702.14

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Dynamics of Two-level Atom Interaction with Single-mode Field

Sitotaw Eshete, Yimenu Yeshiwas

Published in American Journal of Electromagnetics and Applications (Volume 7, Issue 2)

Received: 21 November 2019 Accepted: 17 December 2019 Published: 27 December 2019

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Abstract

In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.

Published in	American Journal of Electromagnetics and Applications (Volume 7, Issue 2)
DOI	10.11648/j.ajea.20190702.14
Page(s)	34-38
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), 2019. Published by Science Publishing Group

Keywords

Quantum Optics, Cavity Mode, Two-level Atom, Density Operator, Master Equation, Squeezed Vacuum, Power Spectrum

References

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[2]	Jin, S.; Xiao, M. Optical spectra from degenerate optical parametric oscillator with N two-level atoms. Phys. Rev. A 1993, 48, 1473, DOI: https://doi.org/10.1103/PhysRevA.48.1473.
[3]	Eyob A. A Coherently driven two-level atom inside a parametric oscillator. J. Mod. Opt. 2008, 55, pp. 1159-1173, DOI: https://doi.org/10.1080/09500340701624641.
[4]	Zhou, P.; Swain, S. Resonance fluorescence and absorption spectra from two-level atom driven by coherently and stochastic fields. Phys. Rev. A, 1998, 58, 4705, DOI: https://doi.org/10.1103/PhysRevA.58.4705.
[5]	Eyob, A.; Fesseha, K. Interaction of a two-level atom with squeezed light. Opt. Commun. 2007, 271, pp. 154-161, DOI: https://doi.org10.1016/j.optcom.2006.10.016.
[6]	Liu, J.; Li, Z. Y. Interaction of a two-level atom with single mode optical field beyond the rotating wave approximation. Opt. Exp. 2014, 22, pp. 28671-28682, DOI: https://doi.org/10.1364/OE.22.028671.
[7]	Cirac, J. I. Interaction of a two-level atom with a cavity moves in the cavity bad cavity limit. Phys. Rev. A 1992, 46, 4354, DOI: https://doi.org/10.1103/PhysRevA.46.4354.
[8]	Mollow, B. R. Power spectrum of light scattered by two-level systems. Phys. Rev. A 1969, 188, DOI: https://doi.org/10.1103/PhysRevA.188.1969.
[9]	Irish, E. K.; Gea-Banacloche, J.; Martin, I.; Schwab, K. C. Dynamics of two-level system strogly coupled to a high frequency quantum oscillator. Phys. Rev. B 2005, 72, DOI: https://doi.org/10.1103/physRevB.72.195410.
[10]	Kozierowski, M.; Chumakov, S. M.; Mamedov, A. A. Interaction of a system of initially unexcited two-level atoms with a weak cavity field. J. Mod. Opt. 2007, 40, pp. 453-470, DOI: https://doi.org/10.1080/09500349314550461.
[11]	Fesseha, K. Three-level laser dynamics with squeezed light. Phys. Rev. A 2001, 63, 033811, DOI: https://doi.org/10.1103/PhysRevA.63.033811.
[12]	Kimble, H. J.; Mandel, L. Theory of resonance fluorescence light. Phys. Rev. A 1976, 13, 2123, DOI: https://doi.org/10.1103/PhysRevA.13.2123.
[13]	Doherty, A. C.; Parkins, A. S.; Tan, S. M.; Walls, D. F. Motion of a two-level atom in an optical cavity. Phys. Rev. A 1997, 56, 833-844, DOI: https://doi.org/10.1103/PhysRevA.56.833.
[14]	G. J. Milburn, Interaction of a Two-level Atom with Squeezed Light, Optica Acta: International Journal of Optics, 31 1984: 6, 671-679, DOI: 10.1080/10715769900301231.
[15]	Sunil Kumar and C. L. Mehta, Theory of the interaction of a single-mode resonant radiation field with N two-level atoms. Phys. Rev. A 1980, 21, 1573.

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APA Style

Sitotaw Eshete, Yimenu Yeshiwas. (2019). Dynamics of Two-level Atom Interaction with Single-mode Field. American Journal of Electromagnetics and Applications, 7(2), 34-38. https://doi.org/10.11648/j.ajea.20190702.14

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ACS Style

Sitotaw Eshete; Yimenu Yeshiwas. Dynamics of Two-level Atom Interaction with Single-mode Field. Am. J. Electromagn. Appl. 2019, 7(2), 34-38. doi: 10.11648/j.ajea.20190702.14

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AMA Style

Sitotaw Eshete, Yimenu Yeshiwas. Dynamics of Two-level Atom Interaction with Single-mode Field. Am J Electromagn Appl. 2019;7(2):34-38. doi: 10.11648/j.ajea.20190702.14

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@article{10.11648/j.ajea.20190702.14,
  author = {Sitotaw Eshete and Yimenu Yeshiwas},
  title = {Dynamics of Two-level Atom Interaction with Single-mode Field},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {7},
  number = {2},
  pages = {34-38},
  doi = {10.11648/j.ajea.20190702.14},
  url = {https://doi.org/10.11648/j.ajea.20190702.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20190702.14},
  abstract = {In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.},
 year = {2019}
}

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TY  - JOUR
T1  - Dynamics of Two-level Atom Interaction with Single-mode Field
AU  - Sitotaw Eshete
AU  - Yimenu Yeshiwas
Y1  - 2019/12/27
PY  - 2019
N1  - https://doi.org/10.11648/j.ajea.20190702.14
DO  - 10.11648/j.ajea.20190702.14
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 34
EP  - 38
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20190702.14
AB  - In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.
VL  - 7
IS  - 2
ER  -

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Author Information

Sitotaw Eshete

Department of Physics, Faculty of Natural and Computational Sciences, Debre Tabor University, Debre Tabor, Ethiopia
Yimenu Yeshiwas

Department Physics, Debark University, Debark, Ethiopia

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Plain Text BibTeX RIS

APA Style

Sitotaw Eshete, Yimenu Yeshiwas. (2019). Dynamics of Two-level Atom Interaction with Single-mode Field. American Journal of Electromagnetics and Applications, 7(2), 34-38. https://doi.org/10.11648/j.ajea.20190702.14

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ACS Style

Sitotaw Eshete; Yimenu Yeshiwas. Dynamics of Two-level Atom Interaction with Single-mode Field. Am. J. Electromagn. Appl. 2019, 7(2), 34-38. doi: 10.11648/j.ajea.20190702.14

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AMA Style

Sitotaw Eshete, Yimenu Yeshiwas. Dynamics of Two-level Atom Interaction with Single-mode Field. Am J Electromagn Appl. 2019;7(2):34-38. doi: 10.11648/j.ajea.20190702.14

Copy | Download

@article{10.11648/j.ajea.20190702.14,
  author = {Sitotaw Eshete and Yimenu Yeshiwas},
  title = {Dynamics of Two-level Atom Interaction with Single-mode Field},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {7},
  number = {2},
  pages = {34-38},
  doi = {10.11648/j.ajea.20190702.14},
  url = {https://doi.org/10.11648/j.ajea.20190702.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20190702.14},
  abstract = {In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Dynamics of Two-level Atom Interaction with Single-mode Field
AU  - Sitotaw Eshete
AU  - Yimenu Yeshiwas
Y1  - 2019/12/27
PY  - 2019
N1  - https://doi.org/10.11648/j.ajea.20190702.14
DO  - 10.11648/j.ajea.20190702.14
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 34
EP  - 38
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20190702.14
AB  - In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.
VL  - 7
IS  - 2
ER  -

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