The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator

Gerald Mugaya Lisamadi; Boniface Otieno Ndinya; Joseph Akeyo Omolo

doi:doi:10.11648/j.ajmp.20170603.11

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The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator

Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo

Published in American Journal of Modern Physics (Volume 6, Issue 3)

Received: 29 March 2017 Accepted: 10 April 2017 Published: 8 May 2017

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Abstract

We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.

Published in	American Journal of Modern Physics (Volume 6, Issue 3)
DOI	10.11648/j.ajmp.20170603.11
Page(s)	37-42
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), 2017. Published by Science Publishing Group

Keywords

Optical Parametric Oscillator, Bell State Vectors, Reduced Density Matrices, Entanglement

References

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[7]	Villar S. and Cassemiro N. (2006). Entanglement in the above-threshold optical parametric oscillator. http://arxiv. org/pdf/quant-ph/0610208. accessed on 2/2/2015.
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[9]	Shahrokhshahi R. and Pfister O. (2012). Large-scale multipartite entanglement in the quantum optical frequency comb of a depleted-pump optical parametric oscillator. http://arxiv. org/pdf/ 1110. 6450. accessed on 12/6/2015.
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Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. (2017). The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. American Journal of Modern Physics, 6(3), 37-42. https://doi.org/10.11648/j.ajmp.20170603.11

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ACS Style

Gerald Mugaya Lisamadi; Boniface Otieno Ndinya; Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am. J. Mod. Phys. 2017, 6(3), 37-42. doi: 10.11648/j.ajmp.20170603.11

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AMA Style

Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am J Mod Phys. 2017;6(3):37-42. doi: 10.11648/j.ajmp.20170603.11

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@article{10.11648/j.ajmp.20170603.11,
  author = {Gerald Mugaya Lisamadi and Boniface Otieno Ndinya and Joseph Akeyo Omolo},
  title = {The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {3},
  pages = {37-42},
  doi = {10.11648/j.ajmp.20170603.11},
  url = {https://doi.org/10.11648/j.ajmp.20170603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170603.11},
  abstract = {We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.},
 year = {2017}
}

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TY  - JOUR
T1  - The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator
AU  - Gerald Mugaya Lisamadi
AU  - Boniface Otieno Ndinya
AU  - Joseph Akeyo Omolo
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Author Information

Gerald Mugaya Lisamadi

Department of Physics and Materials Science, Maseno University, Maseno, Kenya
Boniface Otieno Ndinya

Department of Physics, Masinde Muliro University of Science and Technology, Kakamega, Kenya
Joseph Akeyo Omolo

Department of Physics and Materials Science, Maseno University, Maseno, Kenya

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APA Style

Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. (2017). The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. American Journal of Modern Physics, 6(3), 37-42. https://doi.org/10.11648/j.ajmp.20170603.11

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ACS Style

Gerald Mugaya Lisamadi; Boniface Otieno Ndinya; Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am. J. Mod. Phys. 2017, 6(3), 37-42. doi: 10.11648/j.ajmp.20170603.11

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AMA Style

Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am J Mod Phys. 2017;6(3):37-42. doi: 10.11648/j.ajmp.20170603.11

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@article{10.11648/j.ajmp.20170603.11,
  author = {Gerald Mugaya Lisamadi and Boniface Otieno Ndinya and Joseph Akeyo Omolo},
  title = {The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {3},
  pages = {37-42},
  doi = {10.11648/j.ajmp.20170603.11},
  url = {https://doi.org/10.11648/j.ajmp.20170603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170603.11},
  abstract = {We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator
AU  - Gerald Mugaya Lisamadi
AU  - Boniface Otieno Ndinya
AU  - Joseph Akeyo Omolo
Y1  - 2017/05/08
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170603.11
DO  - 10.11648/j.ajmp.20170603.11
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 37
EP  - 42
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170603.11
AB  - We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.
VL  - 6
IS  - 3
ER  -

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