Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers

In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is constructed from the optical parametric oscillator based on the three concurrent χ(2) nonlinearities. We give a complete treatment for this operator including the symmetric and asymmetric nonlinear...

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Main Authors:	El-Orany, Faisal A.A, Messikh, Azeddin, Mahmoud Ahmed, Gharib Subhi, Wahiddin, Mohamed Ridza
Format:	Article
Language:	English
Published:	Elsevier 2010
Subjects:	T10.5 Communication of technical information
Online Access:	http://irep.iium.edu.my/13949/ http://irep.iium.edu.my/13949/ http://irep.iium.edu.my/13949/1/Quantum_properties_of_the_three-mode_squeezed_operator-_triply_concurrent.pdf

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spelling	iium-139492012-04-19T01:59:07Z http://irep.iium.edu.my/13949/ Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers El-Orany, Faisal A.A Messikh, Azeddin Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza T10.5 Communication of technical information In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is constructed from the optical parametric oscillator based on the three concurrent χ(2) nonlinearities. We give a complete treatment for this operator including the symmetric and asymmetric nonlinearity cases. The action of the operator on the number and coherent states is studied in the framework of squeezing, secondorder correlation function, Cauchy–Schwartz inequality and single-mode quasiprobability function. The nonclassical effects are remarkable in all these quantities. We show that the nonclassical effects generated by the asymmetric case–for certain values of the system parameters–are greater than those of the symmetric one. This reflects the important role for the asymmetry in the system. Moreover, the system can generate particular types of the superposition states. Elsevier 2010-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13949/1/Quantum_properties_of_the_three-mode_squeezed_operator-_triply_concurrent.pdf El-Orany, Faisal A.A and Messikh, Azeddin and Mahmoud Ahmed, Gharib Subhi and Wahiddin, Mohamed Ridza (2010) Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers. Optics Communications, 283 (16). pp. 3158-3167. ISSN 0030-4018 http://www.journals.elsevier.com/optics-communications/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	T10.5 Communication of technical information
spellingShingle	T10.5 Communication of technical information El-Orany, Faisal A.A Messikh, Azeddin Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
description	In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is constructed from the optical parametric oscillator based on the three concurrent χ(2) nonlinearities. We give a complete treatment for this operator including the symmetric and asymmetric nonlinearity cases. The action of the operator on the number and coherent states is studied in the framework of squeezing, secondorder correlation function, Cauchy–Schwartz inequality and single-mode quasiprobability function. The nonclassical effects are remarkable in all these quantities. We show that the nonclassical effects generated by the asymmetric case–for certain values of the system parameters–are greater than those of the symmetric one. This reflects the important role for the asymmetry in the system. Moreover, the system can generate particular types of the superposition states.
format	Article
author	El-Orany, Faisal A.A Messikh, Azeddin Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza
author_facet	El-Orany, Faisal A.A Messikh, Azeddin Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza
author_sort	El-Orany, Faisal A.A
title	Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
title_short	Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
title_full	Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
title_fullStr	Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
title_full_unstemmed	Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
title_sort	quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers
publisher	Elsevier
publishDate	2010
url	http://irep.iium.edu.my/13949/ http://irep.iium.edu.my/13949/ http://irep.iium.edu.my/13949/1/Quantum_properties_of_the_three-mode_squeezed_operator-_triply_concurrent.pdf
first_indexed	2023-09-18T20:23:08Z
last_indexed	2023-09-18T20:23:08Z
_version_	1777408240289579008

Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers

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