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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2010
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| Online Access: | http://irep.iium.edu.my/13949/1/Quantum_properties_of_the_three-mode_squeezed_operator-_triply_concurrent.pdf |
| _version_ | 1825645451201740800 |
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| author | El-Orany, Faisal A.A Messikh Azeddine, Azeddine Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza |
| author_facet | El-Orany, Faisal A.A Messikh Azeddine, Azeddine Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza |
| author_sort | El-Orany, Faisal A.A |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T22:47:55Z |
| format | Article |
| id | oai:generic.eprints.org:13949 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:47:55Z |
| publishDate | 2010 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:generic.eprints.org:139492020-06-30T07:17:32Z http://irep.iium.edu.my/13949/ Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers El-Orany, Faisal A.A Messikh Azeddine, Azeddine 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 Azeddine, Azeddine 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/ |
| spellingShingle | T10.5 Communication of technical information El-Orany, Faisal A.A Messikh Azeddine, Azeddine Mahmoud Ahmed, Gharib Subhi Wahiddin, Mohamed Ridza Quantum properties of the three-mode squeezed operator: triply concurrent parametric amplifiers |
| title | 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_short | 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 |
| topic | T10.5 Communication of technical information |
| url | http://irep.iium.edu.my/13949/1/Quantum_properties_of_the_three-mode_squeezed_operator-_triply_concurrent.pdf |
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