Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator

The Hamiltonian and hence the equation of motion of the field operators of a nondegenerate parametric oscillator (NDPO) under the influence of classical pump are formulated. The coupled operator differential equations involving the signal and idler modes are decoupled at the expense of fourth ord...

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Main Authors: Alam, Mohosin, Mandal, Swapan Kumar, Wahiddin, Mohamed Ridza
Format: Article
Language:English
English
English
Published: Elsevier 2018
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spelling iium-616582018-06-21T02:27:47Z http://irep.iium.edu.my/61658/ Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator Alam, Mohosin Mandal, Swapan Kumar Wahiddin, Mohamed Ridza QA75 Electronic computers. Computer science The Hamiltonian and hence the equation of motion of the field operators of a nondegenerate parametric oscillator (NDPO) under the influence of classical pump are formulated. The coupled operator differential equations involving the signal and idler modes are decoupled at the expense of fourth order differential equations involving the c-numbers. Without using the rotating wave approximation, the analytical solutions of the field operators are obtained. These solutions are approximated up to the second orders in dimensionless coupling constant. We investigate the squeezing, mixed mode squeezing, amplitude-squared squeezing, and the principal squeezing of the thermal and coherent light coupled to the NDPO. By using the input composite number state, we establish that the percentage and the range (interaction time) of squeezing is considerably increased with the increase of the signal photon number. For initial composite number state, the amplitude squared squeezing for Ys quadrature is obtained at the cost of canonically conjugate Zs quadrature. The percentage of amplitude squared squeezing increases significantly with the increase of signal excitation (photon). The so-called normal squeezing and the principal squeezing are also indicated for the NDPO coupled with the initially prepared composite coherent states not in the composite number states. In spite of the shortcomings of the analytical solutions, we obtain squeezing, amplitude squared squeezing and other nonclassical effects which are unavailable under the rotating wave approximation. In order to give the feelings about the analytical results (expressions), we give some symbolic calculations relevant to the possible experimental situations. Elsevier 2018-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/61658/1/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude.pdf application/pdf en http://irep.iium.edu.my/61658/2/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/61658/3/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude_WOS.pdf Alam, Mohosin and Mandal, Swapan Kumar and Wahiddin, Mohamed Ridza (2018) Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator. Optik, 157. pp. 1035-1052. ISSN 0030-4026 https://www.sciencedirect.com/science/article/pii/S0030402617315334?via%3Dihub https://doi.org/10.1016/j.ijleo.2017.11.113
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Alam, Mohosin
Mandal, Swapan Kumar
Wahiddin, Mohamed Ridza
Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
description The Hamiltonian and hence the equation of motion of the field operators of a nondegenerate parametric oscillator (NDPO) under the influence of classical pump are formulated. The coupled operator differential equations involving the signal and idler modes are decoupled at the expense of fourth order differential equations involving the c-numbers. Without using the rotating wave approximation, the analytical solutions of the field operators are obtained. These solutions are approximated up to the second orders in dimensionless coupling constant. We investigate the squeezing, mixed mode squeezing, amplitude-squared squeezing, and the principal squeezing of the thermal and coherent light coupled to the NDPO. By using the input composite number state, we establish that the percentage and the range (interaction time) of squeezing is considerably increased with the increase of the signal photon number. For initial composite number state, the amplitude squared squeezing for Ys quadrature is obtained at the cost of canonically conjugate Zs quadrature. The percentage of amplitude squared squeezing increases significantly with the increase of signal excitation (photon). The so-called normal squeezing and the principal squeezing are also indicated for the NDPO coupled with the initially prepared composite coherent states not in the composite number states. In spite of the shortcomings of the analytical solutions, we obtain squeezing, amplitude squared squeezing and other nonclassical effects which are unavailable under the rotating wave approximation. In order to give the feelings about the analytical results (expressions), we give some symbolic calculations relevant to the possible experimental situations.
format Article
author Alam, Mohosin
Mandal, Swapan Kumar
Wahiddin, Mohamed Ridza
author_facet Alam, Mohosin
Mandal, Swapan Kumar
Wahiddin, Mohamed Ridza
author_sort Alam, Mohosin
title Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
title_short Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
title_full Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
title_fullStr Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
title_full_unstemmed Squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
title_sort squeezing, mixed mode squeezing, amplitude squared squeezing and principal squeezing in a non-degenerate parametric oscillator
publisher Elsevier
publishDate 2018
url http://irep.iium.edu.my/61658/
http://irep.iium.edu.my/61658/
http://irep.iium.edu.my/61658/
http://irep.iium.edu.my/61658/1/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude.pdf
http://irep.iium.edu.my/61658/2/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude_SCOPUS.pdf
http://irep.iium.edu.my/61658/3/61658_Squeezing%2C%20mixed%20mode%20squeezing%2C%20amplitude_WOS.pdf
first_indexed 2023-09-18T21:27:25Z
last_indexed 2023-09-18T21:27:25Z
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