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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2018
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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 |
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Online Access |
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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 |
| _version_ |
1777412284937666560 |