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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Elsevier
2018
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| Subjects: | |
| Online Access: | 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 |
| Summary: | 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. |
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