Higher-Order Amplitude Squeezing in Six-Wave Mixing Process

We investigate theoretically the generation of squeezed states in spontaneous and stimulated six-wave mixing process quantum mechanically. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed, and fourth power of field amplitude of fundamental mode in the pr...

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Main Authors: Sunil Rani, Jawahar Lal, Nafa Singh
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2011/629605
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author Sunil Rani
Jawahar Lal
Nafa Singh
author_facet Sunil Rani
Jawahar Lal
Nafa Singh
author_sort Sunil Rani
collection DOAJ
description We investigate theoretically the generation of squeezed states in spontaneous and stimulated six-wave mixing process quantum mechanically. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed, and fourth power of field amplitude of fundamental mode in the process. It is found to be dependent on coupling parameter “g” (characteristics of higher-order susceptibility tensor) and phase values of the field amplitude under short-time approximation. Six-wave mixing is a process which involves absorption of three pump photons and emission of two probe photons of the same frequency and a signal photon of different frequency. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in spontaneous process. The degree of squeezing depends upon the photon number in first and higher orders of field amplitude. We study the statistical behaviour of quantum field in the fundamental mode and found it to be sub-Poissonian in nature. The signal-to-noise ratio has been studied in different orders. It is found that signal-to-noise ratio is higher in lower orders. This study when supplemented with experimental observations offers possibility of improving performance of many optical devices and optical communication networks.
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spelling doaj-art-d0c4cc7816f846759195698f2c9e75912025-02-03T06:07:57ZengWileyInternational Journal of Optics1687-93841687-93922011-01-01201110.1155/2011/629605629605Higher-Order Amplitude Squeezing in Six-Wave Mixing ProcessSunil Rani0Jawahar Lal1Nafa Singh2Department of Applied Physics, Shri Krishan Institute of Engineering & Technology, Kurukshetra 136118, IndiaDepartment of Physics, Markanda National College, Shahbad, Kurukshetra 136118, IndiaDepartment of Physics, Kurukshetra University, Kurukshetra 136119, IndiaWe investigate theoretically the generation of squeezed states in spontaneous and stimulated six-wave mixing process quantum mechanically. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed, and fourth power of field amplitude of fundamental mode in the process. It is found to be dependent on coupling parameter “g” (characteristics of higher-order susceptibility tensor) and phase values of the field amplitude under short-time approximation. Six-wave mixing is a process which involves absorption of three pump photons and emission of two probe photons of the same frequency and a signal photon of different frequency. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in spontaneous process. The degree of squeezing depends upon the photon number in first and higher orders of field amplitude. We study the statistical behaviour of quantum field in the fundamental mode and found it to be sub-Poissonian in nature. The signal-to-noise ratio has been studied in different orders. It is found that signal-to-noise ratio is higher in lower orders. This study when supplemented with experimental observations offers possibility of improving performance of many optical devices and optical communication networks.http://dx.doi.org/10.1155/2011/629605
spellingShingle Sunil Rani
Jawahar Lal
Nafa Singh
Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
International Journal of Optics
title Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
title_full Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
title_fullStr Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
title_full_unstemmed Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
title_short Higher-Order Amplitude Squeezing in Six-Wave Mixing Process
title_sort higher order amplitude squeezing in six wave mixing process
url http://dx.doi.org/10.1155/2011/629605
work_keys_str_mv AT sunilrani higherorderamplitudesqueezinginsixwavemixingprocess
AT jawaharlal higherorderamplitudesqueezinginsixwavemixingprocess
AT nafasingh higherorderamplitudesqueezinginsixwavemixingprocess