Squeezing in four-mode Kerr nonlinear coupler via phase space representation

Quantum statistical properties of interacting optical fields in Kerr nonlinear coupler can be regarded as one of the most fundamental problems in quantum optics. As the analytical solution to these systems is not always possible, a semi-analytic or direct numerical solution has to be employed to o...

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Main Authors:	Julius, Rafael, Ibrahim, Abdel-Baset, Deni, Mohd Salleh, Umarov, Bakhram
Format:	Conference or Workshop Item
Language:	English
Published:	2013
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/1/Paper_Conference_2013.pdf

id	iium-32691
recordtype	eprints
spelling	iium-326912013-11-13T02:59:22Z http://irep.iium.edu.my/32691/ Squeezing in four-mode Kerr nonlinear coupler via phase space representation Julius, Rafael Ibrahim, Abdel-Baset Deni, Mohd Salleh Umarov, Bakhram QC Physics Quantum statistical properties of interacting optical fields in Kerr nonlinear coupler can be regarded as one of the most fundamental problems in quantum optics. As the analytical solution to these systems is not always possible, a semi-analytic or direct numerical solution has to be employed to obtain more complete description of their evolution. This paper investigates the quantum properties of a four-mode coupler composed of two Kerr nonlinear waveguides via phase-space representation. In this system, the electromagnetic field is described by its Hamiltonian and the time evolution of the system is described by Von-Neumann equation. Following the standard techniques, the master equation for the density matrix of the system is obtained and converted to the corresponding classical Fokker-Planck equation using both positive-P and Wigner representations. The corresponding set of Langevin Stochastic equations are then obtained from the Fokker-Planck equation using Ito rules. Finally, the system is integrated numerically and averaged over many trajectories to get the relevant information. The dynamics of the mean fields, the effects of self-action nonlinearity, cross-action coupling and initial energy of the coherent light on the evolution of the field quadrature variances are investigated. Further, the influences of multimode interaction on the dynamics of the squeezed states are discussed. We show that the system can produce squeezed states in both quadrature variances for all calculated parameters. In addition, the multimode interaction extends the range of squeezing at the expense of its amplitude. 2013 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/32691/1/Paper_Conference_2013.pdf Julius, Rafael and Ibrahim, Abdel-Baset and Deni, Mohd Salleh and Umarov, Bakhram (2013) Squeezing in four-mode Kerr nonlinear coupler via phase space representation. In: International Conference on Mathematical Sciences and Statistics (ICMSS2013), 5-7 February 2013, Sunway Putra Hotel, Kuala Lumpur, MALAYSIA. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4823897
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QC Physics
spellingShingle	QC Physics Julius, Rafael Ibrahim, Abdel-Baset Deni, Mohd Salleh Umarov, Bakhram Squeezing in four-mode Kerr nonlinear coupler via phase space representation
description	Quantum statistical properties of interacting optical fields in Kerr nonlinear coupler can be regarded as one of the most fundamental problems in quantum optics. As the analytical solution to these systems is not always possible, a semi-analytic or direct numerical solution has to be employed to obtain more complete description of their evolution. This paper investigates the quantum properties of a four-mode coupler composed of two Kerr nonlinear waveguides via phase-space representation. In this system, the electromagnetic field is described by its Hamiltonian and the time evolution of the system is described by Von-Neumann equation. Following the standard techniques, the master equation for the density matrix of the system is obtained and converted to the corresponding classical Fokker-Planck equation using both positive-P and Wigner representations. The corresponding set of Langevin Stochastic equations are then obtained from the Fokker-Planck equation using Ito rules. Finally, the system is integrated numerically and averaged over many trajectories to get the relevant information. The dynamics of the mean fields, the effects of self-action nonlinearity, cross-action coupling and initial energy of the coherent light on the evolution of the field quadrature variances are investigated. Further, the influences of multimode interaction on the dynamics of the squeezed states are discussed. We show that the system can produce squeezed states in both quadrature variances for all calculated parameters. In addition, the multimode interaction extends the range of squeezing at the expense of its amplitude.
format	Conference or Workshop Item
author	Julius, Rafael Ibrahim, Abdel-Baset Deni, Mohd Salleh Umarov, Bakhram
author_facet	Julius, Rafael Ibrahim, Abdel-Baset Deni, Mohd Salleh Umarov, Bakhram
author_sort	Julius, Rafael
title	Squeezing in four-mode Kerr nonlinear coupler via phase space representation
title_short	Squeezing in four-mode Kerr nonlinear coupler via phase space representation
title_full	Squeezing in four-mode Kerr nonlinear coupler via phase space representation
title_fullStr	Squeezing in four-mode Kerr nonlinear coupler via phase space representation
title_full_unstemmed	Squeezing in four-mode Kerr nonlinear coupler via phase space representation
title_sort	squeezing in four-mode kerr nonlinear coupler via phase space representation
publishDate	2013
url	http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/1/Paper_Conference_2013.pdf
first_indexed	2023-09-18T20:47:12Z
last_indexed	2023-09-18T20:47:12Z
_version_	1777409754649329664

Squeezing in four-mode Kerr nonlinear coupler via phase space representation

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