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...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/1/Paper_Conference_2013.pdf |
| _version_ | 1848780610755100672 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:36:25Z |
| format | Proceeding Paper |
| id | iium-32691 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:36:25Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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 |
| spellingShingle | QC Physics Julius, Rafael Ibrahim, Abdel-Baset Deni, Mohd Salleh Umarov, Bakhram Squeezing in four-mode Kerr nonlinear coupler via phase space representation |
| title | 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_short | Squeezing in four-mode Kerr nonlinear coupler via phase space representation |
| title_sort | squeezing in four-mode kerr nonlinear coupler via phase space representation |
| topic | QC Physics |
| url | http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/ http://irep.iium.edu.my/32691/1/Paper_Conference_2013.pdf |