Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model

The investigation of the dynamics of nonlinear systems becomes a hot topic in modern science and engineering. One of the most challenging problem is the quantum evolution of nonlinear excitations which has many applications in condensed matter physics, quantum optics, quantum information and othe...

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Main Author:	Umarov, Bakhram
Format:	Conference or Workshop Item
Language:	English
Published:	2013
Subjects:	QC Physics
Online Access:	http://irep.iium.edu.my/34354/ http://irep.iium.edu.my/34354/1/Quantum_dynamics_of_nonlinear.pdf

id	iium-34354
recordtype	eprints
spelling	iium-343542014-02-17T06:11:15Z http://irep.iium.edu.my/34354/ Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model Umarov, Bakhram QC Physics The investigation of the dynamics of nonlinear systems becomes a hot topic in modern science and engineering. One of the most challenging problem is the quantum evolution of nonlinear excitations which has many applications in condensed matter physics, quantum optics, quantum information and other areas of physics. Many different methods were suggested and implemented in this direction, both analytical and numerical. Among the most fruitful approaches are the so called phase space representations of quantum dynamics. In this method the evolution equation for quantum density operator is converted to the partial differential equation for some classical quasi-distribution function, which in some cases can be reduced to the system of ordinary stochastic differential equations. In this paper we are presenting the results of the investigation of quantum Ablowitz-Ladik model by the phase space representation methods. The classical Ablowitz-Ladik equation is the integrable discretization of Nonlinear Schrodinger Equation. The quantum dynamics of solitons and their interaction will be discussed, based on the results of the numerical simulation. The possibility of the quantum entanglement and squeezing in quantum Ablowitz-Ladik model will be investigated. 2013 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/34354/1/Quantum_dynamics_of_nonlinear.pdf Umarov, Bakhram (2013) Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model. In: IIUM Congres on Science 2013 (iCOS 2013), 3-4 December 2013, Pahang, Malaysia.
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 Umarov, Bakhram Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
description	The investigation of the dynamics of nonlinear systems becomes a hot topic in modern science and engineering. One of the most challenging problem is the quantum evolution of nonlinear excitations which has many applications in condensed matter physics, quantum optics, quantum information and other areas of physics. Many different methods were suggested and implemented in this direction, both analytical and numerical. Among the most fruitful approaches are the so called phase space representations of quantum dynamics. In this method the evolution equation for quantum density operator is converted to the partial differential equation for some classical quasi-distribution function, which in some cases can be reduced to the system of ordinary stochastic differential equations. In this paper we are presenting the results of the investigation of quantum Ablowitz-Ladik model by the phase space representation methods. The classical Ablowitz-Ladik equation is the integrable discretization of Nonlinear Schrodinger Equation. The quantum dynamics of solitons and their interaction will be discussed, based on the results of the numerical simulation. The possibility of the quantum entanglement and squeezing in quantum Ablowitz-Ladik model will be investigated.
format	Conference or Workshop Item
author	Umarov, Bakhram
author_facet	Umarov, Bakhram
author_sort	Umarov, Bakhram
title	Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
title_short	Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
title_full	Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
title_fullStr	Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
title_full_unstemmed	Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model
title_sort	quantum dynamics of nonlinear excitations in the ablowitz-ladik model
publishDate	2013
url	http://irep.iium.edu.my/34354/ http://irep.iium.edu.my/34354/1/Quantum_dynamics_of_nonlinear.pdf
first_indexed	2023-09-18T20:49:32Z
last_indexed	2023-09-18T20:49:32Z
_version_	1777409900760006656

Quantum dynamics of nonlinear excitations in the Ablowitz-Ladik model

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