Quantum Steering in Two- and Three-Mode ??-Symmetric Systems

We consider two <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric models, consisting of two or three...

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Autores principales:	Vinh Le Duc, Joanna K. Kalaga, Wiesław Leoński, Mateusz Nowotarski, Konrad Gruszka, Małgorzata Kostrzewa
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	??-symmetry quantum correlations quantum steering cavity Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7307dde0e0314acf844e3a4ae61316e4
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spelling	oai:doaj.org-article:7307dde0e0314acf844e3a4ae61316e42021-11-25T19:07:33ZQuantum Steering in Two- and Three-Mode ??-Symmetric Systems10.3390/sym131122012073-8994https://doaj.org/article/7307dde0e0314acf844e3a4ae61316e42021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2201https://doaj.org/toc/2073-8994We consider two <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric models, consisting of two or three single-mode cavities. In both models, the cavities are coupled to each other by linear interactions, forming a linear chain. Additionally, the first and last of such cavities interact with an environment. Since the models are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric, they are described by non-Hermitian Hamiltonians that, for a specific range of system parameters, possess real eigenvalues. We show that in the models considered in the article, the steering generation process strongly depends on the coupling strengths and rates of the gains/losses in energy. Moreover, we find the values of parameters describing the system for which the steering appears.Vinh Le DucJoanna K. KalagaWiesław LeońskiMateusz NowotarskiKonrad GruszkaMałgorzata KostrzewaMDPI AGarticle??-symmetryquantum correlationsquantum steeringcavityMathematicsQA1-939ENSymmetry, Vol 13, Iss 2201, p 2201 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	??-symmetry quantum correlations quantum steering cavity Mathematics QA1-939
spellingShingle	??-symmetry quantum correlations quantum steering cavity Mathematics QA1-939 Vinh Le Duc Joanna K. Kalaga Wiesław Leoński Mateusz Nowotarski Konrad Gruszka Małgorzata Kostrzewa Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
description	We consider two <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric models, consisting of two or three single-mode cavities. In both models, the cavities are coupled to each other by linear interactions, forming a linear chain. Additionally, the first and last of such cavities interact with an environment. Since the models are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric, they are described by non-Hermitian Hamiltonians that, for a specific range of system parameters, possess real eigenvalues. We show that in the models considered in the article, the steering generation process strongly depends on the coupling strengths and rates of the gains/losses in energy. Moreover, we find the values of parameters describing the system for which the steering appears.
format	article
author	Vinh Le Duc Joanna K. Kalaga Wiesław Leoński Mateusz Nowotarski Konrad Gruszka Małgorzata Kostrzewa
author_facet	Vinh Le Duc Joanna K. Kalaga Wiesław Leoński Mateusz Nowotarski Konrad Gruszka Małgorzata Kostrzewa
author_sort	Vinh Le Duc
title	Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
title_short	Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
title_full	Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
title_fullStr	Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
title_full_unstemmed	Quantum Steering in Two- and Three-Mode ??-Symmetric Systems
title_sort	quantum steering in two- and three-mode ??-symmetric systems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/7307dde0e0314acf844e3a4ae61316e4
work_keys_str_mv	AT vinhleduc quantumsteeringintwoandthreemodesymmetricsystems AT joannakkalaga quantumsteeringintwoandthreemodesymmetricsystems AT wiesławleonski quantumsteeringintwoandthreemodesymmetricsystems AT mateusznowotarski quantumsteeringintwoandthreemodesymmetricsystems AT konradgruszka quantumsteeringintwoandthreemodesymmetricsystems AT małgorzatakostrzewa quantumsteeringintwoandthreemodesymmetricsystems
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Quantum Steering in Two- and Three-Mode ??-Symmetric Systems

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