Perturbation theory for open quantum systems at the steady state

We propose a theoretical method for studying open quantum systems at the steady state within the framework of the perturbation theory. This approach allow us to compute the density operator of the system perturbatively and, in principle, to obtain an expression for its density matrix elements explic...

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Main Authors:	Edgar A. Gómez, Jorge David Castaño-Yepes, Saravana Prakash Thirumuruganandham
Format:	Article
Language:	English
Published:	Elsevier 2018-09-01
Series:	Results in Physics
Online Access:	http://www.sciencedirect.com/science/article/pii/S2211379717324889

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spelling	doaj-d894dd71cc65426dbf5f388131dbf8b82020-11-24T20:44:24ZengElsevierResults in Physics2211-37972018-09-0110353355Perturbation theory for open quantum systems at the steady stateEdgar A. Gómez0Jorge David Castaño-Yepes1Saravana Prakash Thirumuruganandham2Programa de Física, Universidad del Quindío, Armenia 630004, ColombiaPrograma de Física, Universidad del Quindío, Armenia 630004, Colombia; Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México Distrito Federal C.P. 04510, MexicoSchool of Physical Sciences and Nanotechnology, Yachay Tech, San Miguel de Urcuquí, 100650, Ecuador; Corresponding author.We propose a theoretical method for studying open quantum systems at the steady state within the framework of the perturbation theory. This approach allow us to compute the density operator of the system perturbatively and, in principle, to obtain an expression for its density matrix elements explicitly. To illustrate our methodology, we provide a case study of a nonlinear two-level system coupled to a thermal reservoir and special attention is given to the relationship between nonlinearity and nonclassicality. In particular, this relation is quantified by considering the quantum measures as the nonclassical depth, nonclassical distance and the quantum fidelity. We find that the nonclassicality is originated at least by second order contribution of nonlinear terms in quantum dynamics. 2000 MSC: 46N50, 37N20, 46N50http://www.sciencedirect.com/science/article/pii/S2211379717324889
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Edgar A. Gómez Jorge David Castaño-Yepes Saravana Prakash Thirumuruganandham
spellingShingle	Edgar A. Gómez Jorge David Castaño-Yepes Saravana Prakash Thirumuruganandham Perturbation theory for open quantum systems at the steady state Results in Physics
author_facet	Edgar A. Gómez Jorge David Castaño-Yepes Saravana Prakash Thirumuruganandham
author_sort	Edgar A. Gómez
title	Perturbation theory for open quantum systems at the steady state
title_short	Perturbation theory for open quantum systems at the steady state
title_full	Perturbation theory for open quantum systems at the steady state
title_fullStr	Perturbation theory for open quantum systems at the steady state
title_full_unstemmed	Perturbation theory for open quantum systems at the steady state
title_sort	perturbation theory for open quantum systems at the steady state
publisher	Elsevier
series	Results in Physics
issn	2211-3797
publishDate	2018-09-01
description	We propose a theoretical method for studying open quantum systems at the steady state within the framework of the perturbation theory. This approach allow us to compute the density operator of the system perturbatively and, in principle, to obtain an expression for its density matrix elements explicitly. To illustrate our methodology, we provide a case study of a nonlinear two-level system coupled to a thermal reservoir and special attention is given to the relationship between nonlinearity and nonclassicality. In particular, this relation is quantified by considering the quantum measures as the nonclassical depth, nonclassical distance and the quantum fidelity. We find that the nonclassicality is originated at least by second order contribution of nonlinear terms in quantum dynamics. 2000 MSC: 46N50, 37N20, 46N50
url	http://www.sciencedirect.com/science/article/pii/S2211379717324889
work_keys_str_mv	AT edgaragomez perturbationtheoryforopenquantumsystemsatthesteadystate AT jorgedavidcastanoyepes perturbationtheoryforopenquantumsystemsatthesteadystate AT saravanaprakashthirumuruganandham perturbationtheoryforopenquantumsystemsatthesteadystate
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Perturbation theory for open quantum systems at the steady state

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