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Liouvillian of the Open STIRAP Problem

With the corresponding Liouvillian as a starting point, we demonstrate two seemingly new phenomena of the STIRAP problem when subjected to irreversible losses. It is argued that both of these can be understood from an underlying Zeno effect, and in particular both can be viewed as if the environment...

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Autores principales: Mathisen, Thomas, Larson, Jonas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512197/
https://www.ncbi.nlm.nih.gov/pubmed/33265111
http://dx.doi.org/10.3390/e20010020
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author Mathisen, Thomas
Larson, Jonas
author_facet Mathisen, Thomas
Larson, Jonas
author_sort Mathisen, Thomas
collection PubMed
description With the corresponding Liouvillian as a starting point, we demonstrate two seemingly new phenomena of the STIRAP problem when subjected to irreversible losses. It is argued that both of these can be understood from an underlying Zeno effect, and in particular both can be viewed as if the environment assists the STIRAP population transfer. The first of these is found for relative strong dephasing, and, in the language of the Liouvillian, it is explained from the explicit form of the matrix generating the time-evolution; the coherence terms of the state decay off, which prohibits further population transfer. For pure dissipation, another Zeno effect is found, where the presence of a non-zero Liouvillian gap protects the system’s (adiabatic) state from non-adiabatic excitations. In contrast to full Zeno freezing of the evolution, which is often found in many problems without explicit time-dependence, here, the freezing takes place in the adiabatic basis such that the system still evolves but adiabatically.
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spelling pubmed-75121972020-11-09 Liouvillian of the Open STIRAP Problem Mathisen, Thomas Larson, Jonas Entropy (Basel) Article With the corresponding Liouvillian as a starting point, we demonstrate two seemingly new phenomena of the STIRAP problem when subjected to irreversible losses. It is argued that both of these can be understood from an underlying Zeno effect, and in particular both can be viewed as if the environment assists the STIRAP population transfer. The first of these is found for relative strong dephasing, and, in the language of the Liouvillian, it is explained from the explicit form of the matrix generating the time-evolution; the coherence terms of the state decay off, which prohibits further population transfer. For pure dissipation, another Zeno effect is found, where the presence of a non-zero Liouvillian gap protects the system’s (adiabatic) state from non-adiabatic excitations. In contrast to full Zeno freezing of the evolution, which is often found in many problems without explicit time-dependence, here, the freezing takes place in the adiabatic basis such that the system still evolves but adiabatically. MDPI 2018-01-03 /pmc/articles/PMC7512197/ /pubmed/33265111 http://dx.doi.org/10.3390/e20010020 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Mathisen, Thomas
Larson, Jonas
Liouvillian of the Open STIRAP Problem
title Liouvillian of the Open STIRAP Problem
title_full Liouvillian of the Open STIRAP Problem
title_fullStr Liouvillian of the Open STIRAP Problem
title_full_unstemmed Liouvillian of the Open STIRAP Problem
title_short Liouvillian of the Open STIRAP Problem
title_sort liouvillian of the open stirap problem
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512197/
https://www.ncbi.nlm.nih.gov/pubmed/33265111
http://dx.doi.org/10.3390/e20010020
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