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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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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. |
format | Online Article Text |
id | pubmed-7512197 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT mathisenthomas liouvillianoftheopenstirapproblem AT larsonjonas liouvillianoftheopenstirapproblem |