Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution

We study the entropy of a quantized field in interaction with a two-level atom (in a pure state) when the field is initially in a mixture of two number states. We then generalise the result for a thermal state; i.e., an (infinite) statistical mixture of number states. We show that for some specific...

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Main Authors: Luis Amilca Andrade-Morales, Braulio M. Villegas-Martínez, Hector M. Moya-Cessa
Format: Article
Language:English
Published: MDPI AG 2016-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/10/346
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author Luis Amilca Andrade-Morales
Braulio M. Villegas-Martínez
Hector M. Moya-Cessa
author_facet Luis Amilca Andrade-Morales
Braulio M. Villegas-Martínez
Hector M. Moya-Cessa
author_sort Luis Amilca Andrade-Morales
collection DOAJ
description We study the entropy of a quantized field in interaction with a two-level atom (in a pure state) when the field is initially in a mixture of two number states. We then generalise the result for a thermal state; i.e., an (infinite) statistical mixture of number states. We show that for some specific interaction times, the atom passes its purity to the field and therefore the field entropy decreases from its initial value.
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spelling doaj.art-5265de461cd7404dabd3d16d0977a6452022-12-22T04:01:04ZengMDPI AGEntropy1099-43002016-09-01181034610.3390/e18100346e18100346Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal DistributionLuis Amilca Andrade-Morales0Braulio M. Villegas-Martínez1Hector M. Moya-Cessa2Instituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Tonantzintla 72840, MexicoInstituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Tonantzintla 72840, MexicoInstituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Tonantzintla 72840, MexicoWe study the entropy of a quantized field in interaction with a two-level atom (in a pure state) when the field is initially in a mixture of two number states. We then generalise the result for a thermal state; i.e., an (infinite) statistical mixture of number states. We show that for some specific interaction times, the atom passes its purity to the field and therefore the field entropy decreases from its initial value.http://www.mdpi.com/1099-4300/18/10/346von Neumann entropymixed statespurity
spellingShingle Luis Amilca Andrade-Morales
Braulio M. Villegas-Martínez
Hector M. Moya-Cessa
Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
Entropy
von Neumann entropy
mixed states
purity
title Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
title_full Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
title_fullStr Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
title_full_unstemmed Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
title_short Entropy for the Quantized Field in the Atom-Field Interaction: Initial Thermal Distribution
title_sort entropy for the quantized field in the atom field interaction initial thermal distribution
topic von Neumann entropy
mixed states
purity
url http://www.mdpi.com/1099-4300/18/10/346
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