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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MDPI AG
2016-09-01
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Series: | Entropy |
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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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institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-04-11T21:56:39Z |
publishDate | 2016-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
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 |
work_keys_str_mv | AT luisamilcaandrademorales entropyforthequantizedfieldintheatomfieldinteractioninitialthermaldistribution AT brauliomvillegasmartinez entropyforthequantizedfieldintheatomfieldinteractioninitialthermaldistribution AT hectormmoyacessa entropyforthequantizedfieldintheatomfieldinteractioninitialthermaldistribution |