Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification

We investigate some of the fundamental features of the interaction of a mixture of coherent states, namely, a Kaleidoscope states mixture, with two-level atoms in the Jaynes–Cummings model framework. We begin our analysis by calculating the von Neumann entropy of the field, which is determined with...

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Main Authors: Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/2/150
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author Jorge A. Anaya-Contreras
Arturo Zúñiga-Segundo
Héctor M. Moya-Cessa
author_facet Jorge A. Anaya-Contreras
Arturo Zúñiga-Segundo
Héctor M. Moya-Cessa
author_sort Jorge A. Anaya-Contreras
collection DOAJ
description We investigate some of the fundamental features of the interaction of a mixture of coherent states, namely, a Kaleidoscope states mixture, with two-level atoms in the Jaynes–Cummings model framework. We begin our analysis by calculating the von Neumann entropy of the field, which is determined with the help of the virtual atom method. The oscillations appearing in the entropy indicate a state of purity greater than the initial state, i.e., a purification of the initial state due to a transfer of coherence from the atom to the field. In this oscillatory region, we obtain a negative Wigner function that hints at a (noisy) multiple Schrödinger cat.
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spelling doaj.art-eb2f71833a744869ac4602051c92a5552023-11-16T22:45:04ZengMDPI AGPhotonics2304-67322023-01-0110215010.3390/photonics10020150Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and PurificationJorge A. Anaya-Contreras0Arturo Zúñiga-Segundo1Héctor M. Moya-Cessa2ESFM Departamento de Física, Edificio 9 Unidad Profesional Adolfo López Mateos, Instituto Politécnico Nacional, México 07738, MexicoESFM Departamento de Física, Edificio 9 Unidad Profesional Adolfo López Mateos, Instituto Politécnico Nacional, México 07738, MexicoInstituto Nacional de Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Sta. María Tonantzintla, Puebla 72840, MexicoWe investigate some of the fundamental features of the interaction of a mixture of coherent states, namely, a Kaleidoscope states mixture, with two-level atoms in the Jaynes–Cummings model framework. We begin our analysis by calculating the von Neumann entropy of the field, which is determined with the help of the virtual atom method. The oscillations appearing in the entropy indicate a state of purity greater than the initial state, i.e., a purification of the initial state due to a transfer of coherence from the atom to the field. In this oscillatory region, we obtain a negative Wigner function that hints at a (noisy) multiple Schrödinger cat.https://www.mdpi.com/2304-6732/10/2/150Kaleidoscope-statesmixed-statesvirtual-atom
spellingShingle Jorge A. Anaya-Contreras
Arturo Zúñiga-Segundo
Héctor M. Moya-Cessa
Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
Photonics
Kaleidoscope-states
mixed-states
virtual-atom
title Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
title_full Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
title_fullStr Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
title_full_unstemmed Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
title_short Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification
title_sort statistical mixture of kaleidoscope states interacting with a two level atom entropy and purification
topic Kaleidoscope-states
mixed-states
virtual-atom
url https://www.mdpi.com/2304-6732/10/2/150
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