Purification of the atom-field interaction Hamiltonian

Jorge A. Anaya-Contreras; Arturo Zúñiga-Segundo; Héctor M. Moya-Cessa

doi:10.1016/j.physo.2019.100007

Purification of the atom-field interaction Hamiltonian

Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the Jaynes-Cummings model with initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then suggest Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.

Translated title of the contribution	Purificación de la interacción átomo-campo Hamiltoniano
Original language	English
Article number	100007
Journal	Physics Open
Volume	1
DOIs	https://doi.org/10.1016/j.physo.2019.100007
State	Published - Dec 2019

Keywords

Atom-field interaction
Entropy
Purification techniques
Quasiprobability distribution functions

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10.1016/j.physo.2019.100007

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title = "Purification of the atom-field interaction Hamiltonian",

abstract = "We study the Jaynes-Cummings model with initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then suggest Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.",

keywords = "Atom-field interaction, Entropy, Purification techniques, Quasiprobability distribution functions",

author = "Anaya-Contreras, {Jorge A.} and Arturo Z{\'u}{\~n}iga-Segundo and Moya-Cessa, {H{\'e}ctor M.}",

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AU - Anaya-Contreras, Jorge A.

AU - Zúñiga-Segundo, Arturo

AU - Moya-Cessa, Héctor M.

PY - 2019/12

Y1 - 2019/12

N2 - We study the Jaynes-Cummings model with initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then suggest Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.

AB - We study the Jaynes-Cummings model with initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then suggest Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.

KW - Atom-field interaction

KW - Entropy

KW - Purification techniques

KW - Quasiprobability distribution functions

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VL - 1

JO - Physics Open

JF - Physics Open

M1 - 100007

ER -

Purification of the atom-field interaction Hamiltonian

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Keywords

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