A Study of the Quantum Correlations in a Tavis-Cummings System
The quantum correlations of two qubits in a microcavity with dissipation and a single quantized mode of the electromagnetic field are studied. In order to study our physical system, the Tavis-Cummings model and the formalism of the master equation of the density operator under the Born-Markov approx...
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| Format: | Online |
| Language: | eng |
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Universidad Pedagógica y Tecnológica de Colombia
2018
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232 |
| _version_ | 1801706340195762176 |
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| author | Madrid Úsuga, Duvalier |
| author_facet | Madrid Úsuga, Duvalier |
| author_sort | Madrid Úsuga, Duvalier |
| collection | OJS |
| description | The quantum correlations of two qubits in a microcavity with dissipation and a single quantized mode of the electromagnetic field are studied. In order to study our physical system, the Tavis-Cummings model and the formalism of the master equation of the density operator under the Born-Markov approximations will be used. The cavity mode will be coupled with an external pulsed laser and the master equation of the density operator that describes the evolution of the system will be solved numerically. The concurrence, the quantum mutual information, and the quantum discord are determined for the system of two qubits. The correlations are studied as a function of the dimensionless quantity $\tau = gt $ when the intensity of the laser cavity coupling varies, and two initial conditions are considered in the weak coupling regime in which the dynamic evolution of these correlations was studied. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-7232 |
| institution | Revista Ciencia en Desarrollo |
| language | eng |
| publishDate | 2018 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-72322020-11-11T02:08:36Z A Study of the Quantum Correlations in a Tavis-Cummings System Estudio de correlaciones cuánticas en un sistema Tavis-Cumming Madrid Úsuga, Duvalier Sistemas Cuánticos Abiertos, Ecuación Maestra, Modelo Tavis-Cummings, Correlaciones Cuánticas, Concurrencia, Información Mutua, Discordia Cuántica Open quantum systems master equation Tavis-Cummings model quantum correlations concurrence mutual information quantum discord. The quantum correlations of two qubits in a microcavity with dissipation and a single quantized mode of the electromagnetic field are studied. In order to study our physical system, the Tavis-Cummings model and the formalism of the master equation of the density operator under the Born-Markov approximations will be used. The cavity mode will be coupled with an external pulsed laser and the master equation of the density operator that describes the evolution of the system will be solved numerically. The concurrence, the quantum mutual information, and the quantum discord are determined for the system of two qubits. The correlations are studied as a function of the dimensionless quantity $\tau = gt $ when the intensity of the laser cavity coupling varies, and two initial conditions are considered in the weak coupling regime in which the dynamic evolution of these correlations was studied. Se estudian las correlaciones cuánticas de dos qubits en una microcavidad con disipación y un solo modo cuantificado del campo electromagnético interactuado con ella. Para estudiar nuestro sistema físico, se utiliza el modelo de Tavis-Cummings y el formalismo de la ecuación maestra del operador de densidad bajo las aproximaciones de Born-Markov. El modo de cavidad estará acoplado con un láser pulsado externo y la ecuación maestra del operador de densidad que describe la evolución del sistema será resuelta numéricamente. La concurrencia, la información mutua cuántica y la discordancia cuántica se determinan para el sistema de dos qubits. Las correlaciones se estudian como una función de la cantidad adimensional τ=gt cuando la intensidad de acoplamiento cavidad láser varía, y se consideran dos condiciones iniciales en el régimen de acoplamiento débil en los que se estudió la evolución dinámica de estas correlaciones. Universidad Pedagógica y Tecnológica de Colombia 2018-02-06 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232 10.19053/01217488.v9.n1.2018.7232 Ciencia En Desarrollo; Vol. 9 No. 1 (2018): Vol 9, Núm. 1 (2018): Enero - Junio; 41-50 Ciencia en Desarrollo; Vol. 9 Núm. 1 (2018): Vol 9, Núm. 1 (2018): Enero - Junio; 41-50 2462-7658 0121-7488 eng https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232/pdf Derechos de autor 2018 CIENCIA EN DESARROLLO |
| spellingShingle | Sistemas Cuánticos Abiertos, Ecuación Maestra, Modelo Tavis-Cummings, Correlaciones Cuánticas, Concurrencia, Información Mutua, Discordia Cuántica Open quantum systems master equation Tavis-Cummings model quantum correlations concurrence mutual information quantum discord. Madrid Úsuga, Duvalier A Study of the Quantum Correlations in a Tavis-Cummings System |
| title | A Study of the Quantum Correlations in a Tavis-Cummings System |
| title_alt | Estudio de correlaciones cuánticas en un sistema Tavis-Cumming |
| title_full | A Study of the Quantum Correlations in a Tavis-Cummings System |
| title_fullStr | A Study of the Quantum Correlations in a Tavis-Cummings System |
| title_full_unstemmed | A Study of the Quantum Correlations in a Tavis-Cummings System |
| title_short | A Study of the Quantum Correlations in a Tavis-Cummings System |
| title_sort | study of the quantum correlations in a tavis cummings system |
| topic | Sistemas Cuánticos Abiertos, Ecuación Maestra, Modelo Tavis-Cummings, Correlaciones Cuánticas, Concurrencia, Información Mutua, Discordia Cuántica Open quantum systems master equation Tavis-Cummings model quantum correlations concurrence mutual information quantum discord. |
| topic_facet | Sistemas Cuánticos Abiertos, Ecuación Maestra, Modelo Tavis-Cummings, Correlaciones Cuánticas, Concurrencia, Información Mutua, Discordia Cuántica Open quantum systems master equation Tavis-Cummings model quantum correlations concurrence mutual information quantum discord. |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232 |
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