A Numerical Perspective on the Jaynes-Cummings Model Wigner Function
Abstract The Wigner function appeared to discuss the quantum correction of thermodynamic equilibrium, and it has become a tool for the analysis of quantum systems, especially the harmonic oscillator, which states describe the quantum field in a cavity. We discuss a matrix approach for the computation of the Wigner function. The numerical techniques here discussed are applied to obtain the time-dependent Wigner function of the field for the Jaynes-Cummings Model, which is widely known to describe the fundamental matter-field interactions in a perfect cavity.
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| Main Authors: | , , , , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Instituto Politécnico Nacional, Centro de Investigación en Computación
2019
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462019000301125 |
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| Summary: | Abstract The Wigner function appeared to discuss the quantum correction of thermodynamic equilibrium, and it has become a tool for the analysis of quantum systems, especially the harmonic oscillator, which states describe the quantum field in a cavity. We discuss a matrix approach for the computation of the Wigner function. The numerical techniques here discussed are applied to obtain the time-dependent Wigner function of the field for the Jaynes-Cummings Model, which is widely known to describe the fundamental matter-field interactions in a perfect cavity. |
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