dorsal/arxiv
View Schema(p,q)-Deformations and (p,q)-Vector Coherent States of the Jaynes-Cummings Model in the Rotating Wave Approximation
| Authors | Joseph Ben Geloun, Jan Govaerts, M. Norbert Hounkonnou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610192 |
| URL | https://arxiv.org/abs/quant-ph/0610192 |
| DOI | 10.1063/1.2710651 |
Abstract
Classes of (p,q)-deformations of the Jaynes-Cummings model in the rotating wave approximation are considered. Diagonalization of the Hamiltonian is performed exactly, leading to useful spectral decompositions of a series of relevant operators. The latter include ladder operators acting between adjacent energy eigenstates within two separate infinite discrete towers, except for a singleton state. These ladder operators allow for the construction of (p,q)-deformed vector coherent states. Using (p,q)-arithmetics, explicit and exact solutions to the associated moment problem are displayed, providing new classes of coherent states for such models. Finally, in the limit of decoupled spin sectors, our analysis translates into (p,q)-deformations of the supersymmetric harmonic oscillator, such that the two supersymmetric sectors get intertwined through the action of the ladder operators as well as in the associated coherent states.
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"abstract": "Classes of (p,q)-deformations of the Jaynes-Cummings model in the rotating\nwave approximation are considered. Diagonalization of the Hamiltonian is\nperformed exactly, leading to useful spectral decompositions of a series of\nrelevant operators. The latter include ladder operators acting between adjacent\nenergy eigenstates within two separate infinite discrete towers, except for a\nsingleton state. These ladder operators allow for the construction of\n(p,q)-deformed vector coherent states. Using (p,q)-arithmetics, explicit and\nexact solutions to the associated moment problem are displayed, providing new\nclasses of coherent states for such models. Finally, in the limit of decoupled\nspin sectors, our analysis translates into (p,q)-deformations of the\nsupersymmetric harmonic oscillator, such that the two supersymmetric sectors\nget intertwined through the action of the ladder operators as well as in the\nassociated coherent states.",
"arxiv_id": "quant-ph/0610192",
"authors": [
"Joseph Ben Geloun",
"Jan Govaerts",
"M. Norbert Hounkonnou"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.2710651",
"title": "(p,q)-Deformations and (p,q)-Vector Coherent States of the Jaynes-Cummings Model in the Rotating Wave Approximation",
"url": "https://arxiv.org/abs/quant-ph/0610192"
},
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