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arXiv · 1605.05593

Interaction of a single mode field cavity with the 1D XY model: Energy spectrum

H. Tonchev·A. A. Donkov·H. Chamati
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Abstract

In this work we use the fundamental in quantum optics Jaynes-Cummings model to study the response of spin $\tfrac12$ chain to a single mode of a laser light falling on one of the spins, a focused interaction model between the light and the spin chain. For the spin-spin interaction along the chain we use the XY model. We report here the exact analytical results, obtained with the help of a computer algebra system, for the energy spectrum in this model for chains of up to 4 spins with nearest neighbors interactions, either for open or cyclic chain configurations. Varying the sign and magnitude of the spin exchange coupling relative to the light-spin interaction we have investigated both cases of ferromagnetic or antiferromagnetic spin chains.

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H. Tonchev, A. A. Donkov, H. Chamati. 2016-05-18. Interaction of a single mode field cavity with the 1D XY model: Energy spectrum. https://doi.org/10.1088/1742-6596/682/1/012032

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