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

Abstract

In this work we use the fundamental in quantum optics Jaynes-Cummings model to study the response of spin $\frac{1}{2}$ 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.

arXiv comment6 pages, 4 figures, INERA Conference 2015: Light in Nanoscience and Nanotechnology (LNN 2015)

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Cited by in corpus (2)

• Effects of cavity-cavity interaction on the entanglement dynamics of a generalized double Jaynes-Cummings model
• Energy spectra of a spin-$\frac{1}{2}$ XY spin molecule interacting with a single mode field cavity: Numerical study