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

INERA Conference 2015: Light in Nanoscience and Nanotechnology

Tonchev, H.^1 ; Donkov, A.A.^1 ; Chamati, H.^1

Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tzarigradsko Chaussée, Sofia

1784, Bulgaria^1

关键词: Analytical results;    Antiferromagnetic spins;    Computer algebra systems;    Interaction model;    Nearest-neighbors interactions;    Single-mode field;    Spin-exchange coupling;    Spin-spin interaction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/682/1/012032/pdf
DOI  :  10.1088/1742-6596/682/1/012032

来源: IOP

【 摘 要 】

In this work we use the fundamental in quantum optics Jaynes-Cummings model to study the response of spin 1/2chain 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.