Abstract
This paper describes two cases of interaction between a quantized electromagnetic field and two different XY spin molecules; one with spins ½, and the other with spins 1. Both interact with a quantized electromagnetic field, with one of the spins in the chain interacting with the electromagnetic field. The interaction between the field mode and the spin chain with spins 1 is described by the one- and two-photon Jaynes-Cummings model (JC model). On the other hand, the interaction between the spins ½ and the electromagnetic field is described only by the one-photon Jaynes-Cummings model. Analytical and numerical calculations were made for the case of a different number of photons in the field mode, a different number of spins, and a different position of spin, interacting with the electromagnetic field. The invariant and block structures of such a chain are shown with a comparison made between the evolution of the magnetic moment and the number of photons in both cases.
Highlights
Introduction between XY Spin Chains withSpinThe main task in quantum optics is the interaction between a quantized electromagnetic field and the energy levels of the atom or ion
A spin chain consisting of spin 1 particles interacts with one or two photons, and one of the spins interacts with an electromagnetic field mode
Energy spectrum of four spins a chain and a second spin interacting with quantized electromagnetic field
Summary
The main task in quantum optics is the interaction between a quantized electromagnetic field and the energy levels of the atom or ion. Dicke’s chain-to light interaction model plays a major role in the study of super-radiation phase transition [39,40,41], the squeezing of spin states [36], and quantum entanglement [36,40]. Another model describing the interaction between a spin chain and a quantum electromagnetic field, which is being worked on by Ref.
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