Spin sistemlerinde dolaşıklık ve oyuk kuantum elektrodinamiği (jaynes-cummings modeli)

We have studied the quantum entanglement theory from several aspects. We investigate the properties of twelve entanglement measures for pure states of qutrits by calculating and by comparing the entanglement of the eigenstates of a spin-1 antiferromagnetic Heisenberg chain. We ¯nd that, among these measures only von Neumann Entropy, negativity, and a lower bound of entanglement of for- mation (LBE) can catch the degree of entanglement of the states and distinguish them, exactly. We, also, investigate the dynamical properties of the entanglement between two identical atoms and the cavity ¯eld in the presence of phase deco- herence. The e®ects of the phase decoherence on the entanglement is obviously displayed. Finally, we also report the results of a study of entanglement dynamics in Jaynes-Cummings Model (JCM) with phase stochastic atom-¯eld interaction parameters. The noise term considered in this work is a phase telegraph noise. We have found that, the mean dwell time T and the phase jump value a deter- mines the time that the entanglement dies out. Also, the temperature dependence of the entanglement is found to be di®erent in the noisy case compared to the non-noisy JCM. Keywords: Entanglement, tensor product, partial trace, entanglement measures, spin-1 Heisenberg model, Jaynes-Cummings model.