Atom-alan etkileşimlerinde dolaşıklık dinamiği

In this thesis, the dynamical properties of quantumentanglement of two-level atom(s) to cavity field(s) interactionsunder random phase telegraph noise are studied. Thetwo-level atom is best suited to the Jaynes-Cummings model for atomto field, atom to atom and field to field entanglement configurationof the systems. The noise in this model is introduced from severalmechanisms existed inside the system. We have analytically computedthe time evolution of systems of atom-field interaction in thepresence of random phase telegraph noise, and revealed the expliciteffects of this noise on entanglement dynamics of the interaction.For certain situations, we have, for the first time,obtained exact solutions by using the Burshtein equation which isapplicable to only semi-classical systems like atom-laserinteractions. Therefore, a new method for the exact solution of themodel is proposed. The special interest is on random phase telegraphnoise because, it is a type of noise that is not due to surroundingenvironmental effect but rather, it is completely due to stochasticbehavior of the system itself. There is an intrinsic stochasticityin the system. Consequently, there is no energy dissipation in theatom-field system. Thus, all considered configurations of thesystems are closed quantum mechanical systems. However, there isdecoherence in quantum state of these systems which makes itvaluable to study for such physical systems. Our calculation resultson these systems revealed another type of intrinsicdecoherence in these systems resulting decoherence effects onentanglement dynamics of the system. Due to the strength of thenoise: (1) a non-monotonic behavior of entanglementand (2) a constructive noise contribution toentanglement are observed. In addition to these, we have a smallinvestigation of the effects of the random frequencytelegraph noise on these interactions. We observed that this typeof random telegraph noise displays similar effects on theentanglement as in the phase telegraph noise. Therefore, we restrictourselves on working the random phase telegraph noise to understandthe effects in atom-field interactions. Finally, we have revised theentanglement properties of the Jaynes-Cummings model by taking thenonlinearity effects into account. We have examined thenon-vanishing property of the entanglement of theinteraction to find out thelimits of temperature in the control of the entanglement dynamics.