Abstract: In this thesis, two kind of quantum properties in single mode q-deformed light field andΕ-type three-level atom interacting system and single mode q-deformed light field andΕ-type three-level atom intensity-dependent coupling system are investigated.Under the condition of rotating-wave approximation and resonance, photon anti-bunching effects and atomic dipole squeezing effects of the two systems are discussed.Unlike the initial field average photon value's linear influence, the increasing of deformation parameter q causes a nonlinear increasing of the photon number operator. For the curve of these quantum properties is comprised by some different oscillations. Deformation parameter q adjusts the frequency and amplitude of these oscillations. The superposition of these adjusted oscillations shows the influence of deformation parameter q on these quantum properties:1. With the increasing of deformation parameter q, those two quantum properties decrease or disappear in the mass.2. A small increasing of deformation parameter q can ameliorates the periodicity of the quantum properties in single mode q-deformed light field andΕ-type three-level atom interacting system and make it worse in q-deformed light field andΕ-type three-level atom intensity-dependent coupling system.3. A small increasing of deformation parameter q can enhance the quantum properties partially. 4. A small increasing of deformation parameter q can increase the rate of quantum properties' occurring…

Key words: q-deformed light field; Ξ-type three-level atom; intensity-dependent coupling; anti-bunching effect dipole squeezing effect

# Quantum Properties in Two Kind of q-Deformed Light Field and (?)-Type Three-Level Atom Coupling Systems

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