Abstract: In this thesis, we firstly introduce the basic concept of the interaction between the field and the substance, the canonical quantization of the electromagnetic field, the Hamiltonian of the field interacting with the substance, dipole-dipole interaction between the atoms, the Kerr effect and so on. Based on the above basic theories and by means of the complete quantum theory and begin with the Hamiltonian of the field interacting with the atom, the evolution properties of the field quantum entropy are discussed in the system of the two-level atom interacting with the single-mode or the double-mode light field. And, the properties of the field quantum entropy evolution are discussed in the system of the two-level atom interacting with the squeezed displaced Fock states field. Our attention is paid more on the influence of the initial state and the mean photon number on the evolution properties of the field quantum entropy. Otherwise, the properties of the field quantum entropy evolution are discussed in the system of two coupled atoms interacting with the double-mode light field with Kerr medium, in which the influence of the initial mean photon number,the coupled intensity of dipole-dipole interacting between the two coupled atoms,the coupled intensity of the field interacting with the atoms and the coupled constant of the Kerr medium interacting with the two-mode field on the evolution properties of the field quantum entropy are discussed…

Key words: quantum entropy theory; quantum field entrory; entropy evolution ; Squeezed Displaced Fock States; entropy squeezing

# Study on Evolution Properties of Quantum Field-entropy in System of Atom Interacting with Nonclassical Light-field

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