Entropy of Quantum Systems with Linear Dissipation

Vyacheslav Sergeevich Kirchanov

Ronit Mahapatra

Yang Xiao-ming

Based on quantum theory, an investigation is conducted on the evolution characteristics of linear entropies of 1) atoms, 2) two cavities and 3) atom-cavity system in the interaction process of two entangled dissipative cavities and a single two-level atom which runs through one of cavities. The effect of the dissipative constant and the coupling strength of interaction between atom and cavity field on all three linear entropies is discussed for the resonant case.The results show that all three linear entropies strongly depend on the dissipative constant of cavity and the coupling strength between cavity field and atoms. Furthermore, the dissipative constant and the strength of interaction between atoms and cavity field affect not only the amplitude of the oscillation of field quantum entropy evolution but also its periodicity.

Zheng Tai-Yu

In this paper,by using J-C model and the density operator theory in interaction picture,the evolution features of linear entropy were studied in the system of two two-level Rydberg atom and two entangled dissipative cavities with single-photon resonant interaction.The derivation was done of the linear entropy formula of a single atom,a single cavity,as well as two atoms,two cavities,and analyzed how the cavity dissipation coefficients and the atom-cavity interaction coupling coefficient influenced the oscillation model and the evolution period of linear entropies.The evolution periods of all linear entropies are inversely proportional to the constant g,the cavity dissipation constants k1 and k2 influence the modes and the periods of the linear entropies' evolution.

Göran Lindblad

Noboru Watanabe