In this work, we study a coupled system of two V-type atoms interacting with
a dissipative single-mode cavity, which couples with an external environment.
Firstly, in order to diagonalize Hamiltonian of dissipative cavity, we
introduce a set of new creation and annihilation operators according to theorem
Fano. Then, we obtain the analytical solution of this model by solving the time
dependent Schrodinger equation. We also discuss in detail the influences of the
cavity-environment coupling, the SGI parameter, the initial state and the
dipole-dipole interaction between the two atoms on entanglement dynamics. The
results show that, with the SGI parameter increasing, the entanglement will
decay quicker for the initially maximal entangled state but it will decay
slower for the initially partial entangled state. For the initially product
state, the larger the SGI parameter, the more entanglement will be generated.
The strong coupling can protect entanglement to some extent, but the
dipole-dipole interaction can significantly protect entanglement. Moreover, the
dipole-dipole interaction can not only generate entanglement very effectively,
but also enhance the regulation effect of {\theta} on entanglement for the
initially partial entangled and product states.Comment: 10 pages, 9 figure