We study the interaction between a single-mode quantized field
and a quantum system composed of two qubits. We suppose that two qubits
initially be prepared in the mixed and separable state, and study
how entanglement between two qubits arises in the course of
evolution according to the Jaynes–Cummings type interaction with
nonclassical radiation field. We also investigate the relation
between entanglement and purity of qubit subsystem. We show that
different photon statistics have
different effects on the dynamical behavior of the qubit subsystem.
When the qubits are initially prepared in the maximally mixed and
separable state, for coherent state field we cannot find
entanglement between two qubits; for squeezed state field
entanglement between two qubits exists in several short period of time; for even
and odd coherent state fields of large photon number, the dynamical
behavior of the entanglement between two qubits shows collapse
and revival phenomenon. For odd coherent state field of small
photon number, the entanglement with both qubits
initially prepared in maximally mixed state can be stronger than that
with both qubits initially prepared in pure states. For fields of
small photon number, the entanglement strongly
depends on the states they are initially prepared in. For coherent
state field, and odd and even coherent state fields of large photon
number, the entanglement only depends on the purity of the initial
state of qubit subsystem. We also show that during the evolution
the unentangled state may be purer than the entangled state, and
the maximum degree of entanglement may not occur at the time when
the qubit subsystem is in the purist state.