  We investigate a possible scheme for entangling two mode thermal fields
through the quantum erasing process, in which an atom is coupled with two mode
fields via the interaction governed by the two-mode two-photon Jaynes-Cummings
model. The influence of phase decoherence on the entanglement of two mode
fields is discussed. It is found that quantum erasing process can transfer part
of entanglement between the atom and fields to two mode fields initially in the
thermal states. The entanglement achieved by fields heavily depends on their
initial temperature and the detuning. The entanglement of stationary state is
also investigated.
