Multipartite quantum eraser in cavity QED

We propose a feasible experiment in the context of cavity QED as follows: The initial state is a maximally entangled two cavity mode (${M}_{A}$, ${M}_{B}$). Next a sequence of atoms are sent, one at a time, and interact with mode ${M}_{B}$. We show that the which-way information is initially stored only in ${M}_{B}$ is now distributed among the parties of the global system. The results realize known complementarity relations derived in the context of arbitrary qubits. We show that this dynamics may lead to a quantum eraser phenomenon provided that measurements of the probe atoms are performed in a basis which maximizes the visibility.