Entanglement of Indistinguishable Particles Shared between Two Parties

Using an operational definition we quantify the entanglement, E₏, between two parties who share an arbitrary pure state of N indistinguishable particles. We show that E₏E₌, where E₌ is the bipartite entanglement calculated from the mode-occupation representation. Unlike E₌, E₏ is superadditive. For example, E₏=0 for any single-particle state, but the state |1⟩|1⟩, where both modes are split between the two parties, has E₏=1/2. We discuss how this relates to quantum correlations between particles, for both fermions and bosons.