Taming identical particles for discerning the genuine non-locality.

This work provides a comprehensive method to analyze the entanglement between subsystems generated by identical particles that preserves superselection rules (SSR), i.e., particle number SSR (NSSR) for bosons and parity SSR (PSSR) for fermions. Contrary to the common belief that the quantification of identical particles' entanglement needs some special techniques, it can be treated in a fundamentally equivalent manner to the non-identical particles' entanglement, which is achieved by the combination of symmetric/exterior algebra (SEA) and microcausality. We also show that the total Hilbert space of identical particles is factorized according to the local distribution of subsystems. This formal correspondence between identical and non-identical particle systems turns out very useful to quantify the non-locality generated by identical particles, such as the maximal Bell inequality violation and the GHJW theorem of identical particles.