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We explore sufficient conditions for inseparability in mixed states with aglobally conserved charge, such as a particle number. We argue that evenseparable states may contain entanglement in fixed charge sectors, as long asthe state can not be separated into charge conserving components. As a witnessof symmetric inseparability we study the number entanglement (NE), $\DeltaS_m$, defined as the entropy change due to a subsystem's charge measurement.Whenever $\Delta S_m > 0$, there exist inseparable charge sectors, havingfinite (logarithmic) negativity, even when the full state is either separableor has vanishing negativity. We demonstrate that the NE is not only a witnessof symmetric inseparability, but also an entanglement monotone. Finally, westudy the scaling of $\Delta S_m$ in thermal 1D systems combining hightemperature expansion and conformal field theory.

Symmetric inseparability and number entanglement in charge conserving mixed states