Symmetric inseparability and number entanglement in charge conserving mixed states

• URL: http://arxiv.org/abs/2110.09388v3
• Date: Wed, 20 Apr 2022 08:04:10 GMT
• Title: Symmetric inseparability and number entanglement in charge conserving mixed states
• Authors: Zhanyu Ma, Cheolhee Han, Yigal Meir, Eran Sela
• Abstract summary: We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can not be separated into charge conserving components. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone.
• Score: 15.57253296268595
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore sufficient conditions for inseparability in mixed states with a globally conserved charge, such as a particle number. We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can not be separated into charge conserving components. As a witness of symmetric inseparability we study the number entanglement (NE), $\Delta S_m$, defined as the entropy change due to a subsystem's charge measurement. Whenever $\Delta S_m > 0$, there exist inseparable charge sectors, having finite (logarithmic) negativity, even when the full state is either separable or has vanishing negativity. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone. Finally, we study the scaling of $\Delta S_m$ in thermal 1D systems combining high temperature expansion and conformal field theory.

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