TY - UNPB

T1 - Symmetric inseparability and entanglement of charge coherence in number conserving mixed states

AU - Ma, Zhanyu

AU - Han, Cheolhee

AU - Meir, Yigal

AU - Sela, Eran

PY - 2021/10/1

Y1 - 2021/10/1

N2 - We explore sufficient conditions for inseparability in mixed states with
a globally conserved charge. 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 entanglement of charge coherence
(ECC), $\Delta S_m$, 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 ECC is not only a witness of symmetric
inseparability, but also an entanglement monotone in systems with a
conserved charge. Finally, we study the scaling of $\Delta S_m$ in
thermal 1D systems combining high temperature expansion and conformal
field theory.

AB - We explore sufficient conditions for inseparability in mixed states with
a globally conserved charge. 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 entanglement of charge coherence
(ECC), $\Delta S_m$, 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 ECC is not only a witness of symmetric
inseparability, but also an entanglement monotone in systems with a
conserved charge. Finally, we study the scaling of $\Delta S_m$ in
thermal 1D systems combining high temperature expansion and conformal
field theory.

KW - Quantum Physics

KW - Condensed Matter - Mesoscale and Nanoscale Physics

KW - Condensed Matter - Quantum Gases

M3 - Preprint

BT - Symmetric inseparability and entanglement of charge coherence in number conserving mixed states

ER -