We obtain the entanglement negativity for various bipartite zero and finite temperature pure and mixed state configurations in a class of (1 + 1)-dimensional Galilean conformal field theories. In this context we establish a construction for computing the entanglement negativity for such bipartite states involving a suitable replica technique. Our construction exactly reproduces certain universal features observed for entanglement negativity of corresponding states in relativistic (1 + 1)-dimensional conformal field theories. *
We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in (1 + 1) dimensional conformal field theories (C FT 1+1) dual to bulk non static Ad S 3 geometries. Application of our proposal to such mixed states in a C FT 1+1 dual to bulk non extremal and extremal rotating BTZ black holes exactly reproduces the replica technique results in the large central charge limit. We also investigate the time dependent holographic entanglement negativity for such mixed states in a C FT 1+1 dual to a bulk Vaidya-Ad S 3 geometry in the context of their thermalization involving bulk black hole formation.
We investigate the application of a holographic entanglement negativity construction to bipartite states of single subsystems in CF T d s with a conserved charge dual to bulk AdS d+1 geometries. In this context, we obtain the holographic entanglement negativity for single subsystems with long rectangular strip geometry in CF T d s dual to bulk extremal and non-extremal Reissner-Nordström (RN)-AdS d+1 black holes. Our results demonstrate that the holographic entanglement negativity involves the subtraction of the thermal entropy from the entanglement entropy confirming earlier results. This conforms to the characterization of entanglement negativity as the upper bound on the distillable entanglement in quantum information theory and constitutes an important consistency check for our higher dimensional construction.
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