Abstract
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.
Highlights
Characterization of quantum entanglement has emerged as a central theme in the study of diverse phenomena ranging from condensed matter physics to issues of quantum gravity and black holes
Interesting issue of determining the entanglement negativity for such bipartite states in a GCFT1þ1. We address this significant issue and establish a construction involving a replica technique similar to that described in Refs. [1,2,13,14], to obtain the entanglement negativity for certain zero and finite temperature bipartite states in a Interestingly, our analysis reproduces the universal features of entanglement negativity for corresponding bipartite states of relativistic CFT1þ1s [6,7,8] in a GCFT1þ1, which strongly validates our construction
In this article, we have obtained the entanglement negativity for various bipartite pure and mixed state configurations in a class of (1 þ 1)-dimensional Galilean conformal field theories. In this context, utilizing a replica technique, we have computed the entanglement negativity for the pure state configurations of a single interval in infinite and finite size systems described by a GCFT1þ1
Summary
Characterization of quantum entanglement has emerged as a central theme in the study of diverse phenomena ranging from condensed matter physics to issues of quantum gravity and black holes. [1,2,3], this quantity may be computed in (1 þ 1)-dimensional relativistic conformal field theories (CFT1þ1) through the above-mentioned replica technique It is well known, in quantum information theory that the entanglement entropy fails to be a viable measure for the characterization of mixed state entanglement as it receives contributions from correlations irrelevant to the entanglement of the mixed state under consideration. V, we present a summary of our work and conclusions
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