Entanglement negativity in Galilean conformal field theories

TL;DR

This paper develops a method to compute entanglement negativity in 1+1 dimensional Galilean conformal field theories, revealing universal features similar to those in relativistic conformal field theories.

Contribution

It introduces a replica technique for calculating entanglement negativity in Galilean CFTs, bridging a gap between non-relativistic and relativistic quantum field theories.

Findings

Constructed a replica method for Galilean CFTs

Reproduced universal negativity features of relativistic CFTs

Analyzed bipartite states at zero and finite temperature

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.