Joshua Jones - Disjoint Region Entanglement Entropy in Causal Set Theory

Talk delivered for the Relativistic Quantum Information-North 2022 Online.

Abstract:
Understanding entanglement entropy in a covariant manner is considered a potential pathway toward a theory of quantum gravity, and entanglement entropy in itself has a broad range of connections to other areas of physics. We investigate the entanglement entropy of a 1+1D scalar field in disjoint intervals within the causal set framework. This involves using a truncation scheme for the spacetime commutator and correlator, the Pauli-Jordan and Wightman functions. We extend existing entanglement entropy calculations to disjoint regions via a new truncation scheme for disjoint causal diamonds, which follows from the single diamond truncation scheme. We then show the results from setups including two and three disjoint causal diamonds, as well as a single causal diamond that shares a boundary with a larger global causal diamond. In all these cases, our results agree with the expected area laws calculated via the continuum theory. The ease of our calculations indicate our methods to be a useful tool for numerically studying such systems. We end with a discussion of some of the strengths and future applications of the spacetime formulation we use in our entanglement entropy computations, both in causal set theory and in the continuum.

Видео Joshua Jones - Disjoint Region Entanglement Entropy in Causal Set Theory канала Barrio RQI