Time Ordering Effects and Destruction of Quasiparticles in Two-dimensional Holographic CFTs

TL;DR

This paper explores how time ordering affects entanglement and correlations in 2D holographic CFTs, revealing the impact of quasiparticle decay and energy distribution on late-time quantum behaviors.

Contribution

It demonstrates the influence of Euclidean and Lorentzian time ordering on entanglement dynamics and establishes a relation between entanglement entropy and energy-momentum densities in holographic CFTs.

Findings

Time ordering significantly impacts bipartite entanglement and correlations.

Late-time entanglement behavior depends on energy distribution.

Decay of quasiparticles affects entanglement and non-local correlations.

Abstract

In this paper, we investigate the entanglement dynamics induced by a composite operator, defined as the local operator evolved with the time evolution operator constructed of the Euclidean and Lorentzian ones. The systems under consideration are described by two-dimensional holographic conformal field theories (2d holographic CFTs), the theories described by gravity. Then, we find that the time ordering of Euclidean and Lorentzian time evolutions affects the behavior of bipartite entanglement and non-local correlation, especially their late-time ones. We also establish the relation between entanglement entropy and energy-momentum densities. This relation states that the late-time behaviors of bipartite entanglement and non-local correlation strongly depend on the energy distribution. We also examine how the decay of the quasiparticle influences the bipartite entanglement and non-local correlation. Furthermore, we investigate the gravity dual of the systems considered in this paper.