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

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.