Time ordering effects and destruction of quasiparticles in two-dimensional holographic CFTs

A bstract 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 out 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 determines whether the time evolution, inducing the operator growth, is unitary. We also establish the relation between entanglement entropy and energy densities. This relation provides the entanglement entropy as a function of those densities. By exploiting this relation, we find that the time ordering, i.e., whether the time evolution is unitary, determines the late-time behavior of bipartite entanglement and non-local correlation. We also investigate 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.