Visualizing quasiparticles from quantum entanglement for general one-dimensional phases

In this paper, we present a quantum information framework for the entanglement behavior of low-energy quasiparticle (QP) excitations in various phases one-dimensional (1D) systems. We first establish an exact correspondence between correlation matrix and QP Hamiltonian free fermions find extended in-gap state as consequence position uncertainty QP. A more general understanding such can be to Kramers theorem Hamiltonian, which also applies strongly interacting Further, set ubiquitous spectrum features, dubbed fragmentation, conditional mutual information, measurement-induced nonlocal QPs 1D symmetry protected topological phases. Our result thus provides another identify different matter terms their entanglement.