title: Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models.
abstract: In this work we study a one-dimensional lattice of Lipkin-Meshkov-Glick models with alternating couplings between nearest-neighbors sites, which resembles the Su-Schrieffer-Heeger model. Typical properties of the underlying models are present in our semiclassical-topological hybrid system, allowing us to investigate an interplay between semiclassical bifurcations at mean-field level and topological phases. Our results show that bifurcations of the energy landscape lead to diverse ordered quantum phases. Furthermore, the study of the quantum fluctuations around the mean-field solution reveals the existence of nontrivial topological phases. These are characterized by the emergence of localized states at the edges of a chain with free open-boundary conditions.
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: A V
authors.initials: AV
authors.lastname: Sorokin
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Aparicio Alcalde
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.|Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore.
authors.forename: V M
authors.initials: VM
authors.lastname: Bastidas
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: G
authors.initials: G
authors.lastname: Engelhardt
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore.|School of Electronic and Computer Engineering, Technical University of Crete, Chania, Crete, 73100 Greece.
authors.forename: D G
authors.initials: DG
authors.lastname: Angelakis
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Brandes