The realization of the Hofstadter model in a strongly anisotropic ladder geometry has now become possible in one-dimensional optical lattices with a synthetic dimension. In this work, we show how the Hofstadter Hamiltonian in such ladder configurations hosts a topological phase of matter which is radically different from its two-dimensional counterpart. This topological phase stems directly from the hybrid nature of the ladder geometry and is protected by a properly defined inversion symmetry. We start our analysis by considering the paradigmatic case of a three-leg ladder which supports a topological phase exhibiting the typical features of topological states in one dimension: robust fermionic edge modes, a degenerate entanglement spectrum, and a nonzero Zak phase; then, we generalize our findings - addressable in the state-of-the-art cold-atom experiments - to ladders with a higher number of legs.
|Titolo:||Topological phases in frustrated synthetic ladders with an odd number of legs|
|Autori:||Barbarino, Simone; Dalmonte, Marcello; Fazio, Rosario; Santoro, Giuseppe E.|
|Data di pubblicazione:||2018|
|Numero di Articolo:||013634|
|Digital Object Identifier (DOI):||10.1103/PhysRevA.97.013634|
|Appare nelle tipologie:||1.1 Journal article|