Interaction-induced lattices for bound states: Designing flat bands, quantized pumps, and higher-order topological insulators for doublons
G. Salerno, G. Palumbo, N. Goldman, M. Di Liberto
Abstract
The authors show that, in the presence of long ranged interactions, the center of mass of bound systems with interactions defines a distinct lattice with respect to the one experienced by noninteracting particles. As a consequence, topological and geometrical effects emerge and the paper explores several scenarios including localization, Berry phases and topological bands.
Topics & Concepts
Topological insulatorPhysicsLattice (music)Topology (electrical circuits)Theoretical physicsGeometric phaseBound stateUpper and lower boundsMathematicsTopological orderTopological entropy in physicsQuantum mechanicsTopological Materials and PhenomenaCold Atom Physics and Bose-Einstein CondensatesQuantum many-body systems