Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices

We analyze the dynamics of two strongly interacting fermions moving in two-dimensional lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon. We derive an effective Hamiltonian that allow...

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Detalles Bibliográficos
Autores: Bello, M., Creffield, Charles, Platero, G.
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/17790
Acceso en línea:https://hdl.handle.net/20.500.14352/17790
Access Level:acceso abierto
Palabra clave:538.9
Optical Lattices
Transport
Networks
Walks
Model
Física de materiales
Física del estado sólido
2211 Física del Estado Sólido
Descripción
Sumario:We analyze the dynamics of two strongly interacting fermions moving in two-dimensional lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon. We derive an effective Hamiltonian that allows us to understand the interplay between the interaction and the driving, revealing surprising effects that constrain the movement of the doublons. We show that it is possible to confine doublons to just the edges of the lattice and to a particular sublattice if different sites in the unit cell have different coordination numbers. Contrary to what happens in one-dimensional systems, here we observe the coexistence of both topological and Shockley-like edge states when the system is in a nontrivial phase.