Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates

We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for noninteracting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudodisorder due to a potential i...

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Detalles Bibliográficos
Autores: Cestari, Jardel Caminha Carvalho, Foerster, Angela, Gusmao, Miguel Angelo Cavalheiro, Continentino, Mucio Amado
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Brasil
Institución:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositorio:Repositório Institucional da UFRGS
Idioma:inglés
OAI Identifier:oai:www.lume.ufrgs.br:10183/104342
Acceso en línea:http://hdl.handle.net/10183/104342
Access Level:acceso abierto
Palabra clave:Condensação Bose-Einstein
Modelo de Anderson
Pontos criticos
Superfluidez
Descripción
Sumario:We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for noninteracting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudodisorder due to a potential incommensurate with the lattice, which is usually called the Aubry-André model. A scaling analysis of numerical data for the superfluid fraction for different lattice sizes allows us to determine quantum critical exponents characterizing the disorder-driven superfluid-insulator transition. We also briefly discuss the effect of interactions close to the noninteracting quantum critical point of the Aubry-André model.