Superfluid–Mott insulator transition and Bose–Einstein Condensation of phonons in ion traps

We show that transverse phonons in a set of trapped ions under the action of lasers are described by a Bose-Hubbard model whose parameters can be externally adjusted. The hopping of the phonons between different phonons is provided by the Coulomb interaction. On the other hand, the nonlinear terms i...

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Detalles Bibliográficos
Autores: Porras Torres, Diego, Cirac, J. Ignacio
Tipo de recurso: capítulo de libro
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/53585
Acceso en línea:https://hdl.handle.net/20.500.14352/53585
Access Level:acceso abierto
Palabra clave:53
Quantum dynamics
Plasmas
States
Atoms
Gas
Física (Física)
22 Física
Descripción
Sumario:We show that transverse phonons in a set of trapped ions under the action of lasers are described by a Bose-Hubbard model whose parameters can be externally adjusted. The hopping of the phonons between different phonons is provided by the Coulomb interaction. On the other hand, the nonlinear terms in the interaction of the ions with a standing-wave provide us with the phonon-phonon interaction. We investigate the possibility of observing several quantum many-body phenomena, including (quasi) Bose-Einstein Condensation as well as a superfluid-Mott insulator quantum phase transition.