RT Book, Section T1 Superfluid–Mott insulator transition and Bose–Einstein Condensation of phonons in ion traps A1 Porras Torres, Diego A1 Cirac, J. Ignacio AB 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. PB Amer Inst Physics SN 0-7354-0255-8 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/53585 UL https://hdl.handle.net/20.500.14352/53585 LA eng NO © 2015 Amer Inst Physics.International Conference on Atomic Physics (19. 2004. Rio de Janeiro, Brasil).Work supported by the European projects CONQUEST, RESQ and TOPQIP, andthe Kompetenznetzwerk Quanteninformationsverarbeitung der Bayerischen Staatsregierung NO CONQUEST NO RESQ NO TOPQIP NO Kompetenznetzwerk Quanteninformationsverarbeitung der Bayerischen Staatsregierung DS Docta Complutense RD 11 may 2025