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

Journal Article · Thu May 05 00:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1928867· OSTI ID:20718888

Porras, D; Cirac, J I ^[1]

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1. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Str. 1, Garching, D-85748 (Germany)

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.

• OSTI ID: 20718888
• Journal Information: AIP Conference Proceedings, Vol. 770, Issue 1; Conference: ICAP 2004: 19. international conference on atomic physics, Rio de Janeiro (Brazil), 25-30 Jul 2004; Other Information: DOI: 10.1063/1.1928867; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
BOSE-EINSTEIN CONDENSATION
HUBBARD MODEL
INTERACTIONS
LASERS
MANY-BODY PROBLEM
PHASE TRANSFORMATIONS
PHONONS
STANDING WAVES
SUPERFLUIDITY
TRAPS