Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: Cold Atomic Gases

TT 37.7: Talk

Tuesday, April 1, 2014, 11:30–11:45, HSZ 304

Haldane phases of SU(N) spin chains and their realization in ultra-cold atom gases — •Thomas Quella — University of Cologne, Cologne, Germany

The general classification of SU(N) spin chains of Duivenvoorden and Quella predicts the existence of up to N-1 distinct non-trivial topologically protected phases. Each phase is characterized by a specific type of non-local string order and the emergence of fractionalized SU(N) spins at the boundary of the system.

In this talk, we analyze model Hamiltonians of AKLT type in which these phases are realized and discuss their relation to the Heisenberg Hamiltonians that arise as certain limits of suitably chosen Hubbard models. Our results indicate that it should be possible to realize at least one of the non-trivial topological phases in ultra-cold alkaline-earth atom gases if N is even. We also comment on the modifications of the previous Hamiltonians which are required to realize the remaining non-trivial topological phases.