منابع مشابه
Non-abelian Vortex and Confinement
We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here G = SU(N), SO(N), USp(2N)) in the Higgs phase. The sources of such vortices carry “fractional” quantum numbers such as Zn charge (for SU(N)), but also full non-Abelian charges of the dual gauge group. If such a model is re-interpreted as an effective dual magnetic theory of the ...
متن کاملVortex Dynamics in Non–Abelian Spin Models
We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are not responsible for the phase transition contrary to the diagonal vortices. A generalization of the abelian projection approach to SU(N) spin models is brie...
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We discuss the abelian vortex dynamics in the abelian projection approach to non-abelian spin models. We show numerically that in the three-dimensional SU(2) spin model in the Maximal Abelian projection the abelian off-diagonal vortices are not responsible for the phase transition contrary to the diagonal vortices. A generalization of the abelian projection approach to SU(N) spin models is brie...
متن کاملEmulating non-Abelian topological matter in cold-atom optical lattices
Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian ...
متن کاملCreation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices.
Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. We show how to simulate the creation and manipulation of Abel...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2018
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.97.076003