Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays

Details Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays

2003-02-05

arxiv.org/abs/cond-mat/0302104v2

Phys.Rev.B69:214501,2004

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 12 EPS figures

Scientific paper

10.1103/PhysRevB.69.214501

We discuss real-space lattice models equivalent to gauge theories with a discrete non-Abelian gauge group. We construct the Hamiltonian formalism which is appropriate for their solid-state physics implementation and outline their basic properties. The unusual physics of these systems is due to local constraints on the degrees of freedom which are variables localized on the links of the lattice. We discuss two types of constraints that become equivalent after a duality transformation for Abelian theories but are qualitatively different for non-Abelian ones. We emphasize highly nontrivial topological properties of the excitations (fluxons and charges) in these non-Abelian discrete lattice gauge theories. We show that an implementation of these models may provide one with the realization of an ideal quantum computer, that is the computer that is protected from the noise and allows a full set of precise manipulations required for quantum computations. We suggest a few designs of the Josephson-junction arrays that provide the experimental implementations of these models and discuss the physical restrictions on the parameters of their junctions.

Affiliated with

Also associated with

No associations

Rating

Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269056