Using smearing of equilibrium lattice fields generated at finite temperature in the confined phase of SU(2) lattice gauge theory, we have investigated the emerging topological objects (clusters of topological charge). Analysing their monopole content according to the Polyakov gauge and the maximally Abelian gauge, we characterize part of them to correspond to nonstatic calorons or static dyons ...

The primordial quantum logic, the projection lattice of a Hilbert space, carries a rich topological and covariant structure. We might reasonably wish to equip abstract quantum logics – orthomodular lattices and posets, orthoalgebras, etc. – with similar structure. Topological OMLs (TOMLs) have already been studied in the literature, but the projection lattice of a Hilbert space is not a TOML: r...

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional Z(2) topological insulators and has a remarkable macroscopic zero-energy flat band. To probe its property, we show that its characteristic surface states--t...