Exact diagonalization (ED) techniques are a powerful method for studying many-body
problems. Here, we apply this method to systems of few bosons in an optical lattice, and use …

Engineering topological quantum order has become a major field of physics. Many
advances have been made by synthesizing gauge fields in cold atomic systems. Here we …

We study quantum Hall states for two-component particles (hardcore bosons and fermions)
loading in topological lattice models. By tuning the interplay of interspecies and intraspecies …

We study the many-body ground states of three-component quantum particles in two
prototypical topological lattice models under strong intercomponent and intracomponent …

We study N-component interacting particles (hardcore bosons and fermions) loaded in
topological lattice models with SU (N)-invariant interactions based on exact diagonalization …

The Halperin (m′, m, n) fractional quantum Hall effects of two-component quantum particles
are studied in topological checkerboard lattice models. Here for m≠ m′, we demonstrate …

Motivated by a recent experiment, which synthesizes Landau levels for photons on cones
[Schine, Nature (London) 534, 671 (2016) NATUAS 0028-0836 10.1038/nature17943], and …

While the internal structure of Abelian topological order is well understood, how to
characterize the non-Abelian topological order is an outstanding issue. We propose a …

We investigate a model of hard-core bosons with correlated hop** on the honeycomb
lattice in an external magnetic field by means of a coupled-wire approach. It has been …

We study the interacting bosons in topological Hofstadter bands with Chern number two.
Using exact diagonalization, we demonstrate that the bosonic integer quantum Hall (BIQH) …