The spin–orbit coupling with bosons gives rise to novel properties that are absent in usual
bosonic systems. Under very general conditions, the conventional ground state …

A simple physical realization of an integer quantum Hall state of interacting two dimensional
bosons is provided. This is an example of a symmetry-protected topological (SPT) phase …

We investigate the feasibility of many candidate quantum Hall states for two-component
bosons in the lowest Landau level. We identify interactions for which spin-singlet …

We study two-component (or pseudospin-1/2) Bose gases in a strong synthetic magnetic
field. Using exact diagonalization, we show that a bosonic analog of an integer quantum …

In two dimensions strongly interacting bosons in a magnetic field can form an integer
quantum Hall state. This state has a bulk gap, no fractional charges or topological order in …

The construction of fractional quantum Hall (FQH) states from the two-dimensional array of
quantum wires provides a useful way to control strong interactions in microscopic models …

At present, great effort is spent on the experimental realization of gauge fields for quantum
many-body systems in optical lattices. At the same time, the single-site-resolved detection of …

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 …

Using the density-matrix renormalization group algorithm (DMRG) and a finite-size scaling
analysis, we study the properties of the one-dimensional completely anisotropic spin-1/2 …

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 …