This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi
gases with emergent SU (N) symmetry. Emphasis is placed on describing the ground …

We present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

Symmetry plays a fundamental role in understanding complex quantum matter, particularly
in classifying topological quantum phases, which have attracted great interests in the recent …

Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU (N)-
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …

We ask whether a local Hamiltonian with a featureless (fully gapped and nondegenerate)
ground state could exist in certain quantum spin systems. We address this question by …

We study the entanglement spectrum of topological systems hosting non-Abelian anyons.
Akin to energy levels of a Hamiltonian, the entanglement spectrum is composed of symmetry …

We apply field theory methods to SU (3) chains in the symmetric representation, with p
boxes in the Young tableau, map** them into a flag manifold nonlinear σ-model with a …

This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …