Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

An overview of the physics of spinor and dipolar Bose–Einstein condensates (BECs) is
given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited …

In this article, we review developments in the theory of rapidly rotating degenerate atomic
gases. The main focus is on the equilibrium properties of a single-component atomic Bose …

Many trial wave functions for fractional quantum Hall states in a single Landau level are
given by functions called conformal blocks, taken from some conformal field theory. Also …

It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …

The dichotomy between fermions and bosons is at the root of many physical phenomena,
from metallic conduction of electricity to super-fluidity, and from the periodic table to coherent …

We formulate a theory of non-Abelian fractional quantum Hall states by considering an
anisotropic system consisting of coupled, interacting one-dimensional wires. We show that …

We investigate transitions between topologically ordered phases in two spatial dimensions
induced by the condensation of a bosonic quasiparticle. To this end, we formulate an …

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 …