Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and<?
format?> superfluidity. This article reviews experimental and theoretical progress in …

Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

The orbital degrees of freedom play a pivotal role in understanding fundamental
phenomena in solid-state materials as well as exotic quantum states of matter including …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Compass models are theories of matter in which the couplings between the internal spin (or
other relevant field) components are inherently spatially (typically, direction) dependent. A …

We study the ground states of cold atoms in the tight-binding bands built from p orbitals on a
two dimensional honeycomb optical lattice. The band structure includes two completely flat …

The successful emulation of the Hubbard model in optical lattices has stimulated extensive
efforts to extend their scope to also capture more complex, incompletely understood …

Topological superfluidity is an important concept in electronic materials as well as ultracold
atomic gases. However, although progress has been made by hybridizing superconductors …

Optical lattices have an important role in advancing our understandingof correlated quantum
matter. The recent implementation of orbital degrees of freedom in chequerboard, and …