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

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

A panoply of unconventional electronic states has been observed in moiré superlattices.
Engineering similar bosonic phases remains, however, largely unexplored. We report the …

Spin-exchanging interactions govern the properties of strongly correlated electron systems
such as many magnetic materials. When orbital degrees of freedom are present, spin …

The Hubbard model accounts for many of the diverse phenomena observed in solid-state
materials, despite incorporating only nearest-neighbour hopping and on-site interactions for …

Using ultracold alkaline-earth atoms in optical lattices, we construct a quantum simulator for
U (N) and SU (N) lattice gauge theories with fermionic matter based on quantum link …

The strongly enhanced electron–electron interactions in semiconducting moiré superlattices
formed by transition metal dichalcogenide heterobilayers have led to a plethora of intriguing …

Superconductivity and superfluidity of fermionic and bosonic systems are remarkable many-
body quantum phenomena. In liquid helium and dilute gases, Bose and Fermi superfluidity …

Ultracold polar molecules, with their long-range electric dipolar interactions, offer a unique
platform for studying correlated quantum many-body phenomena. However, realizing a …

We have realized long-lived ground-state polar molecules in a 3D optical lattice, with a
lifetime of up to 25 s, which is limited only by off-resonant scattering of the trapping light …