In the past decade, a two-dimensional matter-light system called the microcavity exciton-
polariton has emerged as a new promising candidate of Bose-Einstein condensation (BEC) …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

Anderson localization of waves in disordered media was originally predicted fifty years ago,
in the context of transport of electrons in crystals. The phenomenon is much more general …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

The bulk–boundary correspondence, a fundamental principle relating the topological
invariants of the bulk to the presence of edge states, is modified in periodically driven …

We have performed a number of experiments with a Bose-Einstein condensate (BEC) in a
one-dimensional optical lattice. Making use of the small momentum spread of a BEC and …

The effect of quantum statistics in quantum gases and liquids results in observable collective
properties among many-particle systems. One prime example is Bose–Einstein …

In the present work we demonstrate how to realize a 1D closed optical lattice experimentally,
including a tunable boundary phase twist. The latter may induce “persistent currents,” visible …