Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

We review the physics of pair-density wave (PDW) superconductors. We begin with a
macroscopic description that emphasizes order induced by PDW states, such as charge …

This report addresses topics and questions of common interest in the fields of ultra-cold
gases and nuclear physics in the context of the BCS–BEC crossover. By this crossover, the …

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 quantum condensate of Cooper pairs forming a superconductor was originally
conceived as being translationally invariant. In theory, however, pairs can exist with finite …

We report on the creation of homogeneous Fermi gases of ultracold atoms in a uniform
potential. In the momentum distribution of a spin-polarized gas, we observe the emergence …

Can a gas behave like a crystal? Supersolidity is an intriguing and challenging state of
matter that combines key features of superfluids and crystals. Predicted a long time ago, its …

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

For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

The crossover from weak-coupling Bardeen-Cooper-Schrieffer (BCS) pairing to a Bose-
Einstein condensate (BEC) of tightly bound pairs, as a function of the attractive interaction in …