Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

The experimental and theoretical research of spin–orbit-coupled ultracold atomic gases has
advanced and expanded rapidly in recent years. Here, we review some of the progress that …

We generalize the Schrieffer-Wolff transformation to periodically driven systems using
Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi …

We study a system of interacting spinless fermions in one dimension that, in the absence of
interactions, reduces to the Kitaev chain [Kitaev, Phys. Usp. 44, 131 (2001) 1468-4780 …

We review recent developments regarding the quantum dynamics and many-body physics
with light, in superconducting circuits and Josephson analogues, by analogy with atomic …

We study the quantum phases of bosons with repulsive contact interactions on a two-leg
ladder in the presence of a uniform Abelian gauge field. The model realizes many …

We demonstrate that ultracold symmetric top molecules loaded into an optical lattice can
realize highly tunable and unconventional models of quantum magnetism, such as an XYZ …

While different ways to realize spin-orbit coupling in Bose-Einstein condensates exist, not all
are currently experimentally implementable. Here we present a detailed study of gap …

We study hard core bosons on a two-leg ladder lattice under the orbital effect of a uniform
magnetic field. At densities which are incommensurate with flux, the ground state is a …

Recent experiments in ultracold atoms and photonic analogs have reported the
implementation of artificial gauge fields in lattice systems, facilitating the realization of …