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 …

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

We demonstrate the experimental implementation of an optical lattice that allows for the
generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms …

Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

Artificial gauge fields are currently realized in a wide range of physical settings. This
includes solid-state devices but also engineered systems, such as photonic crystals …

We present a universal method to create a tunable, artificial vector gauge potential for
neutral particles trapped in an optical lattice. The necessary Peierls phase of the hop** …

This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the
theory and applications of path integrals. It is the first book to explicitly solve path integrals of …

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

Magnetism plays a key role in modern science and technology, but still many open
questions arise from the interplay of magnetic many-body interactions. Deeper insight into …

We use Raman-assisted tunneling in an optical superlattice to generate large tunable
effective magnetic fields for ultracold atoms. When hop** in the lattice, the accumulated …