Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

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

This book presents in a pedagogical yet complete way correlated systems in one dimension.
Recent progress in nanotechnology and material research have made one dimensional …

This review describes the emerging field of waveguide quantum electrodynamics concerned
with the interaction of photons propagating in a waveguide with localized quantum emitters …

The quantum inverse scattering method is a means of finding exact solutions of two-
dimensional models in quantum field theory and statistical physics (such as the sine-Go …

The short-range, one-band model for electron correlations in a narrow energy band is
solved exactly in the one-dimensional case. The ground-state energy, wave function, and …

The repulsive δ interaction problem in one dimension for N particles is reduced, through the
use of Bethe's hypothesis, to an eigenvalue problem of matrices of the same sizes as the …

The physics of non-equilibrium many-body systems is a rapidly expanding area of
theoretical physics. Traditionally employed in laser physics and superconducting kinetics …

Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …