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 …

Abstract The Bose–Einstein condensate (BEC) is a fascinating state of matter predicted to
occur for particles obeying Bose statistics. Although the BEC has been observed with …

This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Condensed-matter analogues of the Higgs boson in particle physics allow insights into its
behaviour in different symmetries and dimensionalities. Evidence for the Higgs mode has …

This article reviews experimental and theoretical work on Bose-Einstein condensation in
quantum magnets. These magnets are natural realizations of gases of interacting bosons …

A theoretical overview of the phenomenon of spontaneous magnon decays in quantum
antiferromagnets is presented. The intrinsic zero-temperature damping of magnons in …

The discovery of magnetism by the ancient Greeks was enabled by the natural occurrence of
lodestone–a magnetized version of the mineral magnetite. Nowadays, natural minerals …

Quantum states of matter—such as solids, magnets and topological phases—typically
exhibit collective excitations (for example, phonons, magnons and anyons). These involve …

We elucidate the role of magnon interaction and spontaneous decays in the spin dynamics
of the triangular-lattice Heisenberg antiferromagnet by calculating its dynamical structure …

We study the magnetic-field-induced quantum phase transition from a gapped quantum
phase that<? format?> has no magnetic long-range order into a gapless phase in the spin …