Many experimentally relevant quantum spin chains are approximately integrable, and
support long-lived quasiparticle excitations. A canonical example of integrable model of …

We review recent progress in understanding nearly integrable models within the framework
of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved …

We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

Introducing a class of SU (2) invariant quantum unitary circuits generating chiral transport,
we examine the role of broken space-reflection and time-reversal symmetries on spin …

We introduce and study a novel class of classical integrable many-body systems obtained
by generalized TT¯ deformations of free particles. Deformation terms are bilinears in …

We introduce a new universal framework describing fluctuations and correlations in
quantum and classical many-body systems, at the Euler hydrodynamic scale of space and …

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

One-dimensional Bose gases with contact repulsive interactions are characterized by the
presence of infinite-lifetime quasiparticles whose momenta are called the “rapidities.” Here …

We investigate dynamical fluctuations of transferred magnetization in the one-dimensional
lattice Landau-Lifshitz magnet with uniaxial anisotropy, representing an emblematic model …

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body
systems, quantum or classical. It is a gradient series expansion, where different orders of …