Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

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 …

Dirac fluids—interacting systems obeying particle–hole symmetry and Lorentz invariance—
are among the simplest hydrodynamic systems; they have also been studied as effective …

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics.
Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion …

Emergence of hydrodynamics in quantum many-body systems has recently garnered
growing interest. The recent experiment of ultracold atoms [JF Wienand et al., Nat. Phys. 20 …

Unless constrained by symmetry, measurement of an observable on an ensemble of
identical quantum systems returns a distribution of values which are encoded in the full …

The classical Landau-Lifshitz equation—the simplest model of a ferromagnet—provides an
archetypal example for studying transport phenomena. In one-spatial dimension …

In the hydrodynamic theory, the non-equilibrium dynamics of a many-body system is
approximated, at large scales of space and time, by irreversible relaxation to local entropy …

We consider the hydrodynamic origin of anomalous current fluctuations in a family of
stochastic charged cellular automata. Using ballistic macroscopic fluctuation theory, we …