A fundamental principle of chaotic quantum dynamics is that local subsystems eventually
approach a thermal equilibrium state. The corresponding timescales increase with …

We present the first exact solution for the time-dependent equations of the macroscopic
fluctuation theory (MFT) for the symmetric simple exclusion process by combining a …

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 investigate the full counting statistics of charge transport in U (1)-symmetric random
unitary circuits. We consider an initial mixed state prepared with a chemical potential …

Conserved-charge densities are very special observables in quantum many-body systems
as, by construction, they encode information about the dynamics. Therefore, their evolution …

Recent studies have found that fluctuations of magnetization transfer in integrable spin
chains violate the central limit property. Here, we revisit the problem of anomalous counting …

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 …

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 …

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 …

We consider the quantum reaction-diffusion dynamics in d spatial dimensions of a Fermi gas
subject to binary annihilation reactions A+ A→∅. These systems display collective …