Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems

Understand

We derive an exact formula for the scaled cumulant generating function of the time-integrated current associated to an arbitrary ballistically transported conserved charge.

• Our results rely on the Euler-scale description of interacting, many-body, integrable models out of equilibrium given by the generalized hydrodynamics, and on the large deviation theory.
• Crucially, our findings extend previous studies by accounting for inhomogeneous and dynamical initial states in interacting systems.
• We present exact expressions for the first three cumulants of the time-integrated current.