# The fate of quantum shock waves at late times

## TL;DR

This paper investigates how quantum shock waves in fermionic many-body systems evolve and decay over time, especially when weak interactions are present, extending understanding from free to interacting systems.

## Contribution

It generalizes the study of quantum shock waves from free fermions to include weak interactions, analyzing their decay and shape evolution at late times.

## Key findings

- Shock waves decay and change shape due to interactions
- Weak interactions cause shock wave broadening
- Results extend understanding of hydrodynamics in quantum systems

## Abstract

Shock waves are an ubiquitous feature of hydrodynamic theories. Given that fermionic quantum many-body systems admit hydrodynamical descriptions on length scales large compared to the Fermi wavelength, it is natural to ask what the status of shock waves is in such systems. Free fermions provide a solvable yet non-trivial example, and here we generalise to include generic (non-integrable) weak interactions to understand how a shock wave decays and changes its shape well after forming.