Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions

Understand

Recent exact solutions of the 1D Kardar-Parisi-Zhang equation make use of the 1D integrable Lieb-Liniger model of interacting bosons.

• For flat initial conditions, it requires the knowledge of the overlap between the uniform state and arbitrary exact Bethe eigenstates.
• The same quantity is also central in the study of the quantum quench from a 1D non-interacting Bose-Einstein condensate upon turning interactions.
• We compare recent advances in both domains, i.e.