# Per Moosavi: Non-local Luttinger model out of equilibrium: Exact results and emergence of generalized hydrodynamics

Date: 2. 3. 2020

Source: Mathematical physics seminar

Source: Mathematical physics seminar

Torek 3.3.2020, 13:15h, Kuščerjev seminar, Jadranska 19.

The Luttinger model with finite-range interactions is an exactly
solvable model in 1+1 dimensions somewhere between conformal and
Bethe-ansatz integrable ones. I will show how exact analytical results
can be computed for the time evolution of this non-local Luttinger model
following an inhomogeneous quench from initial states defined by smooth
temperature and chemical-potential profiles. These results demonstrate
that the finite-range interactions give rise to dispersive effects that
are not present in the conformal case of point-like interactions.
Combing the same methods with the recent proposal of generalized
hydrodynamics, one finds that this model allows for fully explicit yet
non-trivial solutions of the resulting Euler-scale hydrodynamic
equations. These results are shown to emerge from the exact analytical
ones at the relevant time and length scales. As such, the non-local
Luttinger model provides a simple tractable example to analytically
study the emergence of hydrodynamics in a quantum many-body system.