**FM 5-16 https://arxiv.org/abs/1511.01884
(Comm. Math. Phys. http://link.springer.com/article/10.1007/s00220-016-2631-x)**

**Author** : Edwin Langmann,
Joel L. Lebowitz, Vieri Mastropietro, Per Moosavi

**Title: Steady
states and universal conductance in a quenched Luttinger
model**

**Abstract**:* We obtain exact analytical
results for the evolution of a 1+1-dimensional Luttinger
model H_l prepared in a domain wall initial state,
i.e., a state with different densities on its left and right sides. Such an
initial state is modeled as the ground state of a translation invariant Luttinger Hamiltonian with short range non-local
interaction and different chemical potentials to the left and right of the
origin. The system evolves for time t > 0 via a Hamiltonian H_l which differs from H_l’ by
the strength of the interaction. Asymptotically in time, after taking the
thermodynamic limit,the system approaches a
translation invariant steady state. This final steady state carries a current I
and has an effective chemical potential difference between right- (+) and left-
(−) moving fermions obtained from the two-point correlation function. The Landauer conductance for the final state, has a universal
value equal to the conductance quantum.*

**Keywords**: Landauer
conducatance, domain wall, NESS.