Quantum quench dynamics of the Luttinger model

Understand

The dynamics of the Luttinger model after a quantum quench is studied.

• We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa.
• In the former case, the non-interacting Fermi gas features in the momentum distribution and other correlation functions are destroyed as time evolves.
• In the infinite-time limit, equal-time correlations are power-laws but the critical exponents are found to differ from their equilibrium values.