One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories

TL;DR

This paper investigates the non-equilibrium dynamics of one-dimensional fermionic systems after interaction quenches, revealing that power-law behaviors depend on initial states and exhibit similarities to higher-dimensional systems, highlighting local process dominance.

Contribution

It introduces a novel understanding of quench dynamics in 1D fermionic systems, emphasizing the role of initial states and drawing parallels with infinite-dimensional systems.

Findings

Power-law dynamics depend on initial states and excitation energy.

Exponents differ from fully renormalized low-energy values.

Similarities between 1D and infinite-dimensional systems emerge after quenches.

Abstract

We show that the dynamics of quenches in one dimension far off equilibrium can be described by power laws, but with exponents differing from the fully renormalized ones at lowest energies. Instead they depend on the initial state and its excitation energy. Furthermore, we found that for quenches to strong interactions unexpected similarities between systems in one and in infinite dimensions occur, indicating the dominance of local processes.