One-dimensional fermionic systems after interaction quenches and their   description by bosonic field theories
  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. 
Simone A. Hamerla and G\"otz S. Uhrig
cond-mat.str-el cond-mat.quant-gas quant-ph