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We study work extraction (defined as the difference between the initial andthe final energy) in noninteracting and (effectively) weakly interactingisolated fermionic quantum lattice systems in one dimension, which undergo asequence of quenches and equilibration. The systems are divided in two parts,which we identify as the subsystem of interest and the bath. We extract work byquenching the on-site potentials in the subsystem, letting the entire systemequilibrate, and returning to the initial parameters in the subsystem using aquasi-static process (the bath is never acted upon). We select initial statesthat are direct products of thermal states of the subsystem and the bath, andconsider equilibration to the generalized Gibbs ensemble (GGE, noninteractingcase) and to the Gibbs ensemble (GE, weakly interacting case). We identify theclass of quenches that, in the thermodynamic limit, results in GE and GGEentropies after the quench that are identical to the one in the initial state(quenches that do not produce entropy). Those quenches guarantee maximal workextraction when thermalization occurs. We show that the same remains true inthe presence of integrable dynamics that results in equilibration to the GGE.

Work extraction in an isolated quantum lattice system: Grand canonical and generalized Gibbs ensemble predictions