  We present two applications of emergent local Hamiltonians to speed up
quantum adiabatic protocols for isolated noninteracting and weakly interacting
fermionic systems in one-dimensional lattices. We demonstrate how to extract
maximal work from initial band-insulating states, and how to adiabatically
transfer systems from linear and harmonic traps into box traps. Our protocols
consist of two stages. The first one involves a free expansion followed by a
quench to an emergent local Hamiltonian. In the second stage, the emergent
local Hamiltonian is "turned off" quasistatically. For the adiabatic transfer
from a harmonic trap, we consider both zero- and nonzero-temperature initial
states.
