Quantum adiabatic protocols using emergent local Hamiltonians

TL;DR

This paper introduces methods using emergent local Hamiltonians to accelerate quantum adiabatic processes in one-dimensional fermionic systems, enabling efficient work extraction and trap transfer at various temperatures.

Contribution

It presents novel protocols leveraging emergent local Hamiltonians to improve the speed and efficiency of quantum adiabatic operations in fermionic lattice systems.

Findings

Maximal work extraction from band-insulating states

Efficient adiabatic transfer from traps into box traps

Protocols applicable at zero and nonzero temperatures

Abstract

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.