Quantum adiabatic protocols using emergent local Hamiltonians

Ranjan Modak; Lev Vidmar; Marcos Rigol

doi:10.1103/physreve.96.042155

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arXiv · 1708.03333

Quantum adiabatic protocols using emergent local Hamiltonians

Ranjan Modak·Lev Vidmar·Marcos Rigol

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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.

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Ranjan Modak, Lev Vidmar, Marcos Rigol. 2017-10-28. Quantum adiabatic protocols using emergent local Hamiltonians. https://doi.org/10.1103/physreve.96.042155

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