Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport

TL;DR

This paper demonstrates that enhanced shortcuts to adiabaticity (eSTA) improve both fidelity and stability in quantum lattice transport compared to traditional STA methods, through numerical simulations.

Contribution

The authors extend STA to eSTA, showing improved stability and fidelity in quantum control of lattice transport systems.

Findings

eSTA achieves higher fidelity than STA.

eSTA remains more stable against errors.

Numerical simulations confirm improved robustness.

Abstract

Shortcuts to adiabaticity (STA) are a collection of quantum control techniques that achieve high fidelity outside of the adiabatic regime. Recently an extension to shortcuts to adiabaticity was proposed by the authors [Phys. Rev. Research 2, 023360 (2020)]. This new method, enhanced shortcuts to adiabaticity (eSTA), provides an extension to the original STA control functions and allows effective control of systems not amenable to STA methods. It is conjectured that eSTA schemes also enjoy an improved stability over their STA counterparts. We provide numerical evidence of this claim by applying eSTA to fast atomic transport using an optical lattice, and evaluating appropriate stability measures. We show that the eSTA schemes not only produce higher fidelities, but also remain more stable against errors than the original STA schemes.