Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

TL;DR

This paper presents a fast, robust quantum state transfer method in a topological SSH chain using NNN interactions and counter-adiabatic driving, enhancing resilience against disorder.

Contribution

It introduces a novel protocol combining topological edge state modulation with NNN interactions for rapid, robust quantum state transfer in SSH chains.

Findings

Protocol is highly resilient to uncorrelated disorder.

Spatially correlated disorder further increases robustness.

Demonstrates effective topological pumping across interfaces.

Abstract

We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions, with a fine tuning of NNN interactions operating a counter-adiabatic driving. The latter cancels nonadiabatic excitations from the edge state multiplicity to the energy bands. We use this shortcut technique for topological pumping of edge states on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder, and demonstrate its strong resilience to the former in comparison to traditional adiabatic protocols for topological chains. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.