Tunable mode entanglement: topological Su-Schrieffer-Heeger (SSH) chain with an embedded Aharonov-Bohm quantum ring

TL;DR

This paper explores a modified SSH chain with an embedded Aharonov-Bohm quantum ring, demonstrating how magnetic flux can tune the entanglement between edge states, enabling control over quantum entanglement in topological systems.

Contribution

It introduces a novel QR-SSH model where magnetic flux controls edge state entanglement, providing a tunable entanglement switch in topological quantum systems.

Findings

Entanglement between edge modes varies periodically with magnetic flux.

Maximum and minimum entanglement states are achieved at specific flux values.

The system functions as an entanglement modulator or switch.

Abstract

We investigate a variant of the SSH model consisting of an SSH chain with an embedded Aharonov-Bohm quantum ring. The embedded ring gives rise to domain wall states whose energy levels are in the band gap. The dependence of some of the states on the ring's magnetic flux provides a mechanism to control the entanglement between the two SSH edge fermion modes. The concurrence between the edge modes depends periodically on the magnetic flux. In the deep topological zone, for appropriate values of the flux, the concurrence reaches the extreme values of $0$ and $1$, corresponding to vanishing entanglement and to maximum entanglement. Therefore, the QR-SSH system offers a tuning mechanism that can be used either as an entanglement modulator or as an entanglement switch.