Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models

TL;DR

This paper demonstrates that in quantum Heisenberg spin glass models, simultaneous independent quenched disorders can enhance multiparty entanglement through a phenomenon called constructive interference, which is absent in single- and two-party observables.

Contribution

It introduces the concept of constructive interference in disordered quantum systems, showing enhancement of multiparty entanglement only when multiple disorders are applied together.

Findings

Disorder-induced enhancement occurs only with simultaneous disorders.

Constructive interference leads to Venus regions of enhanced entanglement.

No enhancement observed for single- and two-party quantities.

Abstract

Disordered systems form one of the centrestages of research in many body sciences and lead to a plethora of interesting phenomena and applications. A paradigmatic disordered system consists of an one-dimensional array of quantum spin-1/2 particles, governed by the Heisenberg spin glass Hamiltonian with natural or engineered quenched disordered couplings in an external magnetic field. These systems allow disorder-induced enhancement for bipartite and multipartite observables. Here we show that simultaneous application of independent quenched disorders results in disorder-induced enhancement, while the same is absent with individual application of the same disorders. We term the phenomenon as constructive interference and the corresponding parameter stretches as the Venus regions. Interestingly, it has only been observed for multiparty entanglement and is absent for the single- and two-party physical quantities.