Immortal quantum correlation in quasiperiodic quasi-1D system

TL;DR

This paper reveals that quasiperiodic quasi-1D systems can sustain long-range, temperature-robust quantum correlations called immortal interactions, challenging the typical decay of correlations in most physical systems.

Contribution

It demonstrates the existence of immortal long-range interactions in quasiperiodic quasi-1D systems, enabling stable entanglement over long distances at finite temperatures.

Findings

Discovery of immortal long-range interactions in Fibonacci chains

Stable entanglement persists over long distances and temperatures

Unconventional logarithmic entanglement scaling observed

Abstract

The prevailing view on long-range correlations is that they typically attenuate uniformly with distance and temperature, as most interactions either exhibit short-range dominance or decay following a power law. In contrast to this belief, this study demonstrates that the intricate interplay between quasiperiodicity and the quasi-1D nature of subbands can result in strong long-range coupling without attenuation, a phenomenon referred to as an immortal interaction. Exemplifying a periodically stacked Fibonacci chain, we uncover an immortal interaction with greatly enhanced, persistent long-range coupling. Using negativity, it is shown that this interaction creates stable entanglement that endures over long distances and remains robust at finite temperatures. Additionally, unconventional logarithmic scaling entanglement is revealed, deviating from the traditional area law. These findings offer quasiperiodic quasi-1D systems as a novel platform for sustaining stable entanglement across exceptionally long distances, even in the presence of finite temperature effects.