Immortal quantum correlation in quasiperiodic quasi-1D system

Fuente: arXiv
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Hauptverfasser: Jeon, Junmo, Lee, SungBin
Format: Preprint
Veröffentlicht: 2024
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author Jeon, Junmo
Lee, SungBin
author_facet Jeon, Junmo
Lee, SungBin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_10614
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Immortal quantum correlation in quasiperiodic quasi-1D system
Jeon, Junmo
Lee, SungBin
Strongly Correlated Electrons
Disordered Systems and Neural Networks
Quantum Physics
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.
title Immortal quantum correlation in quasiperiodic quasi-1D system
topic Strongly Correlated Electrons
Disordered Systems and Neural Networks
Quantum Physics
url https://arxiv.org/abs/2409.10614