Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks
Abstract
We identify different regimes of quantum state transfer in long-range coupled spin-1/2 systems, where naturally occurring power-law interactions enable rapid, high-fidelity transfer with minimal engineering. Across a broad range of interaction profiles, from effectively nearest-neighbour coupling to Coulomb interactions, we show how long-range connectivity fundamentally reshapes the mechanisms underlying information propagation within such systems. For effectively short-range interactions, transfer follows familiar ballistic transfer dynamics: an initially localised excitation spreads across many eigenmodes concentrated within the approximately linear region of the spectrum, enabling robust wavepacket motion. In contrast, increasing long-distance interactions via lowering the power-law exponent α (α=1−2) drives a striking transformation, where the initial state becomes confined to progressively fewer eigenmodes, ultimately reducing the dynamics to the coherent participation of only a few states corresponding to the highest eigenenergies. This spectral localization gives rise to emergent long-range oscillations between distant sites, revealing a distinct -- and faster -- transfer mechanism arising from the intrinsic structure of long-range quantum interactions rather than from full-system engineering pathways.
Versions
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BibTeX
@misc{marshall2026distinct,
title = {{Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks}},
author = {E. E. Marshall and C. C. Nelmes and T. J. G. Apollaro and T. P. Spiller and I. D'Amico},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.19057},
eprint = {2608.19057},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.19057},
}
RIS
TY - UNPB
TI - Distinct Modes of Quantum Information Transfer in Power-Law Long-Range Spin Networks
AU - E. E. Marshall
AU - C. C. Nelmes
AU - T. J. G. Apollaro
AU - T. P. Spiller
AU - I. D'Amico
PY - 2026
DA - 2026/08/19
PB - arXiv
DO - 10.48550/arxiv.2608.19057
UR - https://arxiv.org/abs/2608.19057
AB - We identify different regimes of quantum state transfer in long-range coupled spin-1/2 systems, where naturally occurring power-law interactions enable rapid, high-fidelity transfer with minimal engineering. Across a broad range of interaction profiles, from effectively nearest-neighbour coupling to Coulomb interactions, we show how long-range connectivity fundamentally reshapes the mechanisms underlying information propagation within such systems. For effectively short-range interactions, transfer follows familiar ballistic transfer dynamics: an initially localised excitation spreads across many eigenmodes concentrated within the approximately linear region of the spectrum, enabling robust wavepacket motion. In contrast, increasing long-distance interactions via lowering the power-law exponent α (α=1−2) drives a striking transformation, where the initial state becomes confined to progressively fewer eigenmodes, ultimately reducing the dynamics to the coherent participation of only a few states corresponding to the highest eigenenergies. This spectral localization gives rise to emergent long-range oscillations between distant sites, revealing a distinct -- and faster -- transfer mechanism arising from the intrinsic structure of long-range quantum interactions rather than from full-system engineering pathways.
ER -