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arXiv · 2602.04721

Ising Blockade of Resonant Energy Transport in Dense Spin Ensembles

Hong-Ze Ding·Jiu-Qing Liang
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Abstract

Resonant energy transport in dense, disordered dipolar spin ensembles relaxes far more slowly than predicted by exchange-only theories. We identify the missing mechanism as an Ising blockade: configuration-dependent diagonal interactions dynamically detune neighboring spins, so that the transport bottleneck is set by the correlated pair-detuning $\epsilon_{ij}$ rather than by the single-spin linewidth. The resonant fraction is suppressed linearly with the Ising broadening $\Gamma_{\mathrm{Ising}}$ -- in contrast to the quadratic suppression of conventional relaxation-time approximations. This single emergent scale yields a fit-free renormalization, $T_r^{\mathrm{corr}} \simeq T_r^{\mathrm{orig}}\,\Gamma_{\mathrm{Ising}}/\sigma_{\mathrm{exp}}$, which quantitatively accounts for the anomalous scaling $T_r \propto r^{4.5}$ in three-dimensional superradiant masers. The framework extends naturally across dimensions: geometry-dependent accumulation of Ising fields unifies the 3D exponent with the $T_r\propto r^{3}$ scaling observed in two-dimensional surface spin ensembles.

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Hong-Ze Ding, Jiu-Qing Liang. 2026-02-04. Ising Blockade of Resonant Energy Transport in Dense Spin Ensembles. https://arxiv.org/abs/2602.04721

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