Geometric heterogeneity in small disordered spin networks with dipolar couplings and dephasing produces separated dynamical timescales, with a parametrically long relaxation time arising from effective detuning in strongly hybridized clusters.
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A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.
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Quantum Transport in Disordered Spin Networks: Emergent Timescales and Competing Pathways
Geometric heterogeneity in small disordered spin networks with dipolar couplings and dephasing produces separated dynamical timescales, with a parametrically long relaxation time arising from effective detuning in strongly hybridized clusters.
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Resonance Proliferation Across Localization Transitions
A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.