In the quadratic resonant level model, Lanczos coefficients of impurity operators can be tuned to arbitrary growth patterns via coupling choice, showing they do not reliably indicate integrability or chaos.
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Theory using dynamical high-temperature expansion and optical-lattice hard-core boson experiments show excellent agreement on spin diffusion constants in the finite-temperature square-lattice XY model.
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Resonant level model from a Krylov perspective: Lanczos coefficients in a quadratic model
In the quadratic resonant level model, Lanczos coefficients of impurity operators can be tuned to arbitrary growth patterns via coupling choice, showing they do not reliably indicate integrability or chaos.
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Finite-temperature spin diffusion in the two-dimensional XY model
Theory using dynamical high-temperature expansion and optical-lattice hard-core boson experiments show excellent agreement on spin diffusion constants in the finite-temperature square-lattice XY model.