Symbol α
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The transfer theorem makes a falsifiable prediction about cone shapes under long-range interactions, and one published dataset is precise enough to test it against directly. Philip Richerme and collaborators fit the boundary of a fixed correlation contour in an eleven-ion ytterbium-171 chain as r , for both an Ising and an XY Hamiltonian, across four interaction ranges \{0.63, 0.83, 1.00, 1.19\} [ 4 ] . Measured against the long-range generalisations of the Lieb-Robinson bound, the resulting eight exponents deliver three verdicts at once, and none of the three is the single clean answer a headline would prefer.
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Equation 49 · Crossed Fields
Every Crystal Has Its Own Speed of Light
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The transfer theorem makes a falsifiable prediction about cone shapes under long-range interactions, and one published dataset is precise enough to test it against directly. Philip Richerme and collaborators fit the boundary of a fixed correlation contour in an eleven-ion ytterbium-171 chain as r , for both an Ising and an XY Hamiltonian, across four interaction ranges \{0.63, 0.83, 1.00, 1.19\} [ 4 ] . Measured against the long-range generalisations of the Lieb-Robinson bound, the resulting eight exponents deliver three verdicts at once, and none of the three is the single clean answer a headline would prefer.
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