Published equation contexts

$r \sim t^{\zeta}$

Why this formula appears here

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 $\sim$ $t^{\zeta}$ , for both an Ising and an XY Hamiltonian, across four interaction ranges $\alpha$ $\in$ \{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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r

Symbol r

r is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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t^{\zeta}

Symbol t^zeta

$t^z$ eta is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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How to interpret it

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Research cited beside this formula

[4] Non-local Propagation of Correlations in Long-Range Interacting Quantum Systems ↗

Published contexts (1)

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r \sim t^{\zeta}

Equation 48 · Crossed Fields

Every Crystal Has Its Own Speed of Light

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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 $\sim$ $t^{\zeta}$ , for both an Ising and an XY Hamiltonian, across four interaction ranges $\alpha$ $\in$ \{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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r∼tζr \sim t^{\zeta}r∼tζ