Krylov complexity grows quadratically in pure Lifshitz backgrounds and its late-time exponent is controlled by the hyperscaling violation parameter, with a special oscillatory regime.
Time scaling of entanglement in in- tegrable scale-invariant theories
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Symmetry-resolved entanglement in Lifshitz theories shows approximate equipartition among charge sectors for scalars at large z with configurational entropy dominant, while fermions show genuine equipartition only at z=1 with fluctuation entropy dominant.
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Symmetry resolved entanglement in Lifshitz field theories
Symmetry-resolved entanglement in Lifshitz theories shows approximate equipartition among charge sectors for scalars at large z with configurational entropy dominant, while fermions show genuine equipartition only at z=1 with fluctuation entropy dominant.