The paper claims the kinetic-correlation part of the TDDFT exchange-correlation potential activates only beyond first order in the off-diagonal expansion of the one-electron density matrix, with a 1D two-electron test where omitting it suppresses density broadening.
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Spatial-Order Hierarchy of Time-Dependent Exchange-Correlation Potential
The paper claims the kinetic-correlation part of the TDDFT exchange-correlation potential activates only beyond first order in the off-diagonal expansion of the one-electron density matrix, with a 1D two-electron test where omitting it suppresses density broadening.