Under Floquet ETH, the trace distance between energy-filtered and thermal states is bounded by O(√δ), where δ is the filter width.
We find that the en- tropies exhibit distinct scaling behaviors depending on the orderα, consistent with the findings previ- ously reported for the Hamiltonian case in [1]
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How thermal is a filtered state?
Under Floquet ETH, the trace distance between energy-filtered and thermal states is bounded by O(√δ), where δ is the filter width.