Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.
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Local twist operators and a purity-gap-based chiral marker provide practical real-space indicators of topology in finite-temperature mixed states of the SSH model.
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Operator Space Transport and the Emergence of Boundary Time Crystals
Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.