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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Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.
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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.
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Random-State Generation and Preparation Complexity in Rydberg Atom Arrays
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.