A global adiabatic criterion selects Gaussian pulse timings that suppress leakage during non-Abelian Thouless pumping in a twelve-level Rydberg synthetic Lieb lattice, yielding order-dependent population transport consistent with noncommuting holonomic operations.
The relevant sector is{|C 2⟩,|A 2⟩,|B 1⟩}, where the active microwave-induced couplings connect |A2⟩with|C 2⟩through Ω C(t) and|A 2⟩with|B 1⟩through ΩB′(t)
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Non-Abelian Thouless pumping based on the global adiabatic criterion in Rydberg synthetic lattices
A global adiabatic criterion selects Gaussian pulse timings that suppress leakage during non-Abelian Thouless pumping in a twelve-level Rydberg synthetic Lieb lattice, yielding order-dependent population transport consistent with noncommuting holonomic operations.