A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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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.
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Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space
A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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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.