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.
Takahashi, Transitionless quantum driving for spin systems, Phys
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An optimized adiabatic-impulse protocol reduces total time for crossing quantum critical points while preserving Kibble-Zurek scaling and attenuating noise-induced anti-Kibble-Zurek defects in the transverse Ising chain.
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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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Optimized adiabatic-impulse protocol preserving Kibble-Zurek scaling with attenuated anti-Kibble-Zurek behavior
An optimized adiabatic-impulse protocol reduces total time for crossing quantum critical points while preserving Kibble-Zurek scaling and attenuating noise-induced anti-Kibble-Zurek defects in the transverse Ising chain.