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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Incoherent light enables selective excitation of topological edge states in non-Hermitian resonant systems, demonstrated experimentally in silicon ring resonators without phase control.
Bayesian post-correction of non-Markovian errors enables Heisenberg scaling F_eff = O(N^2) in bosonic lattice gravimetry when L >= ell + 2 modes.
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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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Incoherence-assisted mode excitation in non-Hermitian resonant systems
Incoherent light enables selective excitation of topological edge states in non-Hermitian resonant systems, demonstrated experimentally in silicon ring resonators without phase control.
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Bayesian post-correction of non-Markovian errors in bosonic lattice gravimetry
Bayesian post-correction of non-Markovian errors enables Heisenberg scaling F_eff = O(N^2) in bosonic lattice gravimetry when L >= ell + 2 modes.