Local quenches from a Krylov perspective
Sign Up to like & getrecommendations! Published in 2025 at "Journal of High Energy Physics"
DOI: 10.1007/jhep07(2025)164
Abstract: In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Krylov entropies for local joining and splitting quenches in theories on… read more here.
Keywords: spread complexity; central charge; complexity; complexity krylov ... See more keywords
Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
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DOI: 10.1007/s10773-024-05873-8
Abstract: Spread complexity measures the minimized spread of quantum states over all choices of basis. It generalizes Krylov operator complexity to quantum states under continuous Hamiltonian evolution. In this paper, we study spread complexity in the… read more here.
Keywords: high energy; neutrino; spread complexity; complexity ... See more keywords
Machine learns quantum complexity
Sign Up to like & getrecommendations! Published in 2025 at "Journal of the Korean Physical Society"
DOI: 10.1007/s40042-025-01529-w
Abstract: We study how a machine based on deep learning algorithms learns Krylov spread complexity in quantum systems with N x N random Hamiltonians drawn from the Gaussian unitary ensemble. Using thermofield double states as initial… read more here.
Keywords: spread complexity; learns quantum; machine; complexity ... See more keywords