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Escaping the Krylov space during the finite-precision Lanczos algorithm

Jannis Eckseler*, Max Pieper†, and Jürgen Schnack‡

  • *Contact author: jeckseler@physik.uni-bielefeld.de
  • †Contact author: mpieper@physik.uni-bielefeld.de
  • ‡Contact author: jschnack@uni-bielefeld.de

Recursion method for quench dynamics: Strengths and limitations

Ilya Shirokov, Viacheslav Khrushchev, Filipp Uskov, Ivan Dudinets, Igor Ermakov, and Oleg Lychkovskiy

SciPost Phys. Core 9 049 (2026)

QCommute: A tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems

Oleg Lychkovskiy, Viacheslav Khrushchev, and Ilya Shirokov

SciPost Phys. Codebases 84 (2026)

Attention in Krylov space: Transformer-based extrapolation of Lanczos coefficients

Zihao Qi and Christopher Earls

Phys. Rev. B 114 014319 (2026)

One-dimensional emulation of high-dimensional disclination topology

Junqian Wang, Sihong Lei, Daohong Song, Liqin Tang, Shiqi Xia, and Zhigang Chen

Photon. Res. 14 3651 (2026)

Long-range pairing in the Kitaev model: Krylov subspace signatures

Rishabh Jha and Heiko Georg Menzler

J. Phys. A: Math. Theor. 59 245307 (2026)

Symmetry-resolved Krylov complexity and the uncoloured tensor model

Shaliya Kotta and P. N. Bala Subramanian

J. High Energ. Phys. 2026 42 (2026)

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