Work

Universal properties of the many-body Lanczos algorithm at finite size

Year: 2026

Type: article

Abstract: We study the universal properties of the Lanczos algorithm applied to finite-size many-body quantum systems. Focusing on autocorrelation functions of local operators and on their infinite-time behaviour at finite size, we conjecture that in the large $n$ limit, the ratios between consecutive Lanczos coefficients should have specific scalings with the size of the lattice that we make precise and that depend on the hydrodynamic tail of the autocorrelation function. The scaling associated with strong or approximate zero-modes is also discussed. We support our conjecture with a numerical study of different models.

Source: Physical review. B./Physical review. B

DOI: 10.1103/7trg-ft2t

Authors: Luca Capizzi, Leonardo Mazza, Sara Murciano

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Physique Théorique et Modèles Statistiques, Institut Universitaire de France

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Lossy Fermionic Quantum Simulator