Work

Krylov complexity as a probe of the quantum Mpemba effect

Year: 2025

Type: article

Abstract: We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains. For models without global U ( 1 ) symmetry, Krylov complexity exhibits clear Mpemba-like crossings, consistent with conventional diagnostics such as the trace distance, while offering a complementary interpretation in terms of Hilbert-space exploration and dynamical delocalization. In U ( 1 ) -symmetric systems, we confirm that the recently proposed symmetric component of Krylov complexity serves as a robust and reliable indicator of the quantum Mpemba effect, capturing anomalous relaxation even in cases where the total complexity fails to do so.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/7wkj-w8c9

Authors: Mohsen Alishahiha, Mohammad Javad Vasli

Institution: Institute for Research in Fundamental Sciences

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Iran National Science Foundation

Award: G5569850771