AUTHOR=Puentes Graciana TITLE=Topological weak-measurement-induced geometric phases revisited JOURNAL=Frontiers in Physics VOLUME=Volume 13 - 2025 YEAR=2025 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1562928 DOI=10.3389/fphy.2025.1562928 ISSN=2296-424X ABSTRACT=We present an analytical and numerical study of a class of geometric phase induced by weak measurements. In particular, we analyze the dependence of the geometric phase on the winding (W) of the polar angle (Ļ†), upon a sequence of N weak measurements of increased magnitude (c), resulting in the appearance of a multiplicity of critical measurement-strength parameters where the geometric phase makes a |Ļ€| discrete jump. Adding to the novelty of our approach, we not only analyze the weak-measurement-induced geometric phase by a full analytic derivation, valid in the quasi-continuous limit (Nā†’āˆž), but also we analyze the induced geometric phase numerically, thus enabling us to unravel the finite-N interplay of the geometric phase with the measurement-strength parameter, and its stability to perturbations in the measurements protocol.