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ORIGINAL RESEARCH article
Front. Phys.
Sec. Quantum Engineering and Technology
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1562928
Topological Weak-Measurement-Induced Geometric Phases Revisited
Provisionally accepted- 1 National Scientific and Technical Research Council (CONICET), Buenos Aires, Argentina
- 2 University of Buenos Aires, Buenos Aires, Buenos Aires, Argentina
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 φ, 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 |π| 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 (N → ∞), 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.
Keywords: Weak measurements, geometric phases, Topological transition, Positive operator-valued measure, Postselection measurement
Received: 18 Jan 2025; Accepted: 17 Mar 2025.
Copyright: © 2025 Puentes. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Graciana Puentes, National Scientific and Technical Research Council (CONICET), Buenos Aires, Argentina
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