A non-Hermitian loop for a quantum measurement

2024/08/08 by Luis E. F. Foa Torres, Stephan Roche, Torres, Luis E. F. Foa +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2408.04629

openalex publication_date 2024/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger's equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics.

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