A non-Hermitian loop for a quantum measurement

• URL: http://arxiv.org/abs/2408.04629v2
• Date: Thu, 29 May 2025 08:17:29 GMT
• Title: A non-Hermitian loop for a quantum measurement
• Authors: Luis E. F. Foa Torres, Stephan Roche,
• Abstract summary: We argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter.<n>For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schr\"odinger'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 Schr\"odinger part of the quantum dynamics.

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