Wavefunction collapse driven by non-Hermitian disturbance

• URL: http://arxiv.org/abs/2404.16445v1
• Date: Thu, 25 Apr 2024 09:25:17 GMT
• Title: Wavefunction collapse driven by non-Hermitian disturbance
• Authors: Jorge Martinez Romeral, Luis E. F. Foa Torres, Stephan Roche,
• Abstract summary: We model the interaction between a quantum particle and an "apparatus" through a non-Hermitian Hamiltonian term. We analyze how the strength and other parameters of the non-Hermitian perturbation influence the time-to-collapse of the wave function.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: In the context of the measurement problem, we propose to model the interaction between a quantum particle and an "apparatus" through a non-Hermitian Hamiltonian term. We simulate the time evolution of a normalized quantum state split into two spin components (via a Stern-Gerlach experiment) and that undergoes a wave-function collapse driven by a non-Hermitian Hatano-Nelson Hamiltonian. We further analyze how the strength and other parameters of the non-Hermitian perturbation influence the time-to-collapse of the wave function obtained under a Schr\"{o}dinger-type evolution. We finally discuss a thought experiment where manipulation of the apparatus could challenge standard quantum mechanics predictions.

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