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arXiv · 2404.16445

Wavefunction collapse driven by non-Hermitian disturbance

Jorge Martinez Romeral·Luis E. F. Foa Torres·Stephan Roche
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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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Jorge Martinez Romeral, Luis E. F. Foa Torres, Stephan Roche. 2024-04-25. Wavefunction collapse driven by non-Hermitian disturbance. https://arxiv.org/abs/2404.16445

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