Current browse context:
quant-ph
Change to browse by:
References & Citations
Quantum Physics
Title: Wavefunction collapse driven by non-Hermitian disturbance
(Submitted on 25 Apr 2024)
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.
Submission history
From: Jorge Martinez Romeral [view email][v1] Thu, 25 Apr 2024 09:25:17 GMT (2443kb,D)
Link back to: arXiv, form interface, contact.