Wavefunction collapse driven by non-Hermitian disturbance
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909181575954432 |
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| author | Romeral, Jorge Martinez Torres, Luis E. F. Foa Roche, Stephan |
| author_facet | Romeral, Jorge Martinez Torres, Luis E. F. Foa Roche, Stephan |
| contents | 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 Schrödinger-type evolution. We finally discuss a thought experiment where manipulation of the apparatus could challenge standard quantum mechanics predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wavefunction collapse driven by non-Hermitian disturbance Romeral, Jorge Martinez Torres, Luis E. F. Foa Roche, Stephan Quantum Physics Other Condensed Matter 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 Schrödinger-type evolution. We finally discuss a thought experiment where manipulation of the apparatus could challenge standard quantum mechanics predictions. |
| title | Wavefunction collapse driven by non-Hermitian disturbance |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2404.16445 |