dorsal/arxiv
View SchemaNumerical analysis of a spontaneous collapse model for a two-level system
| Authors | A. Bassi, E. Ippoliti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307081 |
| URL | https://arxiv.org/abs/quant-ph/0307081 |
| DOI | 10.1103/PhysRevA.69.012105 |
| Journal | Phys.Rev. A69 (2004) 012105 |
Abstract
We study a spontaneous collapse model for a two-level (spin) system, in which the Hamiltonian and the stochastic terms do not commute. The numerical solution of the equations of motions allows to give precise estimates on the regime at which the collapse of the state vector occurs, the reduction and delocalization times, and the reduction probabilities; it also allows to quantify the effect that an Hamiltonian which does not commute with the reducing terms has on the collapse mechanism. We also give a clear picture of the transition from the "microscopic" regime (when the noise terms are weak and the Hamiltonian prevents the state vector to collapse) to the "macroscopic" regime (when the noise terms are dominant and the collapse becomes effective for very long times). Finally, we clarify the distinction between decoherence and collapse.
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"abstract": "We study a spontaneous collapse model for a two-level (spin) system, in which\nthe Hamiltonian and the stochastic terms do not commute. The numerical solution\nof the equations of motions allows to give precise estimates on the regime at\nwhich the collapse of the state vector occurs, the reduction and delocalization\ntimes, and the reduction probabilities; it also allows to quantify the effect\nthat an Hamiltonian which does not commute with the reducing terms has on the\ncollapse mechanism. We also give a clear picture of the transition from the\n\"microscopic\" regime (when the noise terms are weak and the Hamiltonian\nprevents the state vector to collapse) to the \"macroscopic\" regime (when the\nnoise terms are dominant and the collapse becomes effective for very long\ntimes). Finally, we clarify the distinction between decoherence and collapse.",
"arxiv_id": "quant-ph/0307081",
"authors": [
"A. Bassi",
"E. Ippoliti"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevA.69.012105",
"journal_ref": "Phys.Rev. A69 (2004) 012105",
"title": "Numerical analysis of a spontaneous collapse model for a two-level system",
"url": "https://arxiv.org/abs/quant-ph/0307081"
},
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