dorsal/arxiv
View SchemaDynamical Reduction Models with General Gaussian Noises
| Authors | Angelo Bassi, GianCarlo Ghirardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201122 |
| URL | https://arxiv.org/abs/quant-ph/0201122 |
| DOI | 10.1103/PhysRevA.65.042114 |
| Journal | Phys.Rev. A65 (2002) 042114 |
Abstract
We consider the effect of replacing in stochastic differential equations leading to the dynamical collapse of the statevector, white noise stochastic processes with non white ones. We prove that such a modification can be consistently performed without altering the most interesting features of the previous models. One of the reasons to discuss this matter derives from the desire of being allowed to deal with physical stochastic fields, such as the gravitational one, which cannot give rise to white noises. From our point of view the most relevant motivation for the approach we propose here derives from the fact that in relativistic models the occurrence of white noises is the main responsible for the appearance of untractable divergences. Therefore, one can hope that resorting to non white noises one can overcome such a difficulty. We investigate stochastic equations with non white noises, we discuss their reduction properties and their physical implications. Our analysis has a precise interest not only for the above mentioned subject but also for the general study of dissipative systems and decoherence.
{
"annotation_id": "dcb7d8f3-7be8-499b-bd8f-048189dbc9ab",
"date_created": "2026-03-02T18:01:49.515000Z",
"date_modified": "2026-03-02T18:01:49.515000Z",
"file_hash": "7a6a95ddd96c94c69a4c30dc47961ad53912945a7b40616aeb150f4f1c7b6cc9",
"private": false,
"record": {
"abstract": "We consider the effect of replacing in stochastic differential equations\nleading to the dynamical collapse of the statevector, white noise stochastic\nprocesses with non white ones. We prove that such a modification can be\nconsistently performed without altering the most interesting features of the\nprevious models. One of the reasons to discuss this matter derives from the\ndesire of being allowed to deal with physical stochastic fields, such as the\ngravitational one, which cannot give rise to white noises. From our point of\nview the most relevant motivation for the approach we propose here derives from\nthe fact that in relativistic models the occurrence of white noises is the main\nresponsible for the appearance of untractable divergences. Therefore, one can\nhope that resorting to non white noises one can overcome such a difficulty. We\ninvestigate stochastic equations with non white noises, we discuss their\nreduction properties and their physical implications. Our analysis has a\nprecise interest not only for the above mentioned subject but also for the\ngeneral study of dissipative systems and decoherence.",
"arxiv_id": "quant-ph/0201122",
"authors": [
"Angelo Bassi",
"GianCarlo Ghirardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.042114",
"journal_ref": "Phys.Rev. A65 (2002) 042114",
"title": "Dynamical Reduction Models with General Gaussian Noises",
"url": "https://arxiv.org/abs/quant-ph/0201122"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "14b09c2b-a97f-44cd-a7e8-48890a7b240f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}