On the effectiveness of the collapse in the Diósi-Penrose model

Fuente: arXiv
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Autori principali: Figurato, Laria, Dirindin, Marco, Gaona-Reyes, José Luis, Carlesso, Matteo, Bassi, Angelo, Donadi, Sandro
Natura: Preprint
Pubblicazione: 2024
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author Figurato, Laria
Dirindin, Marco
Gaona-Reyes, José Luis
Carlesso, Matteo
Bassi, Angelo
Donadi, Sandro
author_facet Figurato, Laria
Dirindin, Marco
Gaona-Reyes, José Luis
Carlesso, Matteo
Bassi, Angelo
Donadi, Sandro
contents The possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory, but also because it would give a new and unexpected twist to the search for a unified theory of quantum and gravitational phenomena, possibly overcoming the current impasse. The Diósi-Penrose model is the most popular incarnation of this idea. It predicts a progressive breakdown of quantum superpositions when the mass of the system increases; as such, it is susceptible to experimental verification. Current experiments set a lower bound $R_0\gtrsim 4 \times 10^{-10}$ m for the free parameter of the model, excluding some versions of it. In this work we search for an upper bound, coming from the request that the collapse is effective enough to guarantee classicality at the macroscopic scale: we find out that not all macroscopic systems collapse effectively. If one relaxes this request, a reasonable (although to some degree arbitrary) bound is found to be: $R_0\lesssim 10^{-4}$ m. This will serve to better direct future experiments to further test the model.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18494
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the effectiveness of the collapse in the Diósi-Penrose model
Figurato, Laria
Dirindin, Marco
Gaona-Reyes, José Luis
Carlesso, Matteo
Bassi, Angelo
Donadi, Sandro
Quantum Physics
The possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory, but also because it would give a new and unexpected twist to the search for a unified theory of quantum and gravitational phenomena, possibly overcoming the current impasse. The Diósi-Penrose model is the most popular incarnation of this idea. It predicts a progressive breakdown of quantum superpositions when the mass of the system increases; as such, it is susceptible to experimental verification. Current experiments set a lower bound $R_0\gtrsim 4 \times 10^{-10}$ m for the free parameter of the model, excluding some versions of it. In this work we search for an upper bound, coming from the request that the collapse is effective enough to guarantee classicality at the macroscopic scale: we find out that not all macroscopic systems collapse effectively. If one relaxes this request, a reasonable (although to some degree arbitrary) bound is found to be: $R_0\lesssim 10^{-4}$ m. This will serve to better direct future experiments to further test the model.
title On the effectiveness of the collapse in the Diósi-Penrose model
topic Quantum Physics
url https://arxiv.org/abs/2406.18494