dorsal/arxiv
View SchemaQuantum to Classical Transition from the Cosmic Background Radiation
| Authors | M. C. de Oliveira, N. G. Almeida, S. S. Mizrahi, M. H. Y. Moussa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004052 |
| URL | https://arxiv.org/abs/quant-ph/0004052 |
| DOI | 10.1103/PhysRevA.62.012108 |
| Journal | Phys. Rev. A 62, 012108 (2000). |
Abstract
We have revisited the Ghirardi-Rimini-Weber-Pearle (GRWP) approach for continuous dynamical evolution of the state vector for a macroscopic object. Our main concern is to recover the decoupling of the state vector dynamics for the center-of-mass (CM) and internal motion, as in the GRWP model, but within the framework of the standard cosmology. In this connection we have taken the opposite direction of the GRWP argument, that the cosmic background radiation (CBR) has originated from a fundamental stochastic hitting process. We assume the CBR as a clue of the Big Bang, playing a main role in the decoupling of the state vector dynamics of the CM and internal motion. In our model, instead of describing a continuous spontaneous localization (CSL) of a system of massive particles as proposed by Ghirardi, Pearle and Rimini, the It\^{o} stochastic equation accounts for the intervention of the CBR on the system of particles. Essentially, this approach leads to a pre-master equation for both the CBR and particles degrees of freedom. The violation of the principle of energy conservation characteristic of the CSL model is avoided as well as the additional assumption on the size of the GRWP's localization width necessary to reach the decoupling between the collective and internal motions. Moreover, realistic estimation for the decoherence time, exhibiting an interesting dependence on the CBR temperature, is obtained. From the formula for the decoherence time it is possible to analyze the transition from micro to macro dynamics in both the early hot Universe and the nowadays cold one. The entropy of the system under decoherence is analyzed and the emergent `pointer basis' is discussed. In spite of not having imposed a privileged basis, in our model the position still emerges as the preferred observable as in the CSL model.
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"abstract": "We have revisited the Ghirardi-Rimini-Weber-Pearle (GRWP) approach for\ncontinuous dynamical evolution of the state vector for a macroscopic object.\nOur main concern is to recover the decoupling of the state vector dynamics for\nthe center-of-mass (CM) and internal motion, as in the GRWP model, but within\nthe framework of the standard cosmology. In this connection we have taken the\nopposite direction of the GRWP argument, that the cosmic background radiation\n(CBR) has originated from a fundamental stochastic hitting process. We assume\nthe CBR as a clue of the Big Bang, playing a main role in the decoupling of the\nstate vector dynamics of the CM and internal motion. In our model, instead of\ndescribing a continuous spontaneous localization (CSL) of a system of massive\nparticles as proposed by Ghirardi, Pearle and Rimini, the It\\^{o} stochastic\nequation accounts for the intervention of the CBR on the system of particles.\nEssentially, this approach leads to a pre-master equation for both the CBR and\nparticles degrees of freedom. The violation of the principle of energy\nconservation characteristic of the CSL model is avoided as well as the\nadditional assumption on the size of the GRWP\u0027s localization width necessary to\nreach the decoupling between the collective and internal motions. Moreover,\nrealistic estimation for the decoherence time, exhibiting an interesting\ndependence on the CBR temperature, is obtained. From the formula for the\ndecoherence time it is possible to analyze the transition from micro to macro\ndynamics in both the early hot Universe and the nowadays cold one. The entropy\nof the system under decoherence is analyzed and the emergent `pointer basis\u0027 is\ndiscussed. In spite of not having imposed a privileged basis, in our model the\nposition still emerges as the preferred observable as in the CSL model.",
"arxiv_id": "quant-ph/0004052",
"authors": [
"M. C. de Oliveira",
"N. G. Almeida",
"S. S. Mizrahi",
"M. H. Y. Moussa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.012108",
"journal_ref": "Phys. Rev. A 62, 012108 (2000).",
"title": "Quantum to Classical Transition from the Cosmic Background Radiation",
"url": "https://arxiv.org/abs/quant-ph/0004052"
},
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