dorsal/arxiv
View SchemaQuantum Decoherence from Adiabatic Entanglement
| Authors | C. P. Sun, D. L. Zhou, S. Yu, X. F. Liu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001068 |
| URL | https://arxiv.org/abs/quant-ph/0001068 |
Abstract
In order to understand quantum decoherence of a quantum system due to its interaction with a large system behaving classically, we introduce the concept of adiabatic quantum entanglement based on the Born-Oppenhemeir approximation. In the adiabatic limit, it is shown that the wave function of the total system formed by the quantum system plus the large system can be factorized as an entangled state with correlation between adiabatic quantum states and quasi-classical motion configurations of the large system. In association with a novel viewpoint about quantum measurement, which has been directly verified by most recent experiments [e.g, S. Durr et.al, Nature 33, 359 (1998)], it is shown that the adiabatic entanglement is indeed responsible for the quantum decoherence and thus it can be regarded as a "clean" quantum measurement when the large system behaves as a classical object. The large system being taken respectively to be a macroscopically distinguishable spatial variable, a high spin system and a harmonic oscillator with a coherent initial state, three illustrations are present with their explicit solutions in this paper.
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"abstract": "In order to understand quantum decoherence of a quantum system due to its\ninteraction with a large system behaving classically, we introduce the concept\nof adiabatic quantum entanglement based on the Born-Oppenhemeir approximation.\nIn the adiabatic limit, it is shown that the wave function of the total system\nformed by the quantum system plus the large system can be factorized as an\nentangled state with correlation between adiabatic quantum states and\nquasi-classical motion configurations of the large system. In association with\na novel viewpoint about quantum measurement, which has been directly verified\nby most recent experiments [e.g, S. Durr et.al, Nature 33, 359 (1998)], it is\nshown that the adiabatic entanglement is indeed responsible for the quantum\ndecoherence and thus it can be regarded as a \"clean\" quantum measurement when\nthe large system behaves as a classical object. The large system being taken\nrespectively to be a macroscopically distinguishable spatial variable, a high\nspin system and a harmonic oscillator with a coherent initial state, three\nillustrations are present with their explicit solutions in this paper.",
"arxiv_id": "quant-ph/0001068",
"authors": [
"C. P. Sun",
"D. L. Zhou",
"S. Yu",
"X. F. Liu"
],
"categories": [
"quant-ph"
],
"title": "Quantum Decoherence from Adiabatic Entanglement",
"url": "https://arxiv.org/abs/quant-ph/0001068"
},
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