dorsal/arxiv
View SchemaDecoherence of a Pointer by a Gas Reservoir
| Authors | Michael Kleckner, Amiram Ron |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011087 |
| URL | https://arxiv.org/abs/quant-ph/0011087 |
| DOI | 10.1103/PhysRevA.63.022110 |
Abstract
We study the effect of the environment on the process of the measurement of a state of a microscopic spin half system. The measuring apparatus is a heavy particle, whose center of mass coordinates can be considered at the end of the measurement as approximately classical, and thus can be used as a pointer. The state of the pointer, which is the result of its interaction with the spin, is transformed into a mixed state by the coupling of the pointer to the environment. The environment is considered to be a gas reservoir, whose particles interact with the pointer. This results in a Fokker-Planck equation for the reduced density matrix of the pointer. The solution of the equation shows that the quantum coherences, which are characteristic to the entangled state between the probabilities to find the pointer in one of two positions, decays exponentially fast in time. We calculate the exponential decay function of this decoherence effect, and express it in terms of the parameters of the model.
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"abstract": "We study the effect of the environment on the process of the measurement of a\nstate of a microscopic spin half system. The measuring apparatus is a heavy\nparticle, whose center of mass coordinates can be considered at the end of the\nmeasurement as approximately classical, and thus can be used as a pointer. The\nstate of the pointer, which is the result of its interaction with the spin, is\ntransformed into a mixed state by the coupling of the pointer to the\nenvironment. The environment is considered to be a gas reservoir, whose\nparticles interact with the pointer. This results in a Fokker-Planck equation\nfor the reduced density matrix of the pointer. The solution of the equation\nshows that the quantum coherences, which are characteristic to the entangled\nstate between the probabilities to find the pointer in one of two positions,\ndecays exponentially fast in time. We calculate the exponential decay function\nof this decoherence effect, and express it in terms of the parameters of the\nmodel.",
"arxiv_id": "quant-ph/0011087",
"authors": [
"Michael Kleckner",
"Amiram Ron"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.022110",
"title": "Decoherence of a Pointer by a Gas Reservoir",
"url": "https://arxiv.org/abs/quant-ph/0011087"
},
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