dorsal/arxiv
View SchemaParticle Localization by Decoherence and Classical Lensing
| Authors | Ivo Knittel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702197 |
| URL | https://arxiv.org/abs/quant-ph/0702197 |
Abstract
A phenomenological model of the time evolution of a particle wavepacket is presented that is subject to scattering event with small momentum transfer. It is suited for three dimensions and allows for an additional potential. For a random value of a phase parameter, it is equivalent to the decoherence by scattering off plane wave field states. Imposing some condition on the same phase parameter, the model delivers definite outcomes in a local pointer base. Common sense notions about the quantum-classical transition are readily obtained: Decoherent free particle solutions are localized constant-width wavepackets, quantum barrier scattering results in random reflection and transmission. The scattering process assumed in the phenomenological model is realized by scattering of a particle pair interacting by a force-distance law with small momentum transfer. Particles are localized not by decoherence but by a classical lensing effect. Schmidt paths in the Schmidt representation of the multiparticle state are products of single-particle wavepackets. Therefore the model has a natural 'Many Worlds' interpretation, identifying each Schmidt path with a classical branch. Different runs of the phenomenological model map the state of the same particular particle within different branches.
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"abstract": "A phenomenological model of the time evolution of a particle wavepacket is\npresented that is subject to scattering event with small momentum transfer. It\nis suited for three dimensions and allows for an additional potential. For a\nrandom value of a phase parameter, it is equivalent to the decoherence by\nscattering off plane wave field states. Imposing some condition on the same\nphase parameter, the model delivers definite outcomes in a local pointer base.\nCommon sense notions about the quantum-classical transition are readily\nobtained: Decoherent free particle solutions are localized constant-width\nwavepackets, quantum barrier scattering results in random reflection and\ntransmission. The scattering process assumed in the phenomenological model is\nrealized by scattering of a particle pair interacting by a force-distance law\nwith small momentum transfer. Particles are localized not by decoherence but by\na classical lensing effect. Schmidt paths in the Schmidt representation of the\nmultiparticle state are products of single-particle wavepackets. Therefore the\nmodel has a natural \u0027Many Worlds\u0027 interpretation, identifying each Schmidt path\nwith a classical branch. Different runs of the phenomenological model map the\nstate of the same particular particle within different branches.",
"arxiv_id": "quant-ph/0702197",
"authors": [
"Ivo Knittel"
],
"categories": [
"quant-ph"
],
"title": "Particle Localization by Decoherence and Classical Lensing",
"url": "https://arxiv.org/abs/quant-ph/0702197"
},
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