dorsal/arxiv
View SchemaComplementarity and the nature of uncertainty relations in Einstein-Bohr recoiling slit experiment
| Authors | Shogo Tanimura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703118 |
| URL | https://arxiv.org/abs/quant-ph/0703118 |
| DOI | 10.12743/quanta.v4i1.35 |
| Journal | Quanta Vol 4, No 1, 1-9 (2015) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
A model of the Einstein-Bohr double-slit experiment is formulated in a fully quantum theoretical setting. In this model, the state and dynamics of a movable wall that has the double slits in it, as well as the state of a particle incoming to the double slits, are described by quantum mechanics. Using this model, we analyzed complementarity between exhibiting the interference pattern and distinguishing the particle path. Comparing the Kennard-Robertson type and the Ozawa-type uncertainty relations, we conclude that the uncertainty relation involved in the double-slit experiment is not the Ozawa-type uncertainty relation but the Kennard-type uncertainty relation of the position and the momentum of the double-slit wall. A possible experiment to test the complementarity relation is suggested. It is also argued that various phenomena which occur at the interface of a quantum system and a classical system, including distinguishability, interference, decoherence, quantum eraser, and weak value, can be understood as aspects of entanglement.
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"abstract": "A model of the Einstein-Bohr double-slit experiment is formulated in a fully\nquantum theoretical setting. In this model, the state and dynamics of a movable\nwall that has the double slits in it, as well as the state of a particle\nincoming to the double slits, are described by quantum mechanics. Using this\nmodel, we analyzed complementarity between exhibiting the interference pattern\nand distinguishing the particle path. Comparing the Kennard-Robertson type and\nthe Ozawa-type uncertainty relations, we conclude that the uncertainty relation\ninvolved in the double-slit experiment is not the Ozawa-type uncertainty\nrelation but the Kennard-type uncertainty relation of the position and the\nmomentum of the double-slit wall. A possible experiment to test the\ncomplementarity relation is suggested. It is also argued that various phenomena\nwhich occur at the interface of a quantum system and a classical system,\nincluding distinguishability, interference, decoherence, quantum eraser, and\nweak value, can be understood as aspects of entanglement.",
"arxiv_id": "quant-ph/0703118",
"authors": [
"Shogo Tanimura"
],
"categories": [
"quant-ph"
],
"doi": "10.12743/quanta.v4i1.35",
"journal_ref": "Quanta Vol 4, No 1, 1-9 (2015)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Complementarity and the nature of uncertainty relations in Einstein-Bohr recoiling slit experiment",
"url": "https://arxiv.org/abs/quant-ph/0703118"
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