dorsal/arxiv
View SchemaExperimental demonstration of the interferometric complementarity of one- and two-particle interference in a bulk Nuclear Magnetic Resonance ensemble
| Authors | Xinhua Peng, Xiwen Zhu, Maili Liu, Kelin Gao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208081 |
| URL | https://arxiv.org/abs/quant-ph/0208081 |
Abstract
We analyze an interferometric complementarity between one- and two-particle interference in the general case: $V_{i}^{2}+V_{12}^{2}\leq 1$ $(i=1$, $2)$, and further examine the relation among one-particle interference visibility $V_{i}$, two-particle interference visibility $V_{12}$ and the predication $P_{i}$ of the path of a single particle. An equality $V_{i}^{2}+V_{12}^{2}+P_{i}^{2}=1$ $(i=1$, $2)$ is achieved for any pure two-particle source, which implies the condition of the complementarity relation to reach the upper bound and its relation to another interferometric complementarity between path information and interference visibility of a single particle. Meanwhile, the relationships of the complementarities and the entanglement $E$ of the composite system are also investigated. Using nuclear magnetic resonance techniques, the two-particle interferometric complementarity was experimentally tested with the ensemble-averaged spin states, including two extreme cases and an intermediate case.
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"abstract": "We analyze an interferometric complementarity between one- and two-particle\ninterference in the general case: $V_{i}^{2}+V_{12}^{2}\\leq 1$ $(i=1$, $2)$,\nand further examine the relation among one-particle interference visibility\n$V_{i}$, two-particle interference visibility $V_{12}$ and the predication\n$P_{i}$ of the path of a single particle. An equality\n$V_{i}^{2}+V_{12}^{2}+P_{i}^{2}=1$ $(i=1$, $2)$ is achieved for any pure\ntwo-particle source, which implies the condition of the complementarity\nrelation to reach the upper bound and its relation to another interferometric\ncomplementarity between path information and interference visibility of a\nsingle particle. Meanwhile, the relationships of the complementarities and the\nentanglement $E$ of the composite system are also investigated. Using nuclear\nmagnetic resonance techniques, the two-particle interferometric complementarity\nwas experimentally tested with the ensemble-averaged spin states, including two\nextreme cases and an intermediate case.",
"arxiv_id": "quant-ph/0208081",
"authors": [
"Xinhua Peng",
"Xiwen Zhu",
"Maili Liu",
"Kelin Gao"
],
"categories": [
"quant-ph"
],
"title": "Experimental demonstration of the interferometric complementarity of one- and two-particle interference in a bulk Nuclear Magnetic Resonance ensemble",
"url": "https://arxiv.org/abs/quant-ph/0208081"
},
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