dorsal/arxiv
View SchemaCharge Detection in a Closed-Loop Aharonov-Bohm Interferometer
| Authors | Gyong Luck Khym, Kicheon Kang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606117 |
| URL | https://arxiv.org/abs/quant-ph/0606117 |
| DOI | 10.1103/PhysRevB.74.153309 |
| Journal | Phys.Rev. B74 (2006) 153309 |
Abstract
We report on a study of complementarity in a two-terminal "closed-loop" Aharonov-Bohm interferometer. In this interferometer, the simple picture of two-path interference cannot be applied. We introduce a nearby quantum point contact to detect the electron in a quantum dot inserted in the interferometer. We found that charge detection reduces but does not completely suppress the interference even in the limit of perfect detection. We attribute this phenomenon to the unique nature of the closed-loop interferometer. That is, the closed-loop interferometer cannot be simply regarded as a two-path interferometer because of multiple reflections of electrons. As a result, there exist indistinguishable paths of the electron in the interferometer and the interference survives even in the limit of perfect charge detection. This implies that charge detection is not equivalent to path detection in a closed-loop interferometer. We also discuss the phase rigidity of the transmission probability for a two-terminal conductor in the presence of a detector.
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"abstract": "We report on a study of complementarity in a two-terminal \"closed-loop\"\nAharonov-Bohm interferometer. In this interferometer, the simple picture of\ntwo-path interference cannot be applied. We introduce a nearby quantum point\ncontact to detect the electron in a quantum dot inserted in the interferometer.\nWe found that charge detection reduces but does not completely suppress the\ninterference even in the limit of perfect detection. We attribute this\nphenomenon to the unique nature of the closed-loop interferometer. That is, the\nclosed-loop interferometer cannot be simply regarded as a two-path\ninterferometer because of multiple reflections of electrons. As a result, there\nexist indistinguishable paths of the electron in the interferometer and the\ninterference survives even in the limit of perfect charge detection. This\nimplies that charge detection is not equivalent to path detection in a\nclosed-loop interferometer. We also discuss the phase rigidity of the\ntransmission probability for a two-terminal conductor in the presence of a\ndetector.",
"arxiv_id": "quant-ph/0606117",
"authors": [
"Gyong Luck Khym",
"Kicheon Kang"
],
"categories": [
"quant-ph",
"astro-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevB.74.153309",
"journal_ref": "Phys.Rev. B74 (2006) 153309",
"title": "Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer",
"url": "https://arxiv.org/abs/quant-ph/0606117"
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