dorsal/arxiv
View SchemaElectron Fabry-Perot interferometer with two entangled magnetic impurities
| Authors | F. Ciccarello, G. M. Palma, M. Zarcone, Y. Omar, V. R. Vieira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611025 |
| URL | https://arxiv.org/abs/quant-ph/0611025 |
| DOI | 10.1088/1751-8113/40/28/S09 |
| Journal | J. Phys. A: Math. Theor. 40, 7993 (2007) |
Abstract
We consider a one-dimensional (1D) wire along which single conduction electrons can propagate in the presence of two spin-1/2 magnetic impurities. The electron may be scattered by each impurity via a contact-exchange interaction and thus a spin-flip generally occurs at each scattering event. Adopting a quantum waveguide theory approach, we derive the stationary states of the system at all orders in the electron-impurity exchange coupling constant. This allows us to investigate electron transmission for arbitrary initial states of the two impurity spins. We show that for suitable electron wave vectors, the triplet and singlet maximally entangled spin states of the impurities can respectively largely inhibit the electron transport or make the wire completely transparent for any electron spin state. In the latter case, a resonance condition can always be found, representing an anomalous behaviour compared to typical decoherence induced by magnetic impurities. We provide an explanation for these phenomena in terms of the Hamiltonian symmetries. Finally, a scheme to generate maximally entangled spin states of the two impurities via electron scattering is proposed.
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"abstract": "We consider a one-dimensional (1D) wire along which single conduction\nelectrons can propagate in the presence of two spin-1/2 magnetic impurities.\nThe electron may be scattered by each impurity via a contact-exchange\ninteraction and thus a spin-flip generally occurs at each scattering event.\nAdopting a quantum waveguide theory approach, we derive the stationary states\nof the system at all orders in the electron-impurity exchange coupling\nconstant. This allows us to investigate electron transmission for arbitrary\ninitial states of the two impurity spins. We show that for suitable electron\nwave vectors, the triplet and singlet maximally entangled spin states of the\nimpurities can respectively largely inhibit the electron transport or make the\nwire completely transparent for any electron spin state. In the latter case, a\nresonance condition can always be found, representing an anomalous behaviour\ncompared to typical decoherence induced by magnetic impurities. We provide an\nexplanation for these phenomena in terms of the Hamiltonian symmetries.\nFinally, a scheme to generate maximally entangled spin states of the two\nimpurities via electron scattering is proposed.",
"arxiv_id": "quant-ph/0611025",
"authors": [
"F. Ciccarello",
"G. M. Palma",
"M. Zarcone",
"Y. Omar",
"V. R. Vieira"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1088/1751-8113/40/28/S09",
"journal_ref": "J. Phys. A: Math. Theor. 40, 7993 (2007)",
"title": "Electron Fabry-Perot interferometer with two entangled magnetic impurities",
"url": "https://arxiv.org/abs/quant-ph/0611025"
},
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