Entanglement and quantum discord creation in different setups of a one-dimensional scattering experiment

Ghanbari-Adivi, Ebrahim; Soltani, Mohsen; Sheikhali, M.

doi:10.1140/epjd/e2015-60209-2

Cited by 3 publications

(1 citation statement)

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“…One of the ways to this end is to use the scattering phenomena. In a number of pervious studies in this field, adopting a free electron model, the entanglement generation created due to one-dimensional scattering of electrons from Kondo and Heisenberg impurities has been theoretically investigated [16][17][18]. Also, in one of these studies, it was shown that the Klein tunnel-ing effect of the traveling electrons in a graphene sheet can leads to a correlation between the transmitted and the reflected electrons and also between the quantum-dot spin qubits fixed in the graphene nanoribbons [18].…”

Section: Introductionmentioning

confidence: 99%

Two-impurity entanglement generation by electron scattering in zigzag phosphorene nanoribbons

Amini

Soltani

Ghanbari-Adivi

et al. 2019

Quantum Inf Process

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In this paper, we investigate how two on-side doped impurities with net magnetic moments in an edge chain of a zigzag phosphorene nanoribbon (zPNR) can be entangled by scattering of the traveling edge-state electrons. To this end, in the first step, we employ the Lippmann-Scwinger equation as well as the Green's function approach to study the scattering of the free traveling electrons from two magnetic impurities in a one-dimensional tight-binding chain. Then, following the same formalism, that is shown that the behavior of two on-side spin impurities in the edge chain of a zPNR in responding to the scattering of the edge-state traveling electrons is very similar to what happens for the one-dimensional chain. In both cases, considering a known incoming wave state, the reflected and transmitted parts of the final wave state are evaluated analytically. Using the obtained results, the related partial density matrices and the reflection and transmission probabilities are computable. Negativity as a measure of the produced entanglement in the final state is calculated and the results are discussed. Our theoretical model actually proposes a method, which is perhaps experimentally performable to create the entanglement in the state of the impurities .

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