Thermal entanglement of electronic spin–subband in a Rashba isotropic two-dimensional nanodot

Safaiee, R.; Aghel, F.; Golshan, M.M.

doi:10.1016/j.spmi.2014.01.006

Cited by 6 publications

(2 citation statements)

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“…The main concern in what follows, therefore, is to explore the properties of free (distillable) entanglement among the π-electronic states in graphene. Specifically, we shall consider the behaviour of entanglement between the π-electronic spin and spatial degrees of freedom, known as hybrid entanglement in the literature [12,13].…”

Section: Introductionmentioning

confidence: 99%

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Thermal free entanglement of π-electronic spin and Landau-sublattice states in Rashba monolayer graphene

2016

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Free entanglement-the milestone of any quantum information processing scheme-among the π-electronic spin and its spatial states in graphene, as a function of temperature, is the main concern of the present report. It is assumed that a perpendicular magnetic field generates the Landau levels so that a coupling with the pseudo-spin (sublattice) states is enacted. Moreover, the pseudo-Rashba spin-orbit interaction (SOI), responsible for the coupling of spin and sublattice states, is also taken into account. From the structure of the total Hamiltonian, we introduce a Casimir operator which, in due turn, assists the development of a simple but ecient algorithm for our numerical computation. We then proceed by constructing the thermal density operator, its partially transposed one and, thereby, compute the negativity, the proper measure of free hybrid entanglement, at any temperature. Our results show that the negativity is nonvanishing at absolute zero temperature due to the fact that the ground state is an entangled one. Moreover, our results indicate that the negativity, at certain temperatures, exhibits maxima. The temperatures at which the entanglement (free) is maximal strongly depend on the magnetic field and pseudo-Rashba spin-orbit strength; decreasing the magnetic field and/or increasing the pseudo-Rashba parameter (PRP) enhances the maximal entanglement monotonically. As the temperature increases, however, it is shown that the negativity decreases asymptotically to zero. As a result, there exists distillable entanglement amid the π-electronic spin and its spatial states in graphene at any finite temperature.

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Section: Introductionmentioning

confidence: 99%

“…, where ρ A i and ρ B i are the density operators in the Hilbert spaces of parties A and B, weighted by q i , respectively [13,37]. Denoting the orthonormal bases in the respective Hilbert spaces by { ⟩} |a and { ⟩} |b , the density operator is expressed as…”

Section: Introductionmentioning

confidence: 99%