Entanglement and the Kondo effect in serially coupled double quantum dots

Ramšak, A.; Mravlje, Jernej

doi:10.1140/epjb/e2008-00089-9

Cited by 3 publications

(1 citation statement)

References 57 publications

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“…Here we present results for the zero temperature limit obtained by the projection operator method as in Refs. [31][32][33][34][35]. The temperature dependence of the concurrence for the case of V = 0 is given in Ref.…”

Section: Qubit Pairs In Coupled Quantum Dotsmentioning

confidence: 99%

Quantum entanglement of space domains occupied by interacting electrons

Ramšak¹,

Mravlje²,

Rejec³

2009

Physica Status Solidi (b)

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Spin-entanglement of two electrons occupying two spatial regions -- domains -- is expressed in a compact form in terms of spin-spin correlation functions. The power of the formalism is demonstrated on several examples ranging from generation of entanglement by scattering of two electrons to the entanglement of a pair of qubits represented by a double quantum dot coupled to leads. In the latter case the collapse of entanglement due to the Kondo effect is analyzed

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Section: Qubit Pairs In Coupled Quantum Dotsmentioning

confidence: 99%

Quantum entanglement of space domains occupied by interacting electrons

Ramšak¹,

Mravlje²,

Rejec³

2009

Physica Status Solidi (b)

Self Cite

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Effect of spin exchange interaction on shot noise and tunnel magnetoresistance in double quantum dots

Xue

Xie

Xue

et al. 2014

Physica E: Low-dimensional Systems and Nanostructures

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Pairwise entanglement and the Mott transition for correlated electrons in nanochains

Rycerz

2017

New J. Phys.

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Pairwise entanglement, calculated separately for charge and spin degrees of freedom, is proposed as a ground-state signature of the Mott transition in correlated nanoscopic systems. Utilizing the exact diagonalization-ab initio, for chains containing N 16  hydrogenic-like atoms (at the half filling),we find that the vanishing of the nearest-neighbor charge concurrence indicates the crossover from apartly-localized quantum liquid to the Mott insulator. Spin concurrence remains nonzero at the insulating phase, showing that the decopling of spin and charge degrees of freedom may manifest itself by wavefunctions entangled in spin, but separable in charge coordinates. At the quarter filling, the analysis for N 20  shows that spin concurrence vanishes immediately when the charge-energy gap obtained from the scaling with N 1 0  vanishes, constituting afinite-system version of the Mott transition. Analytic derivations of the formulas expressing either charge or spin concurrence in terms of ground-state correlation functions are also provided.

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Entanglement and the Kondo effect in serially coupled double quantum dots

Cited by 3 publications

References 57 publications

Quantum entanglement of space domains occupied by interacting electrons

Quantum entanglement of space domains occupied by interacting electrons

Effect of spin exchange interaction on shot noise and tunnel magnetoresistance in double quantum dots

Pairwise entanglement and the Mott transition for correlated electrons in nanochains

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