Numerical renormalization group method for entanglement negativity at finite temperature

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We develop a numerical method to compute the negativity, an entanglement measure for mixed states, between the impurity and the bath in quantum impurity systems at finite temperature. We construct a thermal density matrix by using the numerical renormalization group (NRG), and evaluate the negativity by implementing the NRG approximation that reduces computational cost exponentially. We apply the method to the single-impurity Kondo model and the single-impurity Anderson model. In the Kondo model, the negativity exhibits a power-law scaling at temperature much lower than the Kondo temperature and a sudden death at high temperature. In the Anderson model, the charge fluctuation of the impurity contributes to the negativity even at zero temperature when the on-site Coulomb repulsion of the impurity is finite, while at low temperature the negativity between the impurity spin and the bath exhibits the same power-law scaling behavior as in the Kondo model.
Publisher
AMER PHYSICAL SOC
Issue Date
2018-04
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW B, v.97, no.15, pp.155123

ISSN
2469-9950
DOI
10.1103/PhysRevB.97.155123
URI
http://hdl.handle.net/10203/242190
Appears in Collection
PH-Journal Papers(저널논문)
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