Quasiparticle Mass Enhancement as a Measure of Entanglement in the Kondo Problem

We analyze the quantum entanglement between opposite spin projection electrons in the ground state of the Anderson impurity model. In this model, a single level impurity with intralevel repulsion U is tunnel coupled to a free electron gas. The Anderson model presents a strongly correlated many body...

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Bibliographic Details
Published in:Physical review letters 2020-11, Vol.125 (21), p.217601-217601, Article 217601
Main Authors: Pari, Nayra A. Álvarez, García, D. J., Cornaglia, Pablo S.
Format: Article
Language:English
Subjects:
Electron gas
Electron spin
Elementary excitations
Free electrons
Ground state
Impurities
Quantum entanglement
Quantum mechanics
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Summary:We analyze the quantum entanglement between opposite spin projection electrons in the ground state of the Anderson impurity model. In this model, a single level impurity with intralevel repulsion U is tunnel coupled to a free electron gas. The Anderson model presents a strongly correlated many body ground state with mass enhanced quasiparticle excitations. We find, using both analytical and numerical tools, that the quantum entanglement between opposite spin projection electrons is a monotonic universal function of the quasiparticle mass enhancement Z in the Kondo regime. This indicates that the interaction induced mass enhancement, which is generally used to quantify correlations in quantum many body systems, could be used as a measure of entanglement in the Kondo problem.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.125.217601