Macroscopic quantum entanglement of a Kondo cloud at finite temperature

We propose a variational approach for computing the macroscopic entanglement in a many-body mixed state, based on entanglement witness operators, and compute the entanglement of formation (EoF), a mixed-state generalization of the entanglement entropy, in single- and two-channel Kondo systems at fin...

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Bibliographic Details
Published in:Physical review letters 2015-02, Vol.114 (5), p.057203-057203
Main Authors: Lee, S-S B, Park, Jinhong, Sim, H-S
Format: Article
Language:English
Subjects:
Clouds
Entanglement
Entropy
Fermions
Liquids
Mathematical analysis
Quantum mechanics
Screening
Online Access:Get full text
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Summary:We propose a variational approach for computing the macroscopic entanglement in a many-body mixed state, based on entanglement witness operators, and compute the entanglement of formation (EoF), a mixed-state generalization of the entanglement entropy, in single- and two-channel Kondo systems at finite temperature. The thermal suppression of the EoF obeys power-law scaling at low temperature. The scaling exponent is halved from the single- to the two-channel system, which is attributed, using a bosonization method, to the non-Fermi liquid behavior of a Majorana fermion, a "half" of a complex fermion, emerging in the two-channel system. Moreover, the EoF characterizes the size and power-law tail of the Kondo screening cloud of the single-channel system.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.114.057203