dorsal/arxiv
View SchemaEntanglement of an impurity and conduction spins in the Kondo model
| Authors | Sangchul Oh, Jaewan Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601166 |
| URL | https://arxiv.org/abs/quant-ph/0601166 |
| DOI | 10.1103/PhysRevB.73.052407 |
| Journal | Physical Review B 73, 052407 (2006) |
Abstract
Based on Yosida's ground state of the single-impurity Kondo Hamiltonian, we study three kinds of entanglement between an impurity and conduction electron spins. First, it is shown that the impurity spin is maximally entangled with all the conduction electrons. Second, a two-spin density matrix of the impurity spin and one conduction electron spin is given by a Werner state. We find that the impurity spin is not entangled with one conduction electron spin even within the Kondo screening length $\xi_K$, although there is the spin-spin correlation between them. Third, we show the density matrix of two conduction electron spins is nearly same to that of a free electron gas. The single impurity does not change the entanglement structure of the conduction electrons in contrast to the dramatic change in electrical resistance.
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"abstract": "Based on Yosida\u0027s ground state of the single-impurity Kondo Hamiltonian, we\nstudy three kinds of entanglement between an impurity and conduction electron\nspins. First, it is shown that the impurity spin is maximally entangled with\nall the conduction electrons. Second, a two-spin density matrix of the impurity\nspin and one conduction electron spin is given by a Werner state. We find that\nthe impurity spin is not entangled with one conduction electron spin even\nwithin the Kondo screening length $\\xi_K$, although there is the spin-spin\ncorrelation between them. Third, we show the density matrix of two conduction\nelectron spins is nearly same to that of a free electron gas. The single\nimpurity does not change the entanglement structure of the conduction electrons\nin contrast to the dramatic change in electrical resistance.",
"arxiv_id": "quant-ph/0601166",
"authors": [
"Sangchul Oh",
"Jaewan Kim"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevB.73.052407",
"journal_ref": "Physical Review B 73, 052407 (2006)",
"title": "Entanglement of an impurity and conduction spins in the Kondo model",
"url": "https://arxiv.org/abs/quant-ph/0601166"
},
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