dorsal/arxiv
View SchemaEnsemble averaged entanglement of two-particle states in Fock space
| Authors | Jan Naudts, Tobias Verhulst |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703243 |
| URL | https://arxiv.org/abs/quant-ph/0703243 |
| DOI | 10.1103/PhysRevA.75.062104 |
Abstract
Recent results, extending the Schmidt decomposition theorem to wavefunctions of identical particles, are reviewed. They are used to give a definition of reduced density operators in the case of two identical particles. Next, a method is discussed to calculate time averaged entanglement. It is applied to a pair of identical electrons in an otherwise empty band of the Hubbard model, and to a pair of bosons in the the Bose-Hubbard model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasised.
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"abstract": "Recent results, extending the Schmidt decomposition theorem to wavefunctions\nof identical particles, are reviewed. They are used to give a definition of\nreduced density operators in the case of two identical particles. Next, a\nmethod is discussed to calculate time averaged entanglement. It is applied to a\npair of identical electrons in an otherwise empty band of the Hubbard model,\nand to a pair of bosons in the the Bose-Hubbard model with infinite range\nhopping. The effect of degeneracy of the spectrum of the Hamiltonian on the\naverage entanglement is emphasised.",
"arxiv_id": "quant-ph/0703243",
"authors": [
"Jan Naudts",
"Tobias Verhulst"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062104",
"title": "Ensemble averaged entanglement of two-particle states in Fock space",
"url": "https://arxiv.org/abs/quant-ph/0703243"
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