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Fermionic entanglement in itinerant systems
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We study pairwise quantum entanglement in systems of fermions itinerant in a lattice from a second-quantized perspective. Entanglement in the grand-canonical ensemble is studied, both for energy eigenstates and for the thermal state. Relations between entanglement and superconducting correlations are discussed in a BCS-like model and for η-pair superconductivity.
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“On the other hand, entanglement is appointed to play a central role in the study of strongly correlated quantum systems [7][8][9], since a highly entangled ground state is at the heart of a large variety of collective quantum phenomena.”
From Entanglement in Quantum Critical Phenomena (2003) · cites this paper as [9]
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“er a Fock space with four annihilation operators, corresponding to the four possible combinations of spin and species: φb [r]i, r,i= 1,2, (43) where n φb [r]i, φb [s]j o = n φb† [r]i, φb† [s]j o = 0, (44) n φb [r]i, φb† [s]j o = δrsδij. (45) Curly brackets denote the anticommutator, n A,bBb o = AbBb+BbAb. The vacuum (…”
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FINITE SIZE EFFECTS IN ENTANGLED RINGS OF QUBITS
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Metadata
- Authors
- Zanardi, P., & Wang, X.
- Affiliations
- Institute for Scientific Interchange (IT)
- ORCID
- Wang, Xiaoguang
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2002-09-05
- Volume
- 35
- Issue
- 37
- Pages
- 7947-7959
- ISSN
- 0305-4470 (ISSN-L)
- OpenAlex
- W1973324548
- Cited by
- 125
- References
- 38
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 1 · 2022: 1 · 2021: 1 · 2020: 2 · 2019: 3 · 2018: 5 · 2017: 9 · 2016: 4 · 2015: 4 · 2014: 6 · 2013: 2 · 2012: 4
- FWCI
- 10.48
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics A Mathematical and General (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Keywords
- fermionic entanglement, itinerant fermions, grand canonical ensemble, thermal states, superconducting correlations, BCS theory, second quantization
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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