Cited by 125Quantum many-body systemsQuantum Information and CryptographyCold Atom Physics and Bose-Einstein Condensates

Fermionic entanglement in itinerant systems

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Zanardi, Paolo, Wang, Xiaoguang·2002·Journal of Physics A: Mathematical and General

Abstract

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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Crossref · 10.1088/0305-4470/35/37/307

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  • A highly entangled ground state is at the heart of a large variety of collective quantum phenomena.

    “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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Research works printed but not linked: 11

  1. For a review, see Horodecki M, Horodecki P and Horodecki R Quantum Information-Basic Concepts and Experiments ed G Alber and M Weiner (Berlin: Springer) at press
  2. Gittings J and Fisher A 2002 Preprint quant-ph/0202051 · arXiv
  3. Bravyi S B and Kitaev A Yu 2000 Preprint quant-ph/0003137 · arXiv
  4. Paunkovic N, Omar Y, Bose S and Vedral V 2001 Preprint quant-ph/0112004 · arXiv
  5. Omar Y, Paunkovic N, Bose S and Vedral V 2001 Preprint quant-ph/0105120 · arXiv
  6. Meyer D A and Wallach N R 2001 Preprint quant-ph/0108104 · arXiv
  7. Osborne T J and Nielsen M A 2001 Preprint quant-ph/0109024 · arXiv
  8. Osborne T J and Nielsen M A 2002 Preprint quant-ph/0202162 · arXiv
  9. For a related analysis see also Wu L A and Lidar D 2001 Preprint quant-ph/0109078 · arXiv
  10. See for example Giulini D 2000 Lect. Notes Phys. 559 67 (Preprint quant-ph/0010090) · arXiv
  11. Aharonov D 1999 Preprint quant-ph/9910081 · arXiv

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Authors
Zanardi, P., & Wang, X.
Affiliations
Institute for Scientific Interchange (IT)
Venue
Journal of Physics A: Mathematical and General
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
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 › Computer Science › Artificial Intelligence › 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

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