Fermionic entanglement in itinerant systems
Open accessAbstract
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.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Bardeen, J., Cooper, L. N., & Schrieffer, J. R. (1957) · Physical Review · doi:10.1103/physrev.108.1175 · Cited by 13,275 · see citing works
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290 · see citing works
Subir Sachdev, A. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,675 · see citing works
Three qubits can be entangled in two inequivalent ways
Dür, W., Vidal, G., & Cirac, J. I. (2000) · Physical Review A · doi:10.1103/physreva.62.062314 · Cited by 3,384 · see citing works
Quantum information and computation
Bennett, C. H., & DiVincenzo, D. P. (2000) · Nature · doi:10.1038/35005001 · Cited by 3,263 · see citing works
Entanglement of a pair of quantum bits
Hill, S., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.5022 · Cited by 2,823 · see citing works
�ber das Paulische �quivalenzverbot
Jordan, P., & Wigner, E. (1928) · Zeitschrift f�r Physik · doi:10.1007/bf01331938 · Cited by 2,597 · see citing works
Scaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860 · see citing works
Sachdev, S. (2006) · Encyclopedia of Mathematical Physics · doi:10.1016/b0-12-512666-2/00132-2 · Cited by 1,565 · see citing works
Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
Yang, C. N. (1962) · Reviews of Modern Physics · doi:10.1103/revmodphys.34.694 · Cited by 1,442 · see citing works
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391 · see citing works
About the Pauli exclusion principle
Jordán, P., & Wigner, E. P. (1928) · Cited by 951 · see citing works
Die gegenw�rtige Situation in der Quantenmechanik
Schr�dinger, E. (1935) · Die Naturwissenschaften · doi:10.1007/bf01491987 · Cited by 832 · see citing works
Natural Thermal and Magnetic Entanglement in the 1D Heisenberg Model
Arnesen, M. C., Bose, S., & Vedral, V. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.017901 · Cited by 787 · see citing works
Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
Abrams, D. S., & Lloyd, S. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.2586 · Cited by 745 · see citing works
η pairing and off-diagonal long-range order in a Hubbard model
Yang, C. N. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.2144 · Cited by 603 · see citing works
Entanglement in the quantum Heisenberg XY model
Wang, X. (2001) · Physical Review A · doi:10.1103/physreva.64.012313 · Cited by 576 · see citing works
Self-citationQuantum Information Processing with Semiconductor Macroatoms
Biolatti, E., Iotti, R. C., Zanardi, P., & Rossi, F. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.5647 · Cited by 474 · see citing works
Quantum entanglement in fermionic lattices
Zanardi, P. (2002) · Physical Review A · doi:10.1103/physreva.65.042101 · Cited by 447 · see citing works
SO 4 SYMMETRY IN A HUBBARD MODEL
Yang, C. N., & Zhang, S. C. (1990) · Modern Physics Letters B · doi:10.1142/s0217984990000933 · Cited by 399 · see citing works
Quantum correlations in two-fermion systems
Schliemann, J., Cirac, J. I., Kuś, M., Lewenstein, M., & Loss, D. (2001) · Physical Review A · doi:10.1103/physreva.64.022303 · Cited by 393 · see citing works
Quantum Correlations in Systems of Indistinguishable Particles
Eckert, K., Schliemann, J., Bruß, D., & Lewenstein, M. (2002) · Annals of Physics · doi:10.1006/aphy.2002.6268 · Cited by 388 · see citing works
Noise of entangled electrons: Bunching and antibunching
Burkard, G., Loss, D., & Sukhorukov, E. V. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.61.r16303 · Cited by 251 · see citing works
Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots
Schliemann, J., Loss, D., & MacDonald, A. H. (2001) · Physical review. B, Condensed matter · doi:10.1103/physrevb.63.085311 · Cited by 239 · see citing works
Quantum entanglement and Bell inequalities in Heisenberg spin chains
Wang, X., & Paolo Zanardi, A. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)00885-x · Cited by 224 · see citing works
Self-citationEntanglement in a two-identical-particle system
Li, Y. S., Zeng, B., Liu, X. S., & Long, G. (2001) · Physical Review A · doi:10.1103/physreva.64.054302 · Cited by 159 · see citing works
Quantum entanglement and Bell inequalities in Heisenberg spin chains
Wang, X., & Paolo Zanardi, A. (2002) · CERN Document Server (European Organization for Nuclear Research) · Cited by 145 · see citing works
Self-citationThermal entanglement in three-qubit Heisenberg models
Wang, X., Fu, H., & Solomon, A. I. (2001) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/34/50/312 · Cited by 144 · see citing works
Self-citationEntangled webs: Tight bound for symmetric sharing of entanglement
Koashi, M., Bužek, V., & Imoto, N. (2000) · Physical Review A · doi:10.1103/physreva.62.050302 · Cited by 143 · see citing works
Biolatti, E., D’Amico, I., Zanardi, P., & Rossi, F. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.65.075306 · Cited by 121 · see citing works
Thermal entanglement in three-qubit Heisenberg models
Wang, X., Fu, H., & Solomon, A. I. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 108 · see citing works
Self-citationPairwise entanglement in symmetric multi-qubit systems
Wang, X., & Mølmer, K. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 83 · see citing works
Self-citationPairwise entanglement in symmetric multi-qubit systems
Wang, X., & Mølmer, K. (2002) · The European Physical Journal D · doi:10.1140/epjd/e20020045 · Cited by 64 · see citing works
Self-citationOff-diagonal long-range order and the Meissner effect
Sewell, G. L. (1990) · Journal of Statistical Physics · doi:10.1007/bf01013973 · Cited by 57 · see citing works
Off-diagonal long-range order: Meissner effect and flux quantization
Nieh, H. T., Su, G., & Zhao, B. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.51.3760 · Cited by 52 · see citing works
Unitary transformations for testing Bell inequalities
Bartlett, S. D., Rice, D. A., Sanders, B. C., Daboul, J., & de Guise, H. (2001) · Physical Review A · doi:10.1103/physreva.63.042310 · Cited by 21 · see citing works
Decoherence: A Dynamical Approach to Superselection Rules?
Giulini, D. (2007) · Springer eBooks · doi:10.1007/3-540-45369-5_4 · Cited by 8 · see citing works
Coherent pairing states for the Hubbard model
Solomon, A. I., & Penson, K. A. (1998) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/31/18/004 · Cited by 6 · see citing works
Quantum information theoryPreprint
Nielsen, M. A. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0011036 · Cited by 1 · see citing works
Flagged first, then by citations
Research works printed but not linked: 11
- 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
- Gittings J and Fisher A 2002 Preprint quant-ph/0202051 · arXiv
- Bravyi S B and Kitaev A Yu 2000 Preprint quant-ph/0003137 · arXiv
- Paunkovic N, Omar Y, Bose S and Vedral V 2001 Preprint quant-ph/0112004 · arXiv
- Omar Y, Paunkovic N, Bose S and Vedral V 2001 Preprint quant-ph/0105120 · arXiv
- Meyer D A and Wallach N R 2001 Preprint quant-ph/0108104 · arXiv
- Osborne T J and Nielsen M A 2001 Preprint quant-ph/0109024 · arXiv
- Osborne T J and Nielsen M A 2002 Preprint quant-ph/0202162 · arXiv
- For a related analysis see also Wu L A and Lidar D 2001 Preprint quant-ph/0109078 · arXiv
- See for example Giulini D 2000 Lect. Notes Phys. 559 67 (Preprint quant-ph/0010090) · arXiv
- Aharonov D 1999 Preprint quant-ph/9910081 · arXiv
Cited by
Sorted by citations
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118 · see citing works
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793 · see citing works
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104 · see citing works
Entanglement versus Correlations in Spin Systems
Verstraete, F., Popp, M., & Cirac, J. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.027901 · Cited by 454 · see citing works
Entanglement and Quantum Phase Transition in the Extended Hubbard Model
Gu, S.-J., Deng, S., Li, Y., & Lin, H.-Q. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.086402 · Cited by 424 · see citing works
Entanglement of Indistinguishable Particles Shared between Two Parties
Wiseman, H. M., & Vaccaro, J. A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.097902 · Cited by 366 · see citing works
Bipartite entanglement and entropic boundary law in lattice spin systems
Hamma, A., Ionicioiu, R., & Paolo Zanardi, A. (2005) · Physical Review A · doi:10.1103/physreva.71.022315 · Cited by 298 · see citing works
Dynamics of entanglement in one-dimensional spin systems
Luigi Amico, A., Osterloh, A., Plastina, F., Fazio, R., & Palma, G. M. (2004) · Physical Review A · doi:10.1103/physreva.69.022304 · Cited by 281 · see citing works
Fakultät für Physik und Astronomie
Physik, Schultz-Coulon, H.-C., Herrmann, N., Levin, I., & Ostrowski, A. (2007) · Cited by 288 · see citing works
Popp, M., Verstraete, F., Martin-Delgado, M. A., & Cirac, J. I. (2005) · Physical Review A · doi:10.1103/physreva.71.042306 · Cited by 237 · see citing works
Essential entanglement for atomic and molecular physics
Tichy, M. C., Mintert, F., & Buchleitner, A. (2011) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/44/19/192001 · Cited by 220 · see citing works
Quantum discord and its allies: a review of recent progress
Bera, A., Das, T., Sadhukhan, D., Roy, S. S., Sen, A., & Sen, U. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa872f · Cited by 221 · see citing works
Generalizations of entanglement based on coherent states and convex sets
Barnum, H., Knill, E. H., Ortíz, G., & Viola, L. (2003) · Physical Review A · doi:10.1103/physreva.68.032308 · Cited by 152 · see citing works
Spatial structures and localization of vacuum entanglement in the linear harmonic chain
Botero, A., & Reznik, B. (2004) · Physical Review A · doi:10.1103/physreva.70.052329 · Cited by 150 · see citing works
Wang, X. (2002) · Physical Review A · doi:10.1103/physreva.66.044305 · Cited by 150 · see citing works
Self-citationEntanglement in fermionic systems
Bañuls, M. C., Cirac, J. I., & Wolf, M. M. (2007) · Physical Review A · doi:10.1103/physreva.76.022311 · Cited by 143 · see citing works
Quantum phase transitions and quantum fidelity in free fermion graphs
Cozzini, M., Giorda, P., & Paolo Zanardi, A. (2007) · Physical Review B · doi:10.1103/physrevb.75.014439 · Cited by 149 · see citing works
Long-distance entanglement and quantum teleportation in XX spin chains
Venuti, L. C., Giampaolo, S. M., Illuminati, F., & Paolo Zanardi, A. (2007) · Physical Review A · doi:10.1103/physreva.76.052328 · Cited by 141 · see citing works
High-temperature macroscopic entanglement
Vedral, V. (2004) · New Journal of Physics · doi:10.1088/1367-2630/6/1/102 · Cited by 134 · see citing works
Renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
Kargarian, M., Jafari, R., & Langari, A. (2008) · Physical Review A · doi:10.1103/physreva.77.032346 · Cited by 124 · see citing works
Entanglement in indistinguishable particle systems
Benatti, F., Roberto Floreanini, B., Franchini, F., & Marzolino, U. (2020) · Physics Reports · doi:10.1016/j.physrep.2020.07.003 · Cited by 120 · see citing works
Efficient generation of graph states for quantum computation
Clark, S. R., Alves, C. M., & Jaksch, D. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/124 · Cited by 97 · see citing works
Kargarian, M., Jafari, R., & Langari, A. (2007) · Physical Review A · doi:10.1103/physreva.76.060304 · Cited by 97 · see citing works
Floquet dynamical phase transition and entanglement spectrum
Jafari, R., & Akbari, A. (2021) · Physical Review A · doi:10.1103/physreva.103.012204 · Cited by 75 · see citing works
Block-block entanglement and quantum phase transitions in the one-dimensional extended Hubbard model
Deng, S., Gu, S.-J., & Lin, H.-Q. (2006) · Physical Review B · doi:10.1103/physrevb.74.045103 · Cited by 76 · see citing works
Quantum fidelity and thermal phase transitions
Quan, H. T., & Cucchietti, F. (2009) · Physical Review E · doi:10.1103/physreve.79.031101 · Cited by 68 · see citing works
Pairing in fermionic systems: A quantum-information perspective
Kraus, C. V., Wolf, M. M., Cirac, J. I., & Giedke, G. (2009) · Physical Review A · doi:10.1103/physreva.79.012306 · Cited by 66 · see citing works
Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction
Gu, S.-J., Li, H., Li, Y., & Lin, H.-Q. (2004) · Physical Review A · doi:10.1103/physreva.70.052302 · Cited by 65 · see citing works
Some Puzzles and Unresolved Issues About Quantum Entanglement
Earman, J. (2014) · Erkenntnis · doi:10.1007/s10670-014-9627-8 · Cited by 62 · see citing works
Bipartite entanglement in systems of identical particles: The partial transposition criterion
Benatti, F., Roberto Floreanini, B., & Marzolino, U. (2012) · Annals of Physics · doi:10.1016/j.aop.2012.02.002 · Cited by 62 · see citing works
Long-distance entanglement in many-body atomic and optical systems
Giampaolo, S. M., & Illuminati, F. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/2/025019 · Cited by 59 · see citing works
Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems
Buscemi, F., Bordone, P., & Bertoni, A. (2006) · Physical Review A · doi:10.1103/physreva.73.052312 · Cited by 53 · see citing works
Quantum entanglement in second-quantized condensed matter systems
Shi, Y. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/26/014 · Cited by 53 · see citing works
BCS-like modewise entanglement of fermion Gaussian states
Botero, A., & Reznik, B. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.08.037 · Cited by 46 · see citing works
Quantum teleportation with identical particles
Marzolino, U., & Buchleitner, A. (2015) · Physical Review A · doi:10.1103/physreva.91.032316 · Cited by 43 · see citing works
Symmetry-breaking effects upon bipartite and multipartite entanglement in the XY model
de Oliveira, T. R., Rigolin, G., de Oliveira, M. C., & Miranda, E. (2008) · Physical Review A · doi:10.1103/physreva.77.032325 · Cited by 42 · see citing works
Quantum-information processing in bosonic lattices
Ionicioiu, R., & Paolo Zanardi, A. (2002) · Physical Review A · doi:10.1103/physreva.66.050301 · Cited by 39 · see citing works
Mehran, E., Mahdavifar, S., & Jafari, R. (2014) · Physical Review A · doi:10.1103/physreva.89.042306 · Cited by 39 · see citing works
França, V. V., & Capelle, K. (2006) · Physical Review A · doi:10.1103/physreva.74.042325 · Cited by 38 · see citing works
Ground-State Entanglement of the BCS Model
Dunning, C., Links, J., & Zhou, H.-Q. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.227002 · Cited by 39 · see citing works
Equilibrium entanglement vanishes at finite temperature
Fine, B. V., Mintert, F., & Buchleitner, A. (2005) · Physical Review B · doi:10.1103/physrevb.71.153105 · Cited by 35 · see citing works
Quantifying entanglement production of quantum operations
Yukalov, V. I. (2003) · Physical Review A · doi:10.1103/physreva.68.022109 · Cited by 35 · see citing works
Mean-field approximations and multipartite thermal correlations
Vedral, V. (2004) · New Journal of Physics · doi:10.1088/1367-2630/6/1/022 · Cited by 34 · see citing works
Quantum-state transfer characterized by mode entanglement
Qian, X., Li, Y., Li, Y., Song, Z., & Sun, C. P. (2005) · Physical Review A · doi:10.1103/physreva.72.062329 · Cited by 29 · see citing works
Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
Hamieh, S., & Katsnelson, M. I. (2005) · Physical Review A · doi:10.1103/physreva.72.032316 · Cited by 28 · see citing works
Javanmard, Y., Trapin, D., Bera, S., Bardarson, J. H., & Heyl, M. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aad9ba · Cited by 27 · see citing works
Quasi-particle entanglement: redefinition of the vacuum and reduced density matrix approach
Samuelsson, P., Sukhorukov, E. V., & Büttiker, Μ. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/176 · Cited by 27 · see citing works
Entanglement in a QFT Model of Neutrino Oscillations
Massimo Blasone, A., Dell’Anno, F., Siena, S. D., & Illuminati, F. (2014) · Advances in High Energy Physics · doi:10.1155/2014/359168 · Cited by 26 · see citing works
Canonical entanglement for two indistinguishable particles
Wang, X., & Sanders, B. C. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/5/l03 · Cited by 24 · see citing works
Self-citationEntanglement and off-diagonal long-range order of an η-pairing state
Fan, H., & Lloyd, S. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/23/014 · Cited by 27 · see citing works
Many-body entanglement in a topological chiral ladder
Nehra, R., Bhakuni, D. S., Gangadharaiah, S., & Sharma, A. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.045120 · Cited by 24 · see citing works
Quantum entanglement in states generated by bilocal group algebras
Hamma, A., Ionicioiu, R., & Paolo Zanardi, A. (2005) · Physical Review A · doi:10.1103/physreva.72.012324 · Cited by 24 · see citing works
Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
Wang, X., Li, H., & Hu, B. (2004) · Physical Review A · doi:10.1103/physreva.69.054303 · Cited by 22 · see citing works
Self-citationFermionic Concurrence in the Extended Hubbard Model
Shu-Sa, D., & Shi-Jian, G. (2005) · Chinese Physics Letters · doi:10.1088/0256-307x/22/4/007 · Cited by 21 · see citing works
Performances and robustness of quantum teleportation with identical particles
Marzolino, U., & Buchleitner, A. (2016) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2015.0621 · Cited by 18 · see citing works
Local entropies across the Mott transition in an exactly solvable model
Yeo, L., & Phillips, P. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.094030 · Cited by 18 · see citing works
Scaling of entanglement at a quantum phase transition for a two-dimensional array of quantum dots
Wang, J., & Kais, S. (2004) · Physical Review A · doi:10.1103/physreva.70.022301 · Cited by 19 · see citing works
Entanglement in systems of indistinguishable fermions
Bañuls, M. C., Cirac, J. I., & Wolf, M. M. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/171/1/012032 · Cited by 16 · see citing works
Mode entanglement and entangling power in bosonic graphs
Giorda, P., & Paolo Zanardi, A. (2003) · Physical Review A · doi:10.1103/physreva.68.062108 · Cited by 17 · see citing works
Unextendible product basis for fermionic systems
Chen, J., Chen, L., & Zeng, B. (2014) · Journal of Mathematical Physics · doi:10.1063/1.4893358 · Cited by 16 · see citing works
Entanglement and quantum order parameters
Brandão, F. G. S. L. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/254 · Cited by 17 · see citing works
Quantum correlations of identical particles subject to classical environmental noise
Beggi, A., Buscemi, F., & Bordone, P. (2016) · Quantum Information Processing · doi:10.1007/s11128-016-1334-8 · Cited by 16 · see citing works
Particle partition entanglement of one dimensional spinless fermions
Barghathi, H., Casiano-Diaz, E., & Maestro, A. D. (2017) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/aa819a · Cited by 15 · see citing works
Bipartite entanglement and localization of one-particle states
Li, H., Wang, X., & Hu, B. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/44/014 · Cited by 21 · see citing works
Self-citationBipartite entanglement and localization of one-particle states
Li, H., Wang, X., & Hu, B. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 14 · see citing works
Self-citationLocality in the Everett Interpretation of Quantum Field Theory
Rubin, M. A. (2002) · Foundations of Physics · doi:10.1023/a:1020477902039 · Cited by 13 · see citing works
Entanglement generation through particle detection in systems of identical fermions
Bouvrie, P. A., Valdés-Hernández, A., Majtey, A. P., Zander, C., & Plastino, A. R. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.06.004 · Cited by 13 · see citing works
Ground-state entanglement in interacting bosonic graphs
Giorda, P., & Paolo Zanardi, A. (2004) · Europhysics Letters (EPL) · doi:10.1209/epl/i2004-10129-2 · Cited by 18 · see citing works
Two-point entanglement near a quantum phase transition
Chen, H.-D. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/33/017 · Cited by 13 · see citing works
Mahdavifar, S., Bakhshipour, Z., Vahedi, J., & Soltani, M. R. (2015) · Journal of Superconductivity and Novel Magnetism · doi:10.1007/s10948-014-2944-y · Cited by 12 · see citing works
Interplay between charge and spin thermal entanglement in Hubbard dimers
Souza, F., Almeida, G. M. A., Lyra, M. L., & Pereira, M. S. S. (2020) · Physical Review A · doi:10.1103/physreva.102.032421 · Cited by 11 · see citing works
Quantum probabilities and entanglement for multimode quantum systems
Yukalov, V. I., Yukalova, E. P., & Sornette, D. (2014) · Journal of Physics Conference Series · doi:10.1088/1742-6596/497/1/012034 · Cited by 10 · see citing works
Enhancement of nearest-neighbor entanglement in one-dimensional disordered systems
López-Sandoval, R., & Garcia, M. E. (2006) · Physical Review B · doi:10.1103/physrevb.74.174204 · Cited by 11 · see citing works
Segre maps and entanglement for multipartite systems of indistinguishable particles
Grabowski, J., Kuś, M., & Marmo, G. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/10/105301 · Cited by 12 · see citing works
Properties of Parity Non-conserved and Parity Conserved States in Matrix Product Systems
Zhu, J.-M. (2010) · Communications in Theoretical Physics · doi:10.1088/0253-6102/54/2/31 · Cited by 11 · see citing works
Ground-State Entanglement in Interacting Bosonic Graphs
Giorda, P., & Paolo Zanardi, A. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 11 · see citing works
Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials
Long-Yan, G., & Pei-Qing, T. (2005) · Chinese Physics Letters · doi:10.1088/0256-307x/22/11/009 · Cited by 9 · see citing works
Bipartite mode entanglement of bosonic condensates on tunneling graphs
Paolo Zanardi, A. (2003) · Physical Review A · doi:10.1103/physreva.67.054301 · Cited by 9 · see citing works
Entanglement generation through particle detection in systems of identical fermions
Bouvrie, P. A., Valdés Hernández, A., Majtey, A. P., Zander, C., & Plastino, A. R. (2017) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 9 · see citing works
Long-Yan, G., & Pei-Qing, T. (2008) · Chinese Physics B · doi:10.1088/1674-1056/17/2/052 · Cited by 9 · see citing works
FINITE SIZE EFFECTS IN ENTANGLED RINGS OF QUBITS
Meyer, T., Poulsen, U. V., Eckert, K., Lewenstein, M., & Bruß, D. (2004) · International Journal of Quantum Information · doi:10.1142/s0219749904000158 · Cited by 9 · see citing works
Pairwise entanglement and the Mott transition for correlated electrons in nanochains
Rycerz, A. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa6bdd · Cited by 8 · see citing works
Generalized concurrence and quantum phase transition in spin-1 Heisenberg model
Bahmani, H., Najarbashi, G., & Tavana, A. (2019) · Physica Scripta · doi:10.1088/1402-4896/ab606e · Cited by 7 · see citing works
Multi-distributed entanglement in finitely correlated chains
Benatti, F., Hiesmayr, B. C., & Narnhofer, H. (2005) · Europhysics Letters (EPL) · doi:10.1209/epl/i2005-10204-2 · Cited by 8 · see citing works
Liu, X.-M., Shao, H.-B., & Zeng, X.-X. (2017) · Advances in High Energy Physics · doi:10.1155/2017/6402101 · Cited by 8 · see citing works
Effects of environmental parameters to total, quantum and classical correlations
Chan, W.-L., Cao, J.-P., Yang, D., & Gu, S.-J. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/40/009 · Cited by 8 · see citing works
From quantum correlations in dissipative quantum walk to two-qubit systems
Nizama, M., & Cáceres, M. O. (2013) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2013.12.006 · Cited by 6 · see citing works
Dey, A., Bhakuni, D. S., Agarwalla, B. K., & Sharma, A. (2019) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ab5317 · Cited by 7 · see citing works
Giorda, P., & Anfossi, A. (2008) · Physical Review A · doi:10.1103/physreva.78.012106 · Cited by 7 · see citing works
Numerical Computation of Localizable Entanglement in Spin Chains
Popp, M., Verstraete, F., Martin-Delgado, M. A., & Cirac, J. I. (2005) · Applied Physics B · doi:10.1007/s00340-005-2069-x · Cited by 7 · see citing works
Time-Stretched Spectroscopy by the Quantum Zeno Effect: The Case of Auger Decay
Boström, E. V., Gisselbrecht, M., Brage, T., Almbladh, C. ‐., Mikkelsen, A., & Verdozzi, C. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.233201 · Cited by 6 · see citing works
Genetic algorithm optimization of entanglement
Navarro-Muñoz, J. C., Rosu, H. C., & López-Sandoval, R. (2006) · Physical Review A · doi:10.1103/physreva.74.052308 · Cited by 6 · see citing works
Kaplan, T. A. (2005) · Fluctuation and Noise Letters · doi:10.1142/s0219477505002471 · Cited by 6 · see citing works
Multi-distributed Entanglement in Finitely Correlated Chains
Benatti, F., Hiesmayr, B. C., & Narnhofer, H. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6 · see citing works
Effects of environmental parameters to total, quantum and classical correlations
Chan, W. L., Cao, J. P., Gu, S. J., & Yang, D. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6 · see citing works
Remanent quantum correlations in dissipative qubits
Nizama, M., & Cáceres, M. O. (2013) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2013.07.055 · Cited by 4 · see citing works
Entanglement entropy on finitely ramified graphs
Akal, I. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.106003 · Cited by 5 · see citing works
Configuration-space location of the entanglement between two subsystems
Lin, H.-C., & Fisher, A. J. (2007) · Physical Review A · doi:10.1103/physreva.75.032330 · Cited by 5 · see citing works
How to observe duality in entanglement of two distinguishable particles
Karczewski, M., & Kurzyński, P. (2016) · Physical Review A · doi:10.1103/physreva.94.032124 · Cited by 5 · see citing works
Multipartite entanglement in fermionic systems via a geometric measure
Lari, B., Durganandini, P., & Joag, P. S. (2010) · Physical Review A · doi:10.1103/physreva.82.062302 · Cited by 5 · see citing works
- 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 › 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
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 ›
Are you an author, or do you see a problem with this page? Request a review