Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Reports on Mathematical Physics

On clustering property

Huzihiro Araki, Akitaka Kishimoto

Published Oct 1, 1976• 5 citations
Publisher
DOI
10.1016/0034-4877(76)90049-5

Related papers

Parastatistics and cluster property

Thien Vo-Dai

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento•May 1, 1973•1 citation

On clustering states

Hideo Miyata

Communications in Mathematical Physics•Mar 1, 1973•2 citations

Bivariational coupled-cluster method: Equations for first-order property

Keya Basu Ghose, Sourav Pal

Equations are presented for the first-order property using our recently developed bivariational coupled-cluster approach for calculation of static property in a two-body approximation of the cluster parameters.

Physical Review A•Aug 1, 1987•18 citations

Cluster algorithms

Ferenc Niedermayer A

arXiv:hep-lat/9704009•Springer eBooks•Apr 7, 2008•4 citations

Cluster Property and Pure Phases

Franco Strocchi

The irreducible (physically relevant) representations selected in the previous section have a further important property, calledCluster property cluster property.

Theoretical and mathematical physics•Jan 1, 2021•0 citations

Cluster property and entanglement in the superconducting state

Katsuhiko Higuchi, Masahiko Higuchi

We present the conditions for satisfying the cluster property in the superconducting state. Using these conditions, we show that the cluster property employed when deriving the order parameter of the superconducting state (OPSS) holds true, and that the OPSS is given by ${}_S\langle Ψ| \hatψ(x)\hatψ(x') | Ψ\rangle_S$, where $|Ψ\rangle_S$ is the superconducting state, and where $\hatψ(x)$ is the field operator of superconducting electrons. This provides a resolution to the long-standing concern raised by Leggett et al.\ regarding particle-number fluctuation in the superconducting state. In addition, by considering the entanglement between two particles composed of the maximum geminal of the BCS ground state [J.\ Phys. Commun. 5, 095003 (2021)], it is confirmed that the larger the deviation from the conditions for satisfying the cluster property becomes, the greater the magnitude of the entanglement becomes. This shows not only the effectiveness of the conditions for satisfying the cluster property but also the justification of the OPSS that has been commonly used.

cond-mat.supr-conCross-listedarXiv:2610.30581•Oct 23, 2026•0 citations
We present the conditions for satisfying the cluster property in the superconducting state. Using these conditions, we show that the cluster property employed when deriving the order parameter of the superconducting state (OPSS) holds true, and that the OPSS is given by S⟨Ψ∣ψ^(x)ψ^(x′)∣Ψ⟩S{}_S\langle Ψ| \hatψ(x)\hatψ(x') | Ψ\rangle_SS​⟨Ψ∣ψ^​(x)ψ^​(x′)∣Ψ⟩S​, where ∣Ψ⟩S|Ψ\rangle_S∣Ψ⟩S​ is the superconducting state, and where ψ^(x)\hatψ(x)ψ^​(x) is the field operator of superconducting electrons. This provides a resolution to the long-standing concern raised by Leggett et al.\ regarding particle-number fluctuation in the superconducting state. In addition, by considering the entanglement between two particles composed of the maximum geminal of the BCS ground state [J.\ Phys. Commun. 5, 095003 (2021)], it is confirmed that the larger the deviation from the conditions for satisfying the cluster property becomes, the greater the magnitude of the entanglement becomes. This shows not only the effectiveness of the conditions for satisfying the cluster property but also the justification of the OPSS that has been commonly used.