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

Emptiness formation probability of the integrable higher-spin XXX and XXZ spin chains through the fusion method

Tetsuo Deguchi, Chihiro Matsui

Published Jul 3, 2009• 2 citations
OpenAlex

Related papers

Asymptotic behavior of the emptiness formation probability in the critical phase of XXZ spin chain

V.E. Korepin, S. Lukyanov, Y. Nishiyama +1 more

arXiv:cond-mat/0210140•Physics Letters A•May 13, 2003•40 citations

Emptiness Formation Probability in the Spin-1/2 XXZ Heisenberg Chain

N. A. Slavnov

Theoretical and Mathematical Physics•Apr 1, 2004•0 citations

Emptiness formation probability for the anisotropic XY spin chain in a magnetic field

Alexander G. Abanov, Fabio Franchini

arXiv:cond-mat/0307001•Physics Letters A•Sep 1, 2003•37 citations

Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry

Tetsuo Deguchi, Chihiro Matsui

arXiv:0807.1847•Nuclear Physics B•Jan 9, 2009•16 citations

Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method

Tetsuo Deguchi, Chihiro Matsui

For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula expressing it by a single term of multiple integrals. In particular, we explicitly derive the emptiness formation probability (EFP). We assume 2s-strings for the ground-state solution of the Bethe-ansatz equations for the spin-s XXZ chain, and solve the integral equations for the spin-s Gaudin matrix. In terms of the XXZ coupling Δ we define ζ by Δ=cosζ, and put it in a region 0⩽ζ<π/2s of the gapless regime: −1<Δ⩽1 (0⩽ζ<π), where Δ=1 (ζ=0) corresponds to the antiferromagnetic point. We calculate the zero-temperature correlation functions by the algebraic Bethe-ansatz, introducing the Hermitian elementary matrices in the massless regime, and taking advantage of the fusion construction of the R-matrix of the higher-spin representations of the affine quantum group.

arXiv:0907.0582•Nuclear Physics B•Jan 5, 2010•21 citations

Asymptotic Behavior of the Emptiness Formation Probability in the Critical Phase of XXZ Spin Chain

V. E. Korepin, C.N. Yang, Sergei L. Lukyanov +2 more

We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P (n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P (n) n . Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent . In order to con rm the validity of our formulae, we employed an ab initio simulation technique of the density-matrix renormalization group to simulate XXZ spin chain of sucient length. Furthermore, we performed Monte-Carlo integration of the Jimbo-Miwa multiple integral for P (n). Those numerical results for P (n) support our formulae fairly de nitely.

•Nov 21, 2007•27 citations
For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula expressing it by a single term of multiple integrals. In particular, we explicitly derive the emptiness formation probability (EFP). We assume 2s-strings for the ground-state solution of the Bethe-ansatz equations for the spin-s XXZ chain, and solve the integral equations for the spin-s Gaudin matrix. In terms of the XXZ coupling Δ we define ζ by Δ=cosζ, and put it in a region 0⩽ζ<π/2s of the gapless regime: −1<Δ⩽1 (0⩽ζ<π), where Δ=1 (ζ=0) corresponds to the antiferromagnetic point. We calculate the zero-temperature correlation functions by the algebraic Bethe-ansatz, introducing the Hermitian elementary matrices in the massless regime, and taking advantage of the fusion construction of the R-matrix of the higher-spin representations of the affine quantum group.
We study the Emptiness Formation Probability (EFP) for the spin 1/2 XXZ spin chain. EFP P (n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P (n) n . Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent . In order to con rm the validity of our formulae, we employed an ab initio simulation technique of the density-matrix renormalization group to simulate XXZ spin chain of sucient length. Furthermore, we performed Monte-Carlo integration of the Jimbo-Miwa multiple integral for P (n). Those numerical results for P (n) support our formulae fairly de nitely.