Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
By N. Kitanine, K. Kozlowski, J. Maillet, N. Slavnov, V. Terras. 2008
143 citations recorded by the source corpus.
We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin–spin correlation function of the XXZ Heisenberg spin- 1/2 chain (with magnetic field) in the disordered regime as well as to the density–density correlation function of the interacting one-dimensional Bose gas. At leading order, the results confirm the Luttinger liquid and conformal field theory predictions.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/2d9dd970d8d184918df5853f36a885c56b792ae7
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “Further developments in the theoretical study of correlation functions have been reported (Calabrese and Caux, 2007; Caux and Calabrese, 2006; Caux et al., 2007; Gangardt and Shlyapnikov, 2003a,b; Kitanine et al., 2009; Kormos et al., 2009).”
- One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm (2011, background): “(142) and (145) can be explicitly confirmed for certain integrable models (Kitanine et al., 2009a,b, 2011; Shashi et al., 2010) using known expressions for the finite-size formfactors.”