Yang–Baxter integrable models in experiments: from condensed matter to ultracold atoms

DOI10.1088/1751-8113/49/17/173001zbMath1342.82017arXiv1510.05810OpenAlexW2205738087MaRDI QIDQ2991833

Murray T. Batchelor, Angela Foerster

Publication date: 10 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05810

zbMATH Keywords

Yang-Baxter equationLieb-Liniger modelHeisenberg spin chainexactly solved modelsultracold atomshard-hexagon modelGaudin-Yang model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40) Yang-Baxter equations (16T25)

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Introduction to classical and quantum integrability ⋮ LeClair-Mussardo series for two-point functions in integrable QFT ⋮ Scalar products of Bethe vectors in the models with \(\mathfrak{gl}(m | n)\) symmetry ⋮ Integrable crosscap states: from spin chains to 1D Bose gas ⋮ Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics ⋮ One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction ⋮ Occupancy probabilities in superintegrable bosonic networks ⋮ Exactly solved models and beyond: a special issue in honour of R J Baxter’s 75th birthday ⋮ Ground state energy of the δ-Bose and Fermi gas at weak coupling from double extrapolation ⋮ On generalized Gibbs ensembles with an infinite set of conserved charges ⋮ Duality quantum simulation of the Yang-Baxter equation ⋮ Lindblad dynamics of the quantum spherical model ⋮ Comments on the multi-spin solution to the Yang–Baxter equation and basic hypergeometric sum/integral identity ⋮ Fusion for the Yang-Baxter equation and the braid group ⋮ The Yang–Baxter paradox

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