A new perspective on the integrability of Inozemtsev's elliptic spin chain
From MaRDI portal
Publication:527675
DOI10.1016/j.aop.2014.10.006zbMath1360.82054arXiv1405.7855OpenAlexW3103507291MaRDI QIDQ527675
Artemio González-López, Frederico Finkel
Publication date: 12 May 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7855
Interacting particle systems in time-dependent statistical mechanics (82C22) Quantum chaos (81Q50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Thermodynamics of Inozemtsev's elliptic spin chain ⋮ Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ A novel class of translationally invariant spin chains with long-range interactions ⋮ Exact solution and thermodynamics of a spin chain with long-range elliptic interactions ⋮ Yangian-invariant spin models and Fibonacci numbers ⋮ The non-chiral intermediate Heisenberg ferromagnet equation ⋮ How coordinate Bethe ansatz works for Inozemtsev model
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Cites Work
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- Review of AdS/CFT integrability, chapter I.3: Long-range spin chains
- One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains
- Inozemtsev's hyperbolic spin model and its related spin chain
- On the solutions of 3-particle spin elliptic Calogero-Moser systems
- Towards the proof of complete integrability of quantum elliptic many-body systems with spin degrees of freedom
- Spectral properties of supersymmetric Polychronakos spin chain associated with \(A_{N - 1}\) root system
- Source identity and kernel functions for elliptic Calogero-Sutherland type systems
- On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model
- Haldane-Shastry spin chains of \(BC_{N}\) type
- Exact partition function of \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
- An exactly solvable supersymmetric spin chain of \(BC_N\) type
- Exactly solvable \(D_N\)-type quantum spin models with long-range interaction
- Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions
- The perturbation of the quantum Calogero-Moser-Sutherland system and related results
- Explicit evaluations and reciprocity theorems for finite trigonometric sums
- Invariants of linear combinations of transpositions
- The exactly solvable spin Sutherland model of \(B:_N\) type and its related spin chain
- Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
- Generalized Fibonacci Numbers and Associated Matrices
- The physics and mathematics of Calogero particles
- On the structure of eigenvectors of the multidimensional Lame operator
- AN INTRODUCTION TO YANGIAN SYMMETRIES
- Random matrix theory and higher genus integrability: the quantum chiral Potts model
- Exactly solvable model of interacting electrons confined by the Morse potential
- The Discrete Spectrum States of Finite-Dimensional Quantum Systems Connected with Lie Algebras
- Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
- New family of solvable 1D Heisenberg models
- Long-range deformations for integrable spin chains
- Spectrum of a spin chain with inverse square exchange
- Level clustering in the regular spectrum
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
- On the eigenstates of the elliptic Calogero-Moser model
