Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models

DOI10.1007/978-981-10-2636-2_22zbMath1368.81135OpenAlexW2560221544MaRDI QIDQ5278144

Thomas Quella, Roberto Bondesan

Publication date: 13 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-2636-2_22

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Tensor products of linear operators (47A80)

Cites Work

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• Quantum spin models for the \(\operatorname{SU}(n)_1\) Wess-Zumino-Witten model
• Infinite matrix product states for long-range \(\operatorname{SU}(N)\) spin models
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• Spinons in conformal field theory
• Dynamical correlation functions in the Calogero-Sutherland model
• Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories
• Superspace conformal field theory
• Colloquium: Area laws for the entanglement entropy
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory

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