Quantum Inverse Scattering Method and Correlation Functions

1993/01/25 by V. E. Korepin, Korepin, V. E., A. G. Izergin +3 · 39 citations
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9301031

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arxiv created 1993/01/25 · arxiv updated 2009/11/30

Abstract

The book contain detailed explanation of Bethe Ansatz, Quantum Inverse Scattering Method and Algebraic Bether Ansatz as well. Main Models are Nonlinear Schrodinger equation (one dimensional Bose gas), Sine-Gordon and Thiring models. Heisenberg Antiferromagnet and Hubbard models. It is explained in detail, how to calculate correlation functions.

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• Closed Colored Models and Demazure Crystals
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• Rational Q-systems for integrable spin chains without U(1) symmetry
• On Fredholm Pfaffians and Riemann-Hilbert problems
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• Influence-solvability: a systematic theory of (1+1)D solvability and its application to brickwork circuits
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• Exact strong zero modes in quantum circuits and spin chains with non-diagonal boundary conditions
• Non-invertible Kramers-Wannier duality-symmetry in the trotterized critical Ising chain
• Fusion approach for quantum integrable system associated with the \mathfrakgl(1|1) Lie superalgebra
• Matrix-product operator dualities in integrable lattice models
• Clifford Solver for the Tetrahedron Equation and its Variants
• Exact State Evolution and Energy Spectrum in Solvable Bosonic Models
• Temperley-Lieb integrable models and fusion categories
• Loop Charges and Fragmentation in Pairwise Difference Conserving Circuits
• Qiboml: towards the orchestration of quantum-classical machine learning
• A microscopic approach to nonlinear theory of spin-charge separation
• Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional ¹⁶²Dy gases
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