Results 41 to 50 of about 3,614 (216)
The spectrum of quantum-group-invariant transfer matrices
Nuclear Physics B, 2019 Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv ...
Rafael I. Nepomechie, Ana L. Retore
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Jordan blocks and the Bethe Ansatz I: The eclectic spin chain as a limit
Nuclear Physics B, 2022 We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors.
Juan Miguel Nieto García, Leander Wyss
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Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models [PDF]
, 2011 18 pages.We present the construction of the full set of eigenvectors of the open ASEP and XXZ models with special constraints on the boundaries. The method combines both recent constructions of coordinate Bethe Ansatz and the old method of matrix Ansatz ...
E Ragoucy +5 more
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Spin-12 XYZ model revisit: General solutions via off-diagonal Bethe ansatz
Nuclear Physics B, 2014 The spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q ...
Junpeng Cao +4 more
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Generalized Beth–Uhlenbeck Entropy Formula From the Φ‐Derivable Approach
Contributions to Plasma Physics, EarlyView.ABSTRACT We derive a generalized Beth–Uhlenbeck formula for the entropy of a dense fermion system with strong two‐particle correlations, including scattering states and bound states. We work within the Φ‐derivable approach to the thermodynamic potential.
David Blaschke, Gerd Röpke, Gordon Baym
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Journal of Physics A: Mathematical and Theoretical, 2016 We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the
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Quantum computing via the Bethe ansatz [PDF]
Quantum Information Processing, 2011 6 pages.
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Spin‐s$s$ U(1)$U(1)$‐Eigenstate Preparation
Annalen der Physik, Volume 538, Issue 7, July 2026.A Gray code for bounded integer compositions, together with Gray gates (shown below), are used to prepare general U(1)‐eigenstates of a spin‐s chain. ABSTRACT We formulate a deterministic algorithm for preparing a general U(1)$U(1)$‐eigenstate of a spin‐s$s$ chain of length n$n$. These states consist of linear combinations of computational basis states
Nabi Zare Harofteh, Rafael I. Nepomechie
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, 2017 Integrable quantum spin chains have close connections to integrable quantum field theories, modern condensed matter physics, string and Yang-Mills theories.
Wang, Chunguang
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Kaleidoscope Yang-Baxter equation for Gaudin’s kaleidoscope models
SciPost Physics CoreRecently, researchers have proposed the Asymmetric Bethe Ansatz method, a theoretical tool that extends the scope of Bethe Ansatz-solvable models by "breaking" partial mirror symmetry via the introduction of a fully reflecting boundary.
Wen-Jie Qiu, Xi-Wen Guan, Yi-Cong Yu
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