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The Bethe Ansatz as a Quantum Circuit [PDF]
Quantum, 2023 The Bethe ansatz represents an analytical method enabling the exact solution of numerous models in condensed matter physics and statistical mechanics. When a global symmetry is present, the trial wavefunctions of the Bethe ansatz consist of plane wave ...
Roberto Ruiz +4 more
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Universal Bethe Ansatz and Scalar Products of Bethe Vectors [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U_q(^gl_3) is given.
Eric Ragoucy +2 more
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Preparing Bethe Ansatz Eigenstates on a Quantum Computer
PRX Quantum, 2021 Several quantum many-body models in one dimension possess exact solutions via the Bethe ansatz method, which has been highly successful for understanding their behavior.
John van Dyke +2 more
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Algebraic geometry and Bethe ansatz. Part I. The quotient ring for BAE
Journal of High Energy Physics, 2018 In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry.
Yunfeng Jiang
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SciPost Physics CoreThe recently proposed exact quantum solution for two $\delta$-function-interacting particles with a mass-ratio $3\!:\!1$ in a hard-wall box [Y. Liu, F. Qi, Y. Zhang and S. Chen, iScience 22, 181 (2019)] violates the conventional necessary condition for a
Steven G. Jackson, Hélène Perrin, Gregory E. Astrakharchik, Maxim Olshanii
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The Bethe ansatz as a matrix product ansatz [PDF]
Journal of Physics A: Mathematical and General, 2003 4 pages and no ...
Alcaraz, Francisco C., Lazo, Matheus J.
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The large-N limit of 4d superconformal indices for general BPS charges
Journal of High Energy Physics, 2022 We study the superconformal index of N $$ \mathcal{N} $$ = 1 quiver theories at large-N for general values of electric charges and angular momenta, using both the Bethe Ansatz formulation and the more recent elliptic extension method. We are particularly
Edoardo Colombo
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Supersymmetric Vacua and Bethe Ansatz [PDF]
Nuclear Physics B - Proceedings Supplements, 2009 An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N) theory with fundamental hypermultiplets, the XXZ ...
Nekrasov, Nikita A. +1 more
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Nuclear Physics B, 2021 In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2)⊗gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two
T. Skrypnyk, N. Manojlović
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LARGE-N AND BETHE ANSATZ [PDF]
Modern Physics Letters A, 2004 We describe an integrable model, related to the Gaudin magnet, and its relation to the matrix model of Brézin, Itzykson, Parisi and Zuber. Relation is based on Bethe ansatz for the integrable model and its interpretation using orthogonal polynomials and saddle point approximation.
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