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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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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.
Yang Zhang, Yunfeng Jiang
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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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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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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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Nonstandard Bethe Ansatz equations for open O(N) spin chains
Nuclear Physics B, 2018 The double row transfer matrix of the open O(N) spin chain is diagonalized and the Bethe Ansatz equations are also derived by the algebraic Bethe Ansatz method including the so far missing case when the residual symmetry is O(2M+1)×O(2N−2M−1).
Tamás Gombor
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Bethe states for the two-site Bose–Hubbard model: A binomial approach
Physics Letters B, 2015 We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix for the two-site Bose–Hubbard model.
Gilberto Santos +3 more
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Bethe states of the XXZ spin-12 chain with arbitrary boundary fields
Nuclear Physics B, 2015 Based on the inhomogeneous T−Q relation constructed via the off-diagonal Bethe Ansatz, the Bethe-type eigenstates of the XXZ spin-12 chain with arbitrary boundary fields are constructed.
Xin Zhang +5 more
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Transfer matrices for AdS3/CFT2
Journal of High Energy Physics, 2022 We work out the algebraic Bethe ansatz for the worldsheet theory of the AdS 3 × S 3 × T 4 superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model.
Fiona K. Seibold, Alessandro Sfondrini
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Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz
Nuclear Physics B, 2018 Using the exact Bethe Ansatz solution, we investigate methods for calculating the ground-state energy for the p+ip-pairing Hamiltonian. We first consider the Hamiltonian isolated from its environment (closed model) through two forms of Bethe Ansatz ...
Yibing Shen, Phillip S. Isaac, Jon Links
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