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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
doaj +5 more sources
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.
Jiang Yunfeng
exaly +3 more sources
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 S 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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Ab initio artificial intelligence: Future research of Materials Genome Initiative
Materials Genome Engineering Advances, Volume 1, Issue 2, December 2023., 2023 As the field of materials discovery evolves, a shift from traditional trial‐and‐error methods to data‐driven and AI‐driven approaches is gradually taking precedence. This perspective introduces the emerging research field of ab initio AI, which utilizes AI techniques to improve ab initio computational methods.
He Li, Yong Xu, Wenhui Duan
wiley +1 more source
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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An identity in the Bethe subalgebra of C[Sn]$\mathbb {C}[\mathfrak {S}_n]$
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1247-1267, November 2023., 2023 Abstract As part of the proof of the Bethe ansatz conjecture for the Gaudin model for gln$\mathfrak {gl}_n$, Mukhin, Tarasov, and Varchenko described a correspondence between inverse Wronskians of polynomials and eigenspaces of the Gaudin Hamiltonians. Notably, this correspondence afforded the first proof of the Shapiro–Shapiro conjecture.
Kevin Purbhoo
wiley +1 more source
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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Harnessing the Quantum Behavior of Spins on Surfaces
Advanced Materials, Volume 35, Issue 27, July 6, 2023., 2023 By incorporating electron spin resonance capability in spin‐polarized scanning tunneling microscopy, quantum states of individual spins on surfaces can be initialized, controlled, and read out. Individual spins and artificial spin structures built atom‐by‐atom provide new platforms for sensing magnetic interactions, performing quantum operations, and ...
Yi Chen +2 more
wiley +1 more source