Results 31 to 40 of about 821 (184)
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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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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Bethe Ansatz inside Calogero-Sutherland models
SciPost PhysicsWe study the trigonometric quantum spin-Calogero–Sutherland model, and the Haldane–Shastry spin chain as a special case, using a Bethe-Ansatz analysis. We harness the model's Yangian symmetry to import the standard tools of integrability for Heisenberg ...
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk, Didina Serban
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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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Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
Advanced Quantum Technologies, Volume 8, Issue 3, March 2025.Detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance for both basic science and identification of systems suitable for novel technologies. This review article comprehensively covers witnesses suitable to condensed matter, their derivations and experimental applications.
Pontus Laurell +3 more
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Spin‐s$s$ Dicke States and Their Preparation
Advanced Quantum Technologies, Volume 7, Issue 12, December 2024.Dicke states are completely symmetric multi‐qubit states, which have many applications in quantum information and quantum computing. This work introduces higher‐spin generalizations of Dicke states, and formulates an efficient quantum circuit for preparing them on a quantum computer. The complete circuit diagram for the spin‐1 Dicke state |D2,2(1)⟩=16(|
Rafael I. Nepomechie +2 more
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Bethe Ansatz, quantum circuits, and the F-basis
SciPost PhysicsThe Bethe Ansatz is a method for constructing exact eigenstates of quantum-integrable spin chains. Recently, deterministic quantum algorithms, referred to as "algebraic Bethe circuits", have been developed to prepare Bethe states for the spin-$1/2$ XXZ ...
Roberto Ruiz, Alejandro Sopena, Esperanza López, Germán Sierra, Balázs Pozsgay
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Physics Letters B, 2022 Based on the Bethe-Richardson-Gaudin ansatz for the standard pairing model, extended Bethe- Richardson-Gaudin ansatzes for eigenvectors of a spherical mean-field plus separable pairing model with three non-degenerate j-orbits are proffered.
Feng Pan +5 more
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Attainable bounds for algebraic connectivity and maximally connected regular graphs
Journal of Graph Theory, Volume 107, Issue 3, Page 522-549, November 2024.Abstract We derive attainable upper bounds on the algebraic connectivity (spectral gap) of a regular graph in terms of its diameter and girth. This bound agrees with the well‐known Alon–Boppana–Friedman bound for graphs of even diameter, but is an improvement for graphs of odd diameter. For the girth bound, we show that only Moore graphs can attain it,
Geoffrey Exoo +3 more
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