Results 111 to 120 of about 30,334 (209)
Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We present a study of the two species totally asymmetric diffusion model using the Bethe ansatz. The Hamiltonian has U_q(SU(3)) symmetry. We derive the nested Bethe ansatz equations and obtain the dynamical critical exponent from the finite-size scaling ...
Birgit Wehefritz-Kaufmann
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Quantum computing via the Bethe ansatz [PDF]
Quantum Information Processing, 2011 6 pages.
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ALGEBRAIC ASPECTS OF THE BETHE ANSATZ [PDF]
International Journal of Modern Physics A, 1995 In this article an introduction to the algebraic aspects of the Bethe ansatz is given. The applications to the seminal spin 1/2 XXX model are discussed in detail and the generalization to higher spin as well as XXZ and the lattice sine-Gordon model are indicated. The origin of quantum groups and their appearance in CFT models are explained.
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Riemann zeros as quantized energies of scattering with impurities
Journal of High Energy PhysicsWe construct an integrable physical model of a single particle scattering with impurities spread on a circle. The S-matrices of the scattering with the impurities are such that the quantized energies of this system, coming from the Bethe Ansatz equations,
André LeClair, Giuseppe Mussardo
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Bukhvostov–Lipatov model and quantum-classical duality
Nuclear Physics B, 2018 The Bukhvostov–Lipatov model is an exactly soluble model of two interacting Dirac fermions in 1+1 dimensions. The model describes weakly interacting instantons and anti-instantons in the O(3) non-linear sigma model. In our previous work [arXiv:1607.04839]
Vladimir V. Bazhanov +2 more
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Quantum wake dynamics in Heisenberg antiferromagnetic chains. [PDF]
Nat Commun, 2022 Scheie A +6 more
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Introduction to the Bethe Ansatz I
Computers in Physics, 1997 The Bethe ansatz for the one-dimensional s=1/2 Heisenberg ferromagnet is introduced at an elementary level. The presentation follows Bethe's original work very closely. A detailed description and a complete classification of all two-magnon scattering states and two-magnon bound states are given for finite and infinite chains. The paper is designed as a
Michael Karabach +3 more
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On the Six-Vertex Model's Free Energy. [PDF]
Commun Math Phys, 2022 Duminil-Copin H +4 more
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Exact solution of a quantum integrable system associated with the G2 exceptional Lie algebra
Nuclear Physics BA quantum integrable spin chain model associated with the G2 exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained.
Guang-Liang Li +5 more
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Universal Bethe Ansatz and Scalar Products of Bethe Vectors
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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