Results 81 to 90 of about 821 (184)
RIGGED CONFIGURATIONS AND THE BETHE ANSATZ [PDF]
24 pages; lecture notes; axodraw style file ...
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On Bethe equations of 2d conformal field theory
We study the higher spin algebras of two-dimensional conformal field theory from the perspective of quantum integrability. Starting from Maulik-Okounkov instanton R-matrix and applying the procedure of algebraic Bethe ansatz, we obtain infinite commuting
Tomáš Procházka, Akimi Watanabe
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Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li +5 more
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Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions.
Rafael I. Nepomechie, Rodrigo A. Pimenta
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Dynamical Critical Exponent for Two-Species Totally Asymmetric Diffusion on a Ring
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]
6 pages.
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Quantum wake dynamics in Heisenberg antiferromagnetic chains. [PDF]
Scheie A +6 more
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ALGEBRAIC ASPECTS OF THE BETHE ANSATZ [PDF]
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
We 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
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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