Results 71 to 80 of about 1,573,184 (216)

On the quantum inverse scattering problem

, 1999
A general method for solving the so-called quantum inverse scattering problem (namely the reconstruction of local quantum (field) operators in term of the quantum monodromy matrix satisfying a Yang-Baxter quadratic algebra governed by an R-matrix) for a ...
Ablowitz, Babelon, Baxter, Baxter, Bethe, Cherednik, Creamer, Creamer, Creamer, Drinfel'd, Drinfeld, Faddeev, Gel'fand, Heisenberg, J.M. Maillet, Jimbo, Jimbo, Jimbo, Jimbo, Kirillov, Kitanine, Kitanine, Kulish, Kulish, Kulish, Kulish, Maillet, Marchenko, Perk, Smirnov, Smirnov, Sutherland, Takhtajan, V. Terras, Yang, Zakharov   +35 more
core   +4 more sources

A general fusion procedure for open $$\mathfrak{g}\mathfrak{l}(N)$$ spin chains: application to the ABJM spin chain

Journal of High Energy Physics
We formulate a general fusion procedure for open $$\mathfrak{g}\mathfrak{l}(N)$$ spin chains. We construct the fused boundary reflection matrices and the corresponding fused reflection equations.
Nan Bai
doaj   +1 more source

Kazakov-Migdal model on the graph and Ihara zeta function

Journal of High Energy Physics, 2022
We propose the Kazakov-Migdal model on graphs and show that, when the parameters of this model are appropriately tuned, the partition function is represented by the unitary matrix integral of an extended Ihara zeta function, which has a series expansion ...
So Matsuura, Kazutoshi Ohta
doaj   +1 more source

An Intersecting Loop Model as a Solvable Super Spin Chain [PDF]

, 1997
In this paper we investigate an integrable loop model and its connection with a supersymmetric spin chain. The Bethe Ansatz solution allows us to study some properties of the ground state.
A. W. W. Ludwig, B. Nienhuis, B. Nienhuis, B. Nienhuis, C. Mudry, E. G. D. Cohen, F. C. Alcaraz, F. D. M. Haldane, F. H. L. Essler, F. Woynarovich, H. Blöte, H. J. de Vega, H. Saleur, I. Affleck, J. L. Cardy, M. J. Martins, M. J. Martins, M. J. Martins, M. Milovanovic, M. R. Zirnbauer, M. Wadati, Meng-She Cao, P. Goddard, P. P. Kulish, P. P. Kulish, R. J. Baxter, R. M. Ziff, R. Rietman, T. W. Ruijgrok, V. Gurarie, X. G. Wen, X. G. Wen, Z. Maassarani   +32 more
core   +2 more sources

Separation of variables and scalar products at any rank

Journal of High Energy Physics, 2019
Separation of variables (SoV) is a special property of integrable models which ensures that the wavefunction has a very simple factorised form in a specially designed basis.
Andrea Cavaglià, Nikolay Gromov, Fedor Levkovich-Maslyuk   +2 more
doaj   +1 more source

Signatures of integrability in charge and thermal transport in 1D quantum systems [PDF]

, 2007
Integrable and non-integrable systems have very different transport properties. In this work, we highlight these differences for specific one dimensional models of interacting lattice fermions using numerical exact diagonalization.
B. Sriram Shastry, F. Heidrich-Meisner, J. Benz, Subroto Mukerjee, X. Zotos   +4 more
core   +3 more sources

Entanglement content of kink excitations

Journal of High Energy Physics
Quantum one-dimensional systems in their ordered phase admit kinks as elementary excitations above their symmetry-broken vacua. While the scattering properties of the kinks resemble those of quasiparticles, they have distinct locality features that are ...
Luca Capizzi, Michele Mazzoni
doaj   +1 more source

Generalized Yang-Baxter Equation [PDF]

, 1993
A generalization of the Yang-Baxter equation is proposed. It enables to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative.
Kashaev, R. M., Stroganov, Yu. G.
core   +3 more sources

Electric network and Hirota type 4-simplex maps

Journal of High Energy Physics
Bazhanov-Stroganov (4-simplex) maps are set-theoretical solutions to the 4-simplex equation, namely the fourth member of the family of n-simplex equations, which are fundamental equations of mathematical physics.
S. Konstantinou-Rizos
doaj   +1 more source

Exact formalism for the quench dynamics of integrable models [PDF]

, 2013
We describe a formulation for studying the quench dynamics of integrable systems generalizing an approach by Yudson. We study the evolution of the Lieb-Liniger model, a gas of interacting bosons moving on the continuous infinite line and interacting via ...
Deepak Iyer, H. Guan, N. Andrei
semanticscholar   +1 more source