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We present a study of the Drude weight $D(T)$ of the spin-1/2 $XXZ$ chain in the gapless regime. The thermodynamic Bethe ansatz (TBA) is applied in two different ways. In the first application we employ the particle basis of magnons and…

Strongly Correlated Electrons · Physics 2015-06-25 J. Benz , T. Fukui , A. Klümper , C. Scheeren

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an alternative…

Statistical Mechanics · Physics 2009-10-31 Gunter M. Schütz

An integrable version of the supersymmetric U model with open boundary conditions and an impurity situated at one end of the chain is introduced. The model is solved through the algebraic Bethe ansatz method and the Bethe ansatz equations…

Strongly Correlated Electrons · Physics 2009-10-31 A. Foerster , K. E. Hibberd , J. R. Links , I. Roditi

We construct commuting transfer matrices for models describing the interaction between a single quantum spin and a single bosonic mode using the quantum inverse scattering framework. The transfer matrices are obtained from certain…

Other Condensed Matter · Physics 2008-11-26 L. Amico , H. Frahm , A. Osterloh , G. A. P. Ribeiro

The ground state and thermodynamic properties of spin-1 and spin-3/2 chains are investigated via exactly solved su(3) and su(4) models with physically motivated chemical potential terms. The analysis involves the Thermodynamic Bethe Ansatz…

Statistical Mechanics · Physics 2011-02-16 M. T. Batchelor , X. -W. Guan , N. Oelkers , A. Foerster

Type-I quantum defects are considered in the context of the gl_N spin chain. The type-I defects are associated to the generalized harmonic oscillator algebra, and the chosen defect matrix is the one of the vector non-linear Schrodinger…

Mathematical Physics · Physics 2014-02-18 Anastasia Doikou

We propose an integrable model of the spin-1/2 Heisenberg chain coupled to two impurity moments. With the open boundary conditions at the impurity sites, the model can be exactly solved for arbitrary impurity spin and arbitrary exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Yupeng Wang

The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

Strongly Correlated Electrons · Physics 2008-02-03 Tetsuo Deguchi , Ruihong Yue

We study the entanglement entropy of a block of contiguous spins in excited states of spin chains. We consider the XY model in a transverse field and the XXZ Heisenberg spin-chain. For the latter, we developed a numerical application of…

Statistical Mechanics · Physics 2011-02-16 Vincenzo Alba , Maurizio Fagotti , Pasquale Calabrese

Using the XXX Heisenberg chain as an example, based on the symmetry properties of the eigenstates with respect to reversing all the spins we argue, that the basic SU(2) symmetry of the model is inherited by the excitations with slight…

Condensed Matter · Physics 2007-05-23 F. Woynarovich

We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single}…

High Energy Physics - Theory · Physics 2008-02-03 C. Destri , H. J. de Vega

The scalar products, form factors and correlation functions of the XXZ spin chain with twisted (or antiperiodic) boundary condition are obtained based on the inhomogeneous $T-Q$ relation and the Bethe states constructed via the off-diagonal…

Mathematical Physics · Physics 2020-03-10 Yi Qiao , Zhirong Xin , Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang

We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices are similar to diagonal matrices with the help of suitable…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 C. S. Melo , G. A. P. Ribeiro , M. J. Martins

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…

Mathematical Physics · Physics 2018-09-19 Tamas Gombor

We consider the case of an integrable quantum spin chain with "soliton non-peserving" boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer…

High Energy Physics - Theory · Physics 2008-11-26 Anastasia Doikou

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis…

q-alg · Mathematics 2009-10-28 Takashi Takebe

We investigate Bethe Ansatz equations for the one-dimensional spin-$\frac{1}{2}$ Heisenberg XXX chain with a special interest in a finite system. Solutions for the two-particle sector are obtained. The ground state in antiferromagnetic case…

Condensed Matter · Physics 2007-05-23 Shao-shiung Lin , Shi-shyr Roan

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We propose a perturbative asymptotic Bethe ansatz (PABA) for open spin-chain systems whose Hamiltonians are given by matrices of anomalous dimension for composite operators, and apply it to two types of composite operators related to two…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Kentaroh Yoshida

The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the $sp(4)$ (or $C_2$) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer…

Mathematical Physics · Physics 2019-06-05 Guang-Liang Li , Junpeng Cao , Panpan Xue , Zhi-Rong Xin , Kun Hao , Wen-Li Yang , Kangjie Shi , Yupeng Wang