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相关论文: The Quantum Inverse Scattering Method for Hubbard-…

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In the framework of the graded quantum inverse scattering method (QISM), we obtain the eigenvalues and eigenvectors of the supersymmetric $t-J$ model with reflecting boundary conditions in FFB background. The corresponding Bethe ansatz…

凝聚态物理 · 物理学 2009-10-31 Heng Fan , Bo-yu Hou , Kang-jie Shi

The one-dimensional Hubbard model with open boundary conditions is exactly solved by means of algebraic Bethe ansatz. The eigenvalue of the transfer matrix, the energy spectrum as well as the Bethe ansatz equations are obtained.

统计力学 · 物理学 2009-10-31 X. -W. Guan

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…

其他凝聚态物理 · 物理学 2008-11-26 L. Amico , H. Frahm , A. Osterloh , G. A. P. Ribeiro

We give the quantum analogue of a recently introduced electron model which generalizes the Hubbard model with additional correlated hopping terms and electron pair hopping. The model contains two independent parameters and is invariant with…

凝聚态物理 · 物理学 2009-10-28 Mark D. Gould , Katrina E. Hibberd , Jon R. Links , Yao-Zhong Zhang

We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard-core anyons. Through this method we reconstruct the known…

数学物理 · 物理学 2009-06-20 M T Batchelor , A Foerster , X-W Guan , J Links , H-Q Zhou

The one-dimensional Hubbard model with arbitrary boundary magnetic fields is solved exactly via the Bethe ansatz methods. With the coordinate Bethe ansatz in the charge sector, the second eigenvalue problem associated with the spin sector…

强关联电子 · 物理学 2015-06-17 Yuan-Yuan Li , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We introduce a new concept of quasi-Yang-Baxter algebras. The quantum quasi-Yang-Baxter algebras being simple but non-trivial deformations of ordinary algebras of monodromy matrices realize a new type of quantum dynamical symmetries and…

高能物理 - 理论 · 物理学 2009-10-30 A. Ushveridze

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…

可精确求解与可积系统 · 物理学 2009-11-10 C. S. Melo , G. A. P. Ribeiro , M. J. Martins

The lambda model is a one parameter deformation of the principal chiral model that arises when regularizing the non-compactness of a non-abelian T dual in string theory. It is a current-current deformation of a WZW model that is known to be…

高能物理 - 理论 · 物理学 2017-08-02 Calan Appadu , Timothy J. Hollowood , Dafydd Price

A multiparametric extension of the anisotropic U model is discussed which maintains integrability. The R-matrix solving the Yang-Baxter equation is obtained through a twisting construction applied to the underlying Uq(sl(2|1))…

强关联电子 · 物理学 2009-10-31 J. Links , A. Foerster

We present a solution method for the inverse scattering problem for integrable two-dimensional relativistic quantum field theories, specified in terms of a given massive single particle spectrum and a factorizing S-matrix. An arbitrary…

数学物理 · 物理学 2016-08-09 Sabina Alazzawi , Gandalf Lechner

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an…

强关联电子 · 物理学 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

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 · 数学 2009-10-28 Takashi Takebe

This paper is concerned with the inverse scattering and the transmission eigenvalues for anisotropic periodic layers. For the inverse scattering problem, we study the Factorization method for shape reconstruction of the periodic layers from…

偏微分方程分析 · 数学 2020-01-10 Isaac Harris , Dinh-Liem Nguyen , Jonathan Sands , Trung Truong

Inspired by the integrable structures appearing in weakly coupled planar N=4 super Yang-Mills theory, we study Q-operators and Yangian invariants of rational integrable spin chains. We review the quantum inverse scattering method along with…

高能物理 - 理论 · 物理学 2014-12-11 Rouven Frassek

An integrable Kondo problem in the one-dimensional supersymmetric t-J model is studied by means of the boundary supersymmetric quantum inverse scattering method. The boundary $K$ matrices depending on the local moments of the impurities are…

统计力学 · 物理学 2009-10-31 H. -Q. Zhou , M. D. Gould

In this paper we formulate a general method for building completely integrable quantum systems. The method is based on the use of the so-called multi-parameter spectral equations, i.e. equations with several spectral parameters. We show…

高能物理 - 理论 · 物理学 2007-05-23 Dieter Mayer , Alexander Ushveridze

The centrally extended superalgebra psu(2|2)xR^3 was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation…

高能物理 - 理论 · 物理学 2008-11-26 Niklas Beisert , Peter Koroteev

The one-dimensional small-polaron model with open boundary conditions is considered in the framework of the quantum inverse scattering method. The spin model which is equivalent to the small-polaron model is the Heisenberg $XXZ$ spin chain…

凝聚态物理 · 物理学 2007-05-23 Heng Fan , Xi-Wen Guan

This work is concerned with the formulation of the graded quantum inverse scattering method for a class oflattice models with reflecting boundary conditions. The $sl(2|1)^{(2)}$ and $osp(2|1)$ models are considered with their diagonal…

可精确求解与可积系统 · 物理学 2010-04-08 V. Kurak , A. Lima-Santos