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In this paper we clarify the relationship between inhomogeneous quantum spin chains and classical integrable many-body systems. It provides an alternative (to the nested Bethe ansatz) method for computation of spectra of the spin chains.…

高能物理 - 理论 · 物理学 2015-06-17 A. Gorsky , A. Zabrodin , A. Zotov

The past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While…

统计力学 · 物理学 2019-09-30 Ranjan Modak , Lorenzo Piroli , Pasquale Calabrese

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

An extension of the supersymmetric U model for correlated elctrons is given and integrability is established by demonstrating that the model can be constructed through the Quantum Inverse Scattering Method using an R-matrix without the…

强关联电子 · 物理学 2009-10-31 Jon Links

The off-diagonal Bethe Ansatz method [1] is used to revisit the periodic XXX Heisenberg spin-1/2 chain. It is found that the spectrum of the transfer matrix can be characterized by an inhomogeneous T-Q relation, a natural but nontrivial…

数学物理 · 物理学 2015-06-09 Yupeng Wang , Wen-Li Yang , Junpeng Cao , Kangjie Shi

We reexamine the Yang-Yang-Takahashi method of deriving the thermodynamic Bethe ansatz equations which describe strongly correlated electron systems of fundamental physical interest, such as the Hubbard, $s-d$ exchange (Kondo) and Anderson…

强关联电子 · 物理学 2007-05-23 Valery I. Rupasov

A new integrable class of quantum models representing a family of different discrete-time or relativistic generalisations of the periodic Toda chain (TC), including that of a recently proposed classical close to TC model [7] is presented.…

高能物理 - 理论 · 物理学 2009-10-28 Anjan Kundu

A novel Bethe ansatz scheme is proposed to investigate the exact physical properties of an integrable anisotropic quantum spin chain with competing interactions among the nearest, next nearest neighbor and chiral three spin couplings, where…

数学物理 · 物理学 2022-02-09 Wei Wang , Yi Qiao , Junpeng Cao , Wu-Ming Liu , Rong-Hua Liu

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…

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

The Bethe ansatz in its several formulations is the common tool for the exact solution of one dimensional quantum Hamiltonians. This ansatz asserts that the several eigenfunctions of the Hamiltonians are given in terms of a sum of…

统计力学 · 物理学 2009-11-10 F. C. Alcaraz , M. J. Lazo

It was found that renormalization group equations in the heavy-quark effective theory (HQET) for the operators involving one effective heavy quark and light degrees of freedom are completely integrable in some cases and are related to spin…

高能物理 - 理论 · 物理学 2018-07-04 Vladimir M. Braun , Yao Ji , Alexander N. Manashov

A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as…

凝聚态物理 · 物理学 2009-10-28 R. Z. Bariev , A. Klümper , J. Zittartz

Various aspects of the theory of quantum integrable systems are reviewed. Basic ideas behind the construction of integrable ultralocal and nonultralocal quantum models are explored by exploiting the underlying algebraic structures related…

高能物理 - 理论 · 物理学 2016-09-06 Anjan Kundu

We consider integrable open--boundary conditions for the supersymmetric t--J model commuting with the number operator $n$ and $S^{z}$. Four families, each one depending on two arbitrary parameters, are found. We find the relation between…

高能物理 - 理论 · 物理学 2009-10-28 A. González-Ruiz

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method. The Bethe ansatz equations for all these models are derived by using the algebraic…

强关联电子 · 物理学 2009-11-07 Anthony J. Bracken , Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

An integrable spin-ladder model with nearest-neighbor exchanges and biquadratic interactions is proposed. With the Bethe ansatz solutions of the model hamiltonian, it is found that there are three possible phases in the ground state, i.e.,…

强关联电子 · 物理学 2009-10-31 Yupeng Wang

We find an integrable generalization of the BCS model with non-uniform Coulomb and pairing interaction. The Hamiltonian is integrable by construction since it is a functional of commuting operators; these operators, which therefore are…

超导电性 · 物理学 2007-05-23 Luigi Amico , Antonio Di Lorenzo , Andreas Osterloh

I introduce two family of exactly solvable models for multiatomic hetero-nuclear and homo-nuclear molecular Bose-Einstein condensates through the algebraic Bethe ansatz method. The conserved quantities of the respective models are also…

量子气体 · 物理学 2014-12-30 G. Santos

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It…

高能物理 - 理论 · 物理学 2008-11-26 F. Göhmann , V. E. Korepin

A new generalization of the t-J model with a nearest-neigbour hopping is formulated and solved exactly by the Bethe-ansatz method in the thermodymanic limit. The model describes the dymanics of fermions with different spins and with…

统计力学 · 物理学 2008-02-03 F. C. Alcaraz , R. Z. Bariev