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Functional relations and Bethe Ansatz for the open XXZ chain
Functional relations Bethe Ansatz XXZ chain
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2015/3/19
Functional relations and Bethe Ansatz for the open XXZ chain.
Quantum Computing via The Bethe Ansatz
The Bethe Ansatz Computers physical processes
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2011/9/5
We recognize quantum circuit model of computation as factorisable scattering model and propose that a quantum computer is associated with a quantum many-body system solved by the Bethe ansatz. As an t...
Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
Classical Bethe Ansatz Normal Forms the Jaynes-Cummings Model
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2011/7/28
Abstract: The Jaynes-Cummings-Gaudin model describes a collection of $n$ spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associates to each ...
Bethe Ansatz and Bethe Vectors Scalar Products
Bethe ansatz quantum affine algebras
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2011/1/19
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra Uq(bgl3) is given.This result is obtained in the f...
Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
Bethe Ansatz Solvable Particle Systems
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2010/11/18
This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche...
Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution
Weakly Asymmetric Simple Exclusion Process phase transition current distribution
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2010/11/23
The probability distribution of the current in the asymmetric simple exclusion process is expected to undergo a phase transition in the regime of weak asymmetry of the jumping rates. This transition w...
Completeness of the Bethe ansatz on Weyl alcoves
Bethe ansatz root systems spectral analysis reflection groups
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2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
Functional Bethe ansatz methods for the open XXX chain
Functional Bethe ansatz methods open XXX chain
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2010/12/15
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional eq...
Coordinate Bethe ansatz for spin s XXX model
Coordinate Bethe ansatz spin s XXX model
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2010/11/29
We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results...
KP and Toda tau functions in Bethe ansatz
Bethe ansatz Toda tau functions integrable hierarchies
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2010/4/6
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the finit...
Algebraic Bethe Ansatz for deformed Gaudin model
Algebraic Bethe Ansatz deformed Gaudin model
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2010/4/2
The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of t...
Coordinate space wave function from the Algebraic Bethe Ansatz for the inhomogeneous six-vertex model
space wave function Algebraic Bethe Ansatz inhomogeneous six-vertex model
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2010/4/1
We derive the coordinate space wave function for the inhomogeneous six-vertex model from the Algebraic Bethe Ansatz. The result is in agreement with the result first obtained long time ago by Yang and...
T-system and thermodynamic Bethe ansatz equations for solvable lattice models associated with superalgebras
dressed vacuum form T-system lattice models
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2010/4/7
An analytic Bethe ansatz is carried out related to the Lie superalgebra osp(1|2s). We present an eigenvalue formula of a transfer matrix in dressed vacuum form (DVF) labeled by a Young (super) diagram...
推广t-J模型的坐标Bethe Ansatz方法
推广t-J模型 坐标Bethe Ansatz 散射矩阵
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2009/7/27
利用坐标Bethe Ansatz方法,研究了推广的t—J模型的精确解,导出了两组Bethe Ansatz方程;同时证明了在两体散射问题中的散射矩阵正是三角型的非对称六顶角R矩阵.
在FBF背景下带反射边界条件的超对称t–J模型的代数Bethe ansatz方法
超对称t–J模型 代数Bethe ansatz 反射方程
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2009/6/10
在阶化量子反散射的框架中,得到FBF背景下,带反射边界条件的超对称t–J模型的本征值和本征矢,及相应的Betheansatz方程.