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Lazo, Matheus Jatkoske; Ferreira, Anderson Augusto
(2010)
An integrable asymmetric exclusion process with impurities is formulated. The model displays the full spectrum of the stochastic asymmetric XXZ chain plus new levels. We derive the Bethe equations and calculate the spectral ...
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Lazo, Matheus Jatkoske; Ferreira, Anderson Augusto
(2012)
We formulate a new integrable asymmetric exclusion process with N − 1 = 0, 1, 2, ... kinds of impurities and with hierarchically ordered dynamics. The model we proposed displays the full spectrum of the simple asymmetric ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2004)
Most of the exact solutions of quantum one-dimensional Hamiltonians are obtained thanks to the success of the Bethe ansatz on its several formulations. According to this ansatz the amplitudes of the eigenfunctions of the ...
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Lazo, Matheus Jatkoske; Alcaraz, Francisco Castilho
(2007)
We introduce and solvev a special family of integrable interacting vertex models that generalizes the well known six-vertex model. In addition to the usual nearest-neighbor interactions among the vertices, there exist extra ...
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Lazo, Matheus Jatkoske
(2011)
Fractional derivatives and integrations of non-integers orders was introduced more than three centuries ago but only recently gained more attention due to its application on nonlocal phenomenas. In this context, several ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2006)
We present a general formulation of the matrix product ansatz for exactly integrable chains on periodic lattices. This new formulation extends the matrix product ansatz present on our previous articles (F. C. Alcaraz and ...
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Lazo, Matheus Jatkoske
(2008)
We obtain through a Matrix Product Ansatz the exact solution of the most general inhomogeneous spin chain with nearest neighbor interaction and with U(1)2 and U(1)3 symmetries. These models are related to the one loop ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2004)
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 ...
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Alcaraz, Francisco Castilho; Lazo, Matheus Jatkoske
(2003)
The exact solution of the asymmetric exclusion problem and several of its generalizations is obtained by a matrix product ansatz. Due to the similarity of the master equation and the Schr¨odinger equation at imaginary times ...
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Lazo, Matheus Jatkoske
(2008)
We obtain through a Matrix Product Ansatz (MPA) the exact solution of the most general N-state spin chain with U(1)N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the ...
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Lazo, Matheus Jatkoske
(2007)
Recently it was shown that the eigenfunctions for the the asymmetric exclusion problem and several of its generalizations as well as a huge family of quantum chains, like the anisotropic Heisenberg model, Fateev- Zamolodchikov ...
