Dynamic Matrix Product Ansatz and Bethe Ansatz Equation for Asymmetric Exclusion Process with Periodic Boundary.

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  • Sasamoto Tomohiro
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo–ku, Tokyo 113
  • Wadati Miki
    Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo–ku, Tokyo 113

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  • Dynamic Matrix Product Ansatz and Bethe

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A new type of dynamic matrix product ansatz is proposed. The stateswhich satisfy the “imaginary time” Schrödinger equationare represented in the form of products of time-dependent and time-independent matrices.From the algebra among the matrices, the Bethe ansatz equation is derived for the asymmetric exclusion process andthe XXZ spin chain under the periodic boundary condition.

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