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

抄録

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.