Volume 15, Issue supplement 3, October 2008, Pages 22 - 33
Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process
Available Online 1 October 2008.
- https://doi.org/10.2991/jnmp.2008.15.s3.3How to use a DOI?
- We consider a lattice driven diffusive system withUq(su(2)) invariance in the bulk. Within the matrix product states approach the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra. Boundary processes amount to the appearance of parameter dependent linear terms in the algebraic relations and lead to a reduction of the bulk symmetry. We find the boundary quantum group of the process to be a tridiagonal algebra, the linear covariance algebra for the bulk Uq(su(2)) symmetry, which allows for the exact solvability.
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TY - JOUR AU - Boyka Aneva PY - 2008 DA - 2008/10 TI - Boundary Algebra and Exact Solvability of the Asymmetric Exclusion Process JO - Journal of Nonlinear Mathematical Physics SP - 22 EP - 33 VL - 15 IS - supplement 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.s3.3 DO - https://doi.org/10.2991/jnmp.2008.15.s3.3 ID - Aneva2008 ER -