AN EFFICIENT ALGORITHM OF PARITY, TRANSLATIONAL AND SPIN-ROTATIONAL SYMMETRY FOR CHAINS

The formalism for an efficient scheme for spin-rotational symmetric matrix-product states (MPSs), also known as tensor trains (TTs), is presented. The methodology is applied for the study of ground-state energy and correlation properties of the isotropic spin-1 bilinear-biquadratic quantum Heisenberg chain with nearest-neighbor interactions and periodic boundary conditions as an example. The mathematical framework can be used for arbitrary spin-rotational invariant spin-S chains.