Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
Abstract:
We show that the matrix (or more generally tensor) product states in a finite translation invariant system can be accurately constructed from a same set of local matrices (or tensors) that are determined from an infinite lattice system in one or higher dimensions. This provides an efficient approach for studying translation invariant tensor product states in finite lattice systems. Two methods are introduced to determine the size-independent local tensors.