2017/07/18 by Glen Evenbly, Evenbly, Glen
Physics and Astronomy · #FOS: Physical sciences #Model Reduction and Neural Networks #Opinion Dynamics and Social Influence #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1707.05770
openalex publication_date 2017/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a new implementation of real-space renormalization group (RG) transformations for quantum states on a lattice. Key to this approach is the removal of short-ranged entanglement, similar to Vidal's entanglement renormalization (ER), which allows a proper RG flow to be achieved. However, our proposal only uses operators that act locally within each block, such that the use of disentanglers acting across block boundaries is not required. By avoiding the use of disentanglers we argue many tensor network algorithms for studying quantum many-body systems can be significantly improved. The effectiveness of this RG approach is demonstrated through application to the ground state of a 1D system at criticality, which is shown to reach a scale-invariant fixed point.