2016/02/16 by Glen Evenbly, Steven R. White
Physics and Astronomy · #Ansatz #Context (archaeology) #Density matrix renormalization group #Ising model #Lattice (music) #Mathematical physics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Statistical physics #Theoretical and Computational Physics #Theoretical physics #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.116.140403
published as Phys. Rev. Lett. 116, 140403 (2016) · Main text: 5 pages, 2 figures. Appendices: 5 pages, 5 figures. Revised version with minor corrections
arxiv created 2016/02/16 · openalex publication_date 2016/04/06 · arxiv updated 2016/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We establish a precise connection between discrete wavelet transforms and entanglement renormalization, a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle systems. Specifically, we employ Daubechies wavelets to build approximations to the ground state of the critical Ising model, then demonstrate that these states correspond to instances of the multiscale entanglement renormalization ansatz (MERA), producing the first known analytic MERA for critical systems.