Entanglement Renormalization for Quantum Field Theories with Discrete Wavelet Transforms

Autor:	Alves, Daniele S. M.
Rok vydání:	2024
Předmět:	High Energy Physics - Theory High Energy Physics - Lattice Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We propose an adaptation of Entanglement Renormalization for quantum field theories that, through the use of discrete wavelet transforms, strongly parallels the tensor network architecture of the \emph{Multiscale Entanglement Renormalization Ansatz} (a.k.a. MERA). Our approach, called wMERA, has several advantages of over previous attempts to adapt MERA to continuum systems. In particular, (i) wMERA is formulated directly in position space, hence preserving the quasi-locality and sparsity of entanglers; and (ii) it enables a built-in RG flow in the implementation of real-time evolution and in computations of correlation functions, which is key for efficient numerical implementations. As examples, we describe in detail two concrete implementations of our wMERA algorithm for free scalar and fermionic theories in (1+1) spacetime dimensions. Possible avenues for constructing wMERAs for interacting field theories are also discussed. Comment: 50 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.11715 Zobrazit plný text záznamu View this record from Arxiv