Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

2004/07/02 by Frank Verstraete, F. Verstraete, J. I. Cirac +2 · 126 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #quant-ph

paper · pdf · doi:10.48550/arxiv.cond-mat/0407066

arxiv created 2004/07/02 · openalex publication_date 2004/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We describe quantum many--body systems in terms of projected entangled--pair states, which naturally extend matrix product states to two and more dimensions. We present an algorithm to determine correlation functions in an efficient way. We use this result to build powerful numerical simulation techniques to describe the ground state, finite temperature, and evolution of spin systems in two and higher dimensions.

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