Application of a renormalization algorithm in Hilbert space to the study of many-body quantum systems

2006/06/07 by Tarek Khalil, Khalil, Tarek, Jean Richert +1
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #nucl-th #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0606056

22 pages, 8 figures

arxiv created 2006/11/09 · arxiv updated 2009/12/01

Abstract

We implement an algorithm which is aimed to reduce the number of basis states spanning the Hilbert space of quantum many-body systems. We test the efficiency of the procedure by working out and analyzing the spectral properties of strongly correlated and frustrated quantum spin systems. The role and importance of symmetries are investigated

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