An application of renormalization in Hilbert space at phase transition points in strongly interacting systems

2006/10/31 by Tarek Khalil, Khalil, Tarek, J. Richert +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.quant-ph/0610262

openalex publication_date 2006/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce an algorithm aimed to reduce the dimensions of Hilbert space. It is used here in order to study the behaviour of low energy states of strongly interacting quantum many-body systems at first order transitions and avoided crossings. The method is tested on different frustrated quantum spin ladders with two legs. The role and importance of symmetries are investigated by using different bases of states.

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