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

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

2006-10-31

arxiv.org/abs/quant-ph/0610262v1

Physics

Quantum Physics

23 pages, 5 figures

Scientific paper

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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