Density Matrix Renormalization Group in the Heisenberg Picture

Details Density Matrix Renormalization Group in the Heisenberg Picture Density Matrix Renormalization Group in the Heisenberg Picture

2008-08-05

arxiv.org/abs/0808.0666v2

Phys. Rev. Lett. 102, 057202 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

version to appear in PRL, acronyms in title and abstract expanded, new improved numerical examples

Scientific paper

10.1103/PhysRevLett.102.057202

In some cases the state of a quantum system with a large number of subsystems can be approximated efficiently by the density matrix renormalization group, which makes use of redundancies in the description of the state. Here we show that the achievable efficiency can be much better when performing density matrix renormalization group calculations in the Heisenberg picture, as only the observable of interest but not the entire state is considered. In some non-trivial cases, this approach can even be exact for finite bond dimensions.

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