Density Matrix Renormalization Group in the Heisenberg Picture

Michael J. Hartmann; Javier Prior; Stephen R. Clark; Martin B. Plenio

doi:10.1103/PhysRevLett.102.057202

Density Matrix Renormalization Group in the Heisenberg Picture

Michael J. Hartmann, Javier Prior, Stephen R. Clark, Martin B. Plenio

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

57 Citations (Scopus)

Abstract

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.

Original language	English
Article number	057202
Journal	Physical Review Letters
Volume	102
DOIs	https://doi.org/10.1103/PhysRevLett.102.057202
Publication status	Published - 2 Feb 2009

Bibliographical note

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

Keywords

cond-mat.str-el
cond-mat.other
quant-ph

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AB - 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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Density Matrix Renormalization Group in the Heisenberg Picture

Abstract

Bibliographical note

Keywords

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