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

Department of Physics

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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
Pages (from-to)	1 - 4
Number of pages	4
Journal	Physical Review Letters
Volume	102
DOIs	https://doi.org/10.1103/PhysRevLett.102.057202
Publication status	Published - 2 Feb 2009

Keywords

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

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10.1103/PhysRevLett.102.057202

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This is the submitted version of an article published by the American Physical Society in Hartmann, MJ, Prior, J, Clark, SR & Plenio, MB 2009, 'Density Matrix Renormalization Group in the Heisenberg Picture' Physical Review Letters, vol 102, 057202, pp. 1 - 4., 10.1103/PhysRevLett.102.057202
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Cite this

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Density Matrix Renormalization Group in the Heisenberg Picture

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