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Density Matrix Renormalization Group in the Heisenberg Picture


Reference:

Hartmann, M. J., Prior, J., Clark, S. R. and Plenio, M. B., 2009. Density Matrix Renormalization Group in the Heisenberg Picture. Physical Review Letters, 102, 057202.

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    Official URL:

    http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.102.057202

    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.

    Details

    Item Type Articles
    CreatorsHartmann, M. J., Prior, J., Clark, S. R. and Plenio, M. B.
    DOI10.1103/PhysRevLett.102.057202
    Uncontrolled Keywordscond-mat.str-el,cond-mat.other,quant-ph
    DepartmentsFaculty of Science > Physics
    Publisher Statement0808.0666v2: 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
    RefereedYes
    StatusPublished
    ID Code47351

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