Efficient variational diagonalization of fully many-body localized Hamiltonians

Frank Pollmann; Vedika Khemani; J. Ignacio Cirac; S. L. Sondhi

doi:10.1103/PhysRevB.94.041116

Efficient variational diagonalization of fully many-body localized Hamiltonians

Frank Pollmann, Vedika Khemani, J. Ignacio Cirac, S. L. Sondhi

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65 Scopus citations

Abstract

We introduce a variational unitary matrix product operator based variational method that approximately finds all the eigenstates of fully many-body localized one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed depth of the UTN ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results.

Original language	English
Article number	041116
Journal	Physical Review B
Volume	94
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevB.94.041116
State	Published - 28 Jul 2016
Externally published	Yes

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10.1103/PhysRevB.94.041116

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abstract = "We introduce a variational unitary matrix product operator based variational method that approximately finds all the eigenstates of fully many-body localized one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed depth of the UTN ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results.",

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Efficient variational diagonalization of fully many-body localized Hamiltonians

Abstract

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