Efficient variational diagonalization of fully many-body localized Hamiltonians

Frank Pollmann; Vedika Khemani; J. Ignacio Cirac; Shivaji Lal Sondhi

doi:10.1103/PhysRevB.94.041116

Efficient variational diagonalization of fully many-body localized Hamiltonians

Frank Pollmann, Vedika Khemani, J. Ignacio Cirac, Shivaji Lal Sondhi

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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.

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

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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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

All Science Journal Classification (ASJC) codes

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