Efficient variational diagonalization of fully many-body localized Hamiltonians

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

doi:10.1103/PhysRevB.94.041116

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Efficient variational diagonalization of fully many-body localized Hamiltonians

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Cirac, J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;

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Citation

Pollmann, F., Khemani, V., Cirac, J. I., & Sondhi, S. L. (2016). Efficient variational diagonalization of fully many-body localized Hamiltonians. Physical Review B, 94(4): 041116. doi:10.1103/PhysRevB.94.041116.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-1894-B

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.