publication . Preprint . Article . Other literature type . 2016

Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain.

Imbrie, John Z.;
Open Access English
  • Published: 05 Jul 2016
Abstract
We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of eigenvalues. In a KAM-style construction, a sequence of local unitary transformations is used to diagonalize the Hamiltonian by deforming the initial tensor product basis into a complete set of exact many-body eigenfunctions.
Subjects
free text keywords: Mathematical Physics, Condensed Matter - Disordered Systems and Neural Networks, Mathematics - Spectral Theory, 82D30, 60K35, 82B44, 82D30, Hamiltonian (quantum mechanics), symbols.namesake, symbols, Physics, Quantum mechanics, Spin (physics), Eigenfunction, Eigenvalues and eigenvectors, Condensed matter physics, Unitary state
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publication . Preprint . Article . Other literature type . 2016

Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain.

Imbrie, John Z.;